Rogozin, B.A. Arcsine distribution Springer 2001 http://en.wikipedia.org/wiki/Arcsine_distribution Evans, M. Hastings, N Peacock, B. Statