Statistics and Data Analysis

References

Useful Links

References

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Probability Theory: The Logic of Science, E. T. Jaynes, Cambridge University Press, 2003. Edited by G. Larry Bretthorst (See also the Fragmentary Edition of June 1994, available also here, and the Unofficial Errata and Commentary). http://www.cambridge.org/asia/catalogue/catalogue.asp?isbn=9780521592710.

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Kendall's Advanced Theory of Statistics, Volume 2A: Classical Inference and and the Linear Model, M. Kendall, A. Stuart, J.K. Ord, S. Arnold, Oxford University Press, 1999. Sixth Edition.

[1-6]

Statistical Data Analysis, Glen Cowan, Oxford University Press, 1998. http://ukcatalogue.oup.com/product/9780198501558.do.

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Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory, M. Kendall, A. Stuart, J.K. Ord, Oxford University Press, 1994. Sixth Edition.

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Kendall's Advanced Theory of Statistics, Volume 2B: Bayesian Inference, A. O'Hagan, Oxford University Press, 1994. First Edition.

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Probability and Statistics in Experimental Physics, Byron P. Roe, Springer, 1992. http://www.springer.com/physics/complexity/book/978-0-387-95163-8.

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[1-13]

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[2-1]

Bayesian inference in physics, von Toussaint, Udo, Rev. Mod. Phys. 83 (2011) 943-999, American Physical Society. http://link.aps.org/doi/10.1103/RevModPhys.83.943.

[2-2]

Introduction to Randomness and Statistics, Alexander K. Hartmann, arXiv:0910.4545, 2009.

[3-1]

Topics in statistical data analysis for high-energy physics, G. Cowan, arXiv:1012.3589, 2010. 2009 European School of High-Energy Physics, Bautzen, Germany, 14-27 Jun 2009.

[3-2]

Statistical methods in cosmology, Verde, Licia, Lect. Notes Phys. 800 (2010) 147-177, arXiv:0911.3105. 2nd Trans-Regio Winter school in Passo del Tonale.

[3-3]

Statistical techniques in cosmology, Heavens, Alan, arXiv:0906.0664, 2009. Francesco Lucchin summer school, Bertinoro, Italy, May 2009.

[3-4]

Basics of Feature Selection and Statistical Learning for High Energy Physics, Anselm Vossen, arXiv:0803.2344, 2008. Track 'Computational Intelligence for HEP Data Analysis' at iCSC 2006.

[3-5]

Conference Summary: Astronomy Perspective of Astro-Statistics, Ofer Lahav, arXiv:astro-ph/0610713, 2006. Statistical Challenges in Modern Astronomy IV, 2007.

[3-6]

Blind Analysis in Particle Physics, Aaron Roodman, ECONF C030908 (2003) TUIT001, arXiv:physics/0312102. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/TUIT001.pdf.

[3-7]

Introduction to Statistical Issues in Particle Physics, Roger Barlow, ECONF C030908 (2003) MOAT002, arXiv:physics/0311105. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/MOAT002.pdf.

[3-8]

Statistical problems in particle physics, astrophysics and cosmology., L. Lyons (ed.), R. P. Mount (ed.), R. Reitmeyer (ed.), 2003. PHYSTAT2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/proceedings.html.

[3-9]

A Glossary of Selected Statistiscal Terms, H.B. Prosper, J.T. Linneman, W.A. Rolke, 2002. Advanced Statistical Techniques in Particle Physics, Durham, UK, 18-22 March 2002. http://www.ippp.dur.ac.uk/Workshops/02/statistics/proceedings/glossary.pdf.

[3-10]

Conference Summary Talk, R. Cousins, 2002. Advanced Statistical Techniques in Particle Physics, Durham, UK, 18-22 March 2002. http://www.ippp.dur.ac.uk/Workshops/02/statistics/proceedings/cousins.pdf.

[3-11]

Overview of Principles of Statistics, F. James, 2002. Advanced Statistical Techniques in Particle Physics, Durham, UK, 18-22 March 2002. http://www.ippp.dur.ac.uk/Workshops/02/statistics/papers/james_1/index.html, http://www.ippp.dur.ac.uk/Workshops/02/statistics/proceedings/james1.pdf.

[3-12]

Advanced statistical techniques in particle physics., M. R. Whalley (ed.), L. Lyons (ed.), 2002. Conference on Advanced Statistical Techniques in Particle Physics, Durham, England, 18-22 Mar 2002. http://www.ippp.dur.ac.uk/Workshops/02/statistics/proceedings.shtml.

[3-13]

Introduction to Monte Carlo methods, Weinzierl, Stefan, arXiv:hep-ph/0006269, 2000.

[3-14]

Workshop on Confidence Limits, F. James (ed.), L. Lyons (ed.), Y. Perrin (ed.), 2000. CERN "Yellow" Report CERN 2000-005. Workshop on Confidence Limits at CERN, 17-18 January 2000. http://preprints.cern.ch/cernrep/2000/2000-005/2000-005.html.

[3-15]

Bayesian Restoration of Digital Images Employing Markov Chain Monte Carlo a Review, K. P. N. Murthy, arXiv:cs.CV/0504037, 20cs. National Seminar on Recent Trends in Digital Image Processing and Applications, Yadava College, Madurai 28-29 Oct. 2004.

[4-1]

Bayes in the sky: Bayesian inference and model selection in cosmology, Roberto Trotta, Contemp. Phys. 49 (2008) 71-104, arXiv:0803.4089.

[4-2]

Bayesian inference in processing experimental data: Principles and basic applications, D'Agostini, G., Rept. Prog. Phys. 66 (2003) 1383-1420, arXiv:physics/0304102.

[4-3]

Bayesian reasoning in high-energy physics: Principles and applications, D'Agostini, G., 1999. CERN "Yellow" report CERN 99-03. http://preprints.cern.ch/cernrep/1999/99-03/99-03.html.

[4-4]

Formal Rules for Selecting Prior Distributions: A Review and Annotated Bibliography, R. E. Kass, L. Wasserman, Journal of The American Statistical Association 91 (1996) 1343. http://www.stat.cmu.edu/www/cmu-stats/tr/tr583/tr583.html.

[4-5]

Probability and Measurement Uncertainty in Physics - a Bayesian Primer, D'Agostini, G., arXiv:hep-ph/9512295, 1995.

[4-6]

The Promise of Bayesian Inference for Astrophysics, T. J. Loredo, 1992. in Statistical Challenges in Modern Astronomy, ed. E.D. Feigelson and G.J. Babu, Springer-Verlag, New York, 1992, pp. 275-297. http://astrosun.tn.cornell.edu/staff/loredo/bayes/tjl.html.

[4-7]

From Laplace to Supernova SN 1987A: Bayesian Inference in Astrophysics, T. J. Loredo, 1990. in Maximum-Entropy and Bayesian Methods, Dartmouth, 1989, ed. P. Fougere, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1990, pp. 81-142. http://astrosun.tn.cornell.edu/staff/loredo/bayes/tjl.html.

[5-1]

Lectures on Probability, Entropy, and Statistical Physics, Ariel Caticha, arXiv:0808.0012, 2008. MaxEnt 2008, the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 8-13, 2008, Boraceia Beach, Sao Paulo, Brazil).

[5-2]

Bayesian analysis, Prosper, Harrison B., arXiv:hep-ph/0006356, 2000. Yellow Report CERN 2000-005, p.29-47. Workshop on Confidence Limits, CERN, 17-18 January 2000.

[6-1]

chi^2 and Linear Fits, A. Gould, arXiv:astro-ph/0310577, 2003.

[7-1]

An Essay towards solving a Problem in the Doctrine of Chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, M. A. and F. R. S., Thomas Bayes, Philosophical Transactions of the Royal Society 53 (1763) 370-418. http://www.stat.ucla.edu/history/essay.pdf.

[8-1]

A method for statistical comparison of histograms, Sergey Bityukov, Nikolai Krasnikov, Alexander Nikitenko, Vera Smirnova, arXiv:1302.2651, 2013.

[8-2]

Calculating error bars for neutrino mixing parameters, H. R. Burroughs, B. K. Cogswell, J. Escamilla-Roa, D. C. Latimer, D. J. Ernst, Phys. Rev. C85 (2012) 068501, arXiv:1204.1354.

[8-3]

The profile likelihood ratio and the look elsewhere effect in high energy physics, Gioacchino Ranucci, Nucl. Instrum. Meth. A661 (2012) 77-85, arXiv:1201.4604.

[8-4]

Testing the approximations described in 'Asymptotic formulae for likelihood-based tests of new physics', Eric Burns, Wade Fisher, arXiv:1110.5002, 2011.

[8-5]

Cancelling out systematic uncertainties, Jorge Norena, Licia Verde, Raul Jimenez, Carlos Pena-Garay, Cesar Gomez, Mon. Not. Roy. Astron. Soc. 419 (2012) 1040, arXiv:1107.0729.

[8-6]

Power-Constrained Limits, Glen Cowan, Kyle Cranmer, Eilam Gross, Ofer Vitells, arXiv:1105.3166, 2011.

[8-7]

Some ways of combining optimum interval upper limits, S. Yellin, arXiv:1105.2928, 2011.

[8-8]

Asymptotic formulae for likelihood-based tests of new physics, Glen Cowan, Kyle Cranmer, Eilam Gross, Ofer Vitells, Eur. Phys. J. C71 (2011) 1554, arXiv:1007.1727.

[8-9]

How good are your fits? Unbinned multivariate goodness-of-fit tests in high energy physics, Mike Williams, JINST 5 (2010) P09004, arXiv:1006.3019.

[8-10]

Formalism for Simulation-based Optimization of Measurement Errors in High Energy Physics, Yuehong Xie, arXiv:0901.3305, 2009.

[8-11]

An Ad-Hoc Method for Obtaining Values from Unbinned Maximum Likelihood Fits, M. Williams, C. A. Meyer, arXiv:0807.0015, 2008.

[8-12]

Averaging Results with Theoretical Uncertainties, F. C. Porter, arXiv:0806.0530, 2008.

[8-13]

Use of the median in Physics and Astronomy, Jean-Michel Levy, arXiv:0804.0606, 2008.

[8-14]

Testing Consistency of Two Histograms, Frank C. Porter, arXiv:0804.0380, 2008.

[8-15]

On sensitivity calculations for neutrino oscillation experiments, Jan Conrad, Nucl. Instrum. Meth. A580 (2007) 1460-1465, arXiv:0710.2969.

[8-16]

Estimation of experimental data redundancy and related statistics, I. Grabec, arXiv:0704.0162, 2007.

[8-17]

Extraction of physical laws from joint experimental data, I. Grabec, arXiv:0704.0151, 2007.

[8-18]

Notes on statistical separation of classes of events, Giovanni Punzi, arXiv:physics/0611219, 2006.

[8-19]

Why your model parameter confidences might be too optimistic - unbiased estimation of the inverse covariance matrix, J. Hartlap, P. Simon, P. Schneider, arXiv:astro-ph/0608064, 2006.

[8-20]

A Test for the Presence of a Signal, Wolfgang A. Rolke, Angel M. Lopez, arXiv:physics/0606006, 2006.

[8-21]

Optimal Data-Based Binning for Histograms, Kevin H. Knuth, arXiv:physics/0605197, 2006.

[8-22]

A General Theory of Goodness of Fit in Likelihood Fits, Raja, Rajendran, arXiv:physics/0509008, 2005.

[8-23]

On the Statistical Significance, Yongsheng Zhu, arXiv:physics/0507145, 2005.

[8-24]

Sifting data in the real world, Block, Martin M., Nucl. Instrum. Meth. A556 (2006) 308, arXiv:physics/0506010.

[8-25]

Simultaneous Least Squares Treatment of Statistical and Systematic Uncertainties, Werner M. Sun, Nucl. Instrum. Meth. A556 (2006) 325, arXiv:physics/0503050.

[8-26]

Late-Night Thoughts About the Significance of a Small Count of Nuclear or Particle Events, Ivan V. Anicin, arXiv:physics/0501108, 2005.

[8-27]

Inferring the success parameter p of a binomial model from small samples affected by background, G. D'Agostini, arXiv:physics/0412069, 2004.

[8-28]

Asymmetric Statistical Errors, Roger Barlow, arXiv:physics/0406120, 2004.

[8-29]

Computation of Confidence Levels for Exclusion or Discovery of a Signal with the Method of Fractional Event Counting, P.Bock, JHEP 01 (2007) 080, arXiv:hep-ex/0405072.

[8-30]

Asymmetric Uncertainties: Sources, Treatment and Potential Dangers, G. D'Agostini, arXiv:physics/0403086, 2004.

[8-31]

Facts, Values and Quanta, D. M. Appleby, arXiv:quant-ph/0402015, 2004.

[8-32]

Comments on Likelihood fits with variable resolution, Punzi, Giovanni, eConf C030908 (2003) WELT002, arXiv:physics/0401045.

[8-33]

Peak finding through Scan Statistics, F. Terranova, Nucl. Instrum. Meth. A519 (2004) 659, arXiv:physics/0311020.

[8-34]

A note on the use of the word "likelihood" in statistics and meteorology, Stephen Jewson, Anders Brix, Christine Ziehmann, arXiv:physics/0310020, 2003.

[8-35]

Statistical Challenges with Massive Data Sets in Particle Physics, Bruce Knuteson, Paul Padley, arXiv:hep-ex/0305064, 2003.

[8-36]

Unbiased cut selection for optimal upper limits in neutrino detectors: the model rejection potential technique, Hill, Gary C., Rawlins, Katherine, Astropart. Phys. 19 (2003) 393, arXiv:astro-ph/0209350.

[8-37]

Clustering statistics in cosmology, Martinez, Vicent J., Saar, Enn, arXiv:astro-ph/0209208, 2002.

[8-38]

Interpolation and smoothing, Lombardi, Marco, Astron. Astrophys. 395 (2002) 733, arXiv:astro-ph/0208533.

[8-39]

Finding an upper limit in the presence of unknown background, Yellin, S., Phys. Rev. D66 (2002) 032005, arXiv:physics/0203002.

[8-40]

Analytic marginalization over CMB calibration and beam uncertainty, Bridle, S. L. et al., Mon. Not. Roy. Astron. Soc. 335 (2002) 1193, arXiv:astro-ph/0112114.

[8-41]

Error estimates on parton density distributions, Botje, M., J. Phys. G28 (2002) 779-790, arXiv:hep-ph/0110123.

[8-42]

Frequentist and Bayesian confidence limits, Zech, Gunter, Eur. Phys. J. direct C4 (2002) 12, arXiv:hep-ex/0106023.

[8-43]

Uncertainties of predictions from parton distribution functions. I: The Lagrange multiplier method, Stump, D. et al., Phys. Rev. D65 (2001) 014012, arXiv:hep-ph/0101051.

[8-44]

Uncertainties of predictions from parton distribution functions. II: The Hessian method, Pumplin, J. et al., Phys. Rev. D65 (2001) 014013, arXiv:hep-ph/0101032.

[8-45]

Confronting classical and Bayesian confidence limits to examples, Zech, Gunter, arXiv:hep-ex/0004011, 2000.

[8-46]

Citations and the Zipf-Mandelbrot's law, Z. K. Silagadze, Complex Syst. 11 (1997) 487-499, arXiv:physics/9901035.

[8-47]

Expected coverage of Bayesian and classical intervals for a small number of events, Helene, O., Phys. Rev. D60 (1999) 037901.

[8-48]

Estimation of Asymmetry in Physics, S. Wilson, K. J. Coakley, Phys. Rev. E53 (1996) 2160-2168.

[8-49]

Why isn't every physicist a Bayesian?, Cousins, R. D., Am. J. Phys. 63 (1995) 398.

[9-1]

Statistical Evaluation of Experimental Determinations of Neutrino Mass Hierarchy, X. Qian et al., arXiv:1210.3651, 2012.

[9-2]

Limit setting procedures and theoretical uncertainties in Higgs boson searches, Bernhard Mistlberger, Falko Dulat, arXiv:1204.3851, 2012.

[9-3]

Reinterpretion of Experimental Results with Basis Templates, Kanishka Rao, Daniel Whiteson, arXiv:1203.6642, 2012.

[9-4]

Estimating the significance of a signal in a multi-dimensional search, Ofer Vitells, Eilam Gross, Astropart. Phys. 35 (2011) 230-234, arXiv:1105.4355.

[9-5]

CHIWEI: A code of goodness of fit tests for weighted and unweighed histograms, Nikolai Gagunashvili, (2011), arXiv:1104.3733.

[9-6]

Statistical Significance of the Gallium Anomaly, Carlo Giunti, Marco Laveder, Phys. Rev. C83 (2011) 065504, arXiv:1006.3244.

[9-7]

On the Peirce's 'balancing reasons rule' failure in his 'large bag of beans' example, G. D'Agostini, arXiv:1003.3659, 2010.

[9-9]

On the so-called Boy or Girl Paradox, G. D'Agostini, arXiv:1001.0708, 2010.

[9-9]

On the so-called Boy or Girl Paradox, G. D'Agostini, arXiv:1001.0708, 2010.

[9-10]

A Bayesian Assessment of P-Values for Significance Estimation of Power Spectra and an Alternative Procedure, with Application to Solar Neutrino Data, P.A. Sturrock, J.D. Scargle, Astrophys. J. 706 (2009) 393-398, arXiv:0904.1713.

[9-11]

A pitfall in the use of extended likelihood for fitting fractions of pure samples in mixed samples, A. Nappi, Comput. Phys. Commun. 180 (2009) 269, arXiv:0803.2711.

[9-12]

A practical guide to Basic Statistical Techniques for Data Analysis in Cosmology, Verde, Licia, arXiv:0712.3028, 2007.

[9-13]

Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses, Ole Host, Ofer Lahav, Filipe B. Abdalla, Klaus Eitel, Phys. Rev. D76 (2007) 113005, arXiv:0709.1317.

[9-14]

On influence of experimental resolution on the statistical significance of a signal: implication for pentaquark searches, S.V. Chekanov, B.B. Levchenko, Phys. Rev. D76 (2007) 074025, arXiv:0707.2203.

[9-15]

Statistical methods applied to composition studies of ultrahigh energy cosmic rays, F. Catalani et al., Astropart. Phys. 28 (2007) 357-365, arXiv:astro-ph/0703582.

[9-16]

Information criteria for astrophysical model selection, Andrew R Liddle, Mon. Not. Roy. Astron. Soc. Lett. 377 (2007) L74-L78, arXiv:astro-ph/0701113.

[9-17]

A Likelihood Method for Measuring the Ultrahigh Energy Cosmic Ray Composition, HiRes Collaboration (HiRes), Astropart. Phys. 26 (2006) 28-40, arXiv:astro-ph/0604558.

[9-18]

A procedure to produce excess, probability and significance maps and to compute point-sources flux upper limits, Billoir, P., Letessier-Selvon, A., arXiv:astro-ph/0507538, 2005.

[9-19]

Which cosmological model with dark energy - phantom or LambdaCDM, Wlodzimierz Godlowski Marek Szydlowski, Phys. Lett. B623 (2005) 10, arXiv:astro-ph/0507322.

[9-20]

Higher Criticism Statistic: Detecting and Identifying Non-Gaussianity in the WMAP First Year Data, L. Cayon, J. Jin, A. Treaster, Mon. Not. Roy. Astron. Soc. 362 (2005) 826, arXiv:astro-ph/0507246.

[9-21]

Blind search for the real sample: Application to the origin of ultra-high energy cosmic rays, Stern, Boris E., Poutanen, Juri, Astrophys. J. 623 (2005) L33, arXiv:astro-ph/0501677.

[9-22]

Time series analysis in Astronomy: limits and potentialities, Vio, R., Kristensen, N. R., Madsen, H., Wamsteker, W., arXiv:astro-ph/0410367, 2004.

[9-23]

Nonparametric Inference for the Cosmic Microwave Background, Christopher R. Genovese et al., arXiv:astro-ph/0410140, 2004.

[9-24]

Probabilistic forecasts of temperature: measuring the utility of the ensemble spread, Stephen Jewson, arXiv:physics/0410039, 2004.

[9-25]

Three-Point Statistics from a New Perspective, Istvan Szapudi, Astrophys. J. 605 (2004) L89, arXiv:astro-ph/0404476.

[9-26]

sPlot: a statistical tool to unfold data distributions, Muriel Pivk, Francois R. Le Diberder, Nucl. Instrum. Meth. A555 (2005) 356, arXiv:physics/0402083.

[9-27]

Neutrino spin and chiral dynamics in gravitational fields, Singh, Dinesh, Phys. Rev. D71 (2005) 105003, arXiv:gr-qc/0401044.

[9-28]

Do probabilistic medium-range temperature forecasts need to allow for non-normality?, Stephen Jewson, arXiv:physics/0310060, 2003.

[9-29]

Comparing the ensemble mean and the ensemble standard deviation as inputs for probabilistic medium-range temperature forecasts, Stephen Jewson, arXiv:physics/0310059, 2003.

[9-30]

The statistical distribution of money and the rate of money transference, Juan C. Ferrero, arXiv:cond-mat/0306322, 2003.

[9-31]

Tests of Statistical Significance and Background Estimation in Gamma Ray Air Shower Experiments, R. Fleysher et al., Astrophys. J. 603 (2004) 355, arXiv:astro-ph/0306015.

[9-32]

Maximum likelihood analysis of the first KamLAND results, A. Ianni, J. Phys. G29 (2003) 2107, arXiv:hep-ph/0302230.

[9-33]

Improved approximations of Poissonian errors for high confidence levels, Harald Ebeling, Mon. Not. Roy. Astron. Soc. 349 (2004) 768, arXiv:astro-ph/0301285.

[9-34]

Higgs Statistics for Pedestrians, Eilam Gross, Amit Klier, arXiv:hep-ex/0211058, 2002.

[10-1]

Probably a discovery: Bad mathematics means rough scientific communication, G. D'Agostini, arXiv:1112.3620, 2011. University of Perugia, 15-16 April 2011 and at MAPSES School in Lecce, 23-25 November 2011.

[10-2]

Discovery and Upper Limits in Search for Exotic Physics with Neutrino Telescopes, Jan Conrad, arXiv:astro-ph/0612082, 2006. Workshop on Exotic Physics with Neutrino Telescope, Uppsala, Sweden, Sept. 2006.

[10-3]

Maximum likelihood estimation for a group of physical transformations, G. Chiribella, G. M. D'Ariano, P. Perinotti, M. F. Sacchi, arXiv:quant-ph/0507007, 2005. Workshop on "Quantum entanglement in physical and information sciences", Pisa, December 14-18, 2004.

[10-4]

Statistical Challenges of Cosmic Microwave Background Analysis, Benjamin D. Wandelt, ECONF C030908 (2004) THAT004, arXiv:astro-ph/0401622. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/THAT004.pdf.

[10-5]

Setting confidence intervals in coincidence search analysis, Lucio Baggio, Giovanni A. Prodi, ECONF C030908 (2003) WELT003, arXiv:astro-ph/0312353. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/WELT003.pdf.

[10-6]

Blind Analysis in Particle Physics, Roodman, Aaron, ECONF C030908 (2003) TUIT001, arXiv:physics/0312102. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/TUIT001.pdf.

[10-7]

Measures of Significance in HEP and Astrophysics, J. T. Linnemann, ECONF C030908 (2003) MOBT001, arXiv:physics/0312059. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/MOBT001.pdf.

[10-8]

Statistical Issues in Particle Physics - A View from BaBar, Frank C. Porter et al. (BaBar), ECONF C030908 (2003) WEAT002, arXiv:physics/0311092. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/WEAT002.pdf.

[11-1]

Quantum Mechanics as Quantum Information (and only a little more), Christopher A. Fuchs, arXiv:quant-ph/0205039, 2002.

[11-2]

Conditions for compatibility of quantum-state assignments, Carlton M. Caves, Christopher A. Fuchs, Rudiger Schack, Phys. Rev. A66 (2002) 062111.

[11-3]

Unknown Quantum States: the Quantum de Finetti Representation, Carlton M. Caves, Christopher A. Fuchs, Rudiger Schack, J. Math. Phys. 43 (2002) 4537.

[11-4]

Quantum Probabilities as Bayesian Probabilities, Carlton M. Caves, Christopher A. Fuchs, Rudiger Schack, Phys. Rev. A65 (2002) 022305.

[11-5]

Notes on a Paulian Idea: Foundational, Historical, Anecdotal and Forward-Looking Thoughts on the Quantum, Christopher A. Fuchs, arXiv:quant-ph/0105039, 2001.

[11-6]

Quantum Probability from Decision Theory?, Barnum, H., Caves, C. M., Finkelstein, J., Fuchs, C. A., Schack, R., Proc. Roy. Soc. Lond. A456 (2000) 1175-1182, arXiv:quant-ph/9907024.

[11-7]

Quantum Theory of Probability and Decisions, Deutsch, David, arXiv:quant-ph/9906015, 1999.

[11-8]

The Statistical Interpretation of Quantum Mechanics, L. E. Ballentine, Rev. Mod. Phys. 42 (1970) 358.

[12-1]

Computing the Bayesian Evidence from a Markov Chain Monte Carlo Simulation of the Posterior Distribution, Martin D. Weinberg, arXiv:0911.1777, 2009.

[12-2]

A Quantitative Occam's Razor, R. D. Sorkin, Int. J. Theor. Phys. 22 (1983) 1091, arXiv:astro-ph/0511780.

[12-3]

A Hidden Markov model for Bayesian data fusion of multivariate signals, O. Feron, A. Mohammad-Djafari, arXiv:physics/0403149, 2004. presented at Fifth Int. Triennial Calcutta Symposium on Probability and Statistics, 28-31 December. 2003, Dept. of Statistics, Calcutta University, Kolkata, India.

[12-4]

A Bayesian approach to change point analysis of discrete time series, A. Mohammad-Djafari, O. Feron, arXiv:physics/0403148, 2004.

[12-5]

Probabilities as Measures of Information, F. G. Perey, arXiv:quant-ph/0310073, 2003.

[12-6]

A Good Measure for Bayesian Inference, H. L. Harney, arXiv:physics/0103030, 2001.

[12-7]

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Estimation of Goodness-of-Fit in Multidimensional Analysis Using Distance to Nearest Neighbor, Ilya Narsky, arXiv:physics/0306171, 2003.

[18-10]

Goodness-of-fit Statistics and CMB Data Sets, M. Douspis, J.G. Bartlett, A. Blanchard, Astron. Astrophys. 410 (2003) 11, arXiv:astro-ph/0305428.

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Uncertainties of predictions from parton distributions. I: experimental errors, Martin, A. D., Roberts, R. G., Stirling, W. J., Thorne, R. S., Eur. Phys. J. C28 (2003) 455, arXiv:hep-ph/0211080.

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Multivariate Analysis from a Statistical Point of View, K. S. Cranmer, ECONF C030908 (2003) WEJT002, arXiv:physics/0310110. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/WEJT002.pdf.

[20-1]

Nonparametric Methods for Doubly Truncated Data, Efron, Bradley, Petrosian, Vahe, arXiv:astro-ph/9808334, 1998.

[20-2]

Application of the bootstrap statistical method to the tau decay mode problem, Hayes, K. G., Perl, Martin L., Efron, Bradley, Phys. Rev. D39 (1989) 274.

[21-1]

Likelihood ratio intervals with Bayesian treatment of uncertainties: coverage, power and combined experiments, Jan Conrad, Fredrik Tegenfeldt, arXiv:physics/0511055, 2005. PhyStat2005, Oxford, UK, Sept 2005, Imperial College Press.

[21-2]

Deriving laws from ordering relations, Kevin H. Knuth, arXiv:physics/0403031, 2004. Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Jackson Hole WY 2003.

[21-3]

A Measure of the Goodness of Fit in Unbinned Likelihood Fits; End of Bayesianism?, Rajendran Raja, ECONF C030908 (2003) MOCT003, arXiv:physics/0401133. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/MOCT003.pdf.

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Asymmetric Errors, Barlow, Roger, ECONF C030908 (2003) WEMT002, arXiv:physics/0401042. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/WEMT002.pdf.

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A unified approach to understanding statistics, James, Fred, ECONF C030908 (2003) THAT002. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/THAT002.pdf.

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Definition and treatment of systematic uncertainties in high energy physics and astrophysics, Sinervo, Pekka, ECONF C030908 (2003) TUAT004. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/TUAT004.pdf.

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Likelihood inference in the presence of nuisance parameters, N. Reid, D.A.S. Fraser, ECONF C030908 (2003) THAT001. PHYSTAT2003, SLAC, Stanford, Ca, USA, 8-11 Sep 2003. http://www.slac.stanford.edu/econf/C030908/papers/THAT001.pdf.

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Signal Significance in Particle Physics, Sinervo, Pekka K., arXiv:hep-ex/0208005, 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

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Signal significance in the presence of systematic and statistical uncertainties, Bityukov, S. I., JHEP 09 (2002) 060, arXiv:hep-ph/0207130. 8th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 2002), Moscow, Russia, 24-28 June 2002.

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Systematic errors: Facts and fictions, Barlow, Roger, arXiv:hep-ex/0207026, 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-11]

Statistical practice at the Belle experiment, and some questions, Yabsley, Bruce, J. Phys. G28 (2002) 2733, arXiv:hep-ex/0207006. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

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Uncertainties on parton related quantities, Thorne, R. S., J. Phys. G28 (2002) 2705-2716, arXiv:hep-ph/0205235. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-13]

Questions on uncertainties in parton distributions, Thorne, R. S. et al., J. Phys. G28 (2002) 2717-2722, arXiv:hep-ph/0205233. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

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Uncertainties and Discovery Potential in Planned Experiments, Bityukov, S. I., Krasnikov, N. V., arXiv:hep-ph/0204326, 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-15]

Answers to Fred James" "Comments on a paper by Garzelli and Giunti', Giunti, C., 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-16]

Comments on a paper by Garzelli and Giunti, James, F., 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-17]

Confidence Limits and their Errors, Rajendran Raja, 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[21-18]

Credibility of Confidence Intervals, Dean Karlen, 2002. Advanced Statistical Techniques in Particle Physics, Durham, March 2002. Advanced Statistical Techniques in Particle Physics'>Advanced Statistical Techniques in Particle Physics.

[22-1]

The Fermi's Bayes Theorem, G. D'Agostini, arXiv:physics/0509080, 2005.

Useful Links

Review of Particle Physics: Probability and Statistic

Uncertainty of Measurement Results from NIST

BIPS: Bayesian Inference for the Physical Sciences

Giulio D'Agostini page on Probability and Statistics

International Society for Bayesian Analysis

Probability Theory As Extended Logic

Probability Theory: The Logic of Science by E. T. Jaynes, Fragmentary Edition of June 1994 (available also here) and the Unofficial Errata and Commentary

Probability Tutorials

CDF Statistics Committee

IPP Bayesian Data Analysis Group

BaBar Statistics Working Group web page

Carnegie Mellon Department of Statistics Technical Reports

Introduction to Probability, by Charles Grinstead and J. Laurie Snell

Bayes's Theorem, Stanford Encyclopedia of Philosophy

Workshop on Confidence Limits, CERN Yellow Report 2000-005, FNAL Confidence Limits Workshop, Durham Conference on `Advanced Statistical Techniques in Particle Physics', PHYSTAT 03, PHYSTAT 05

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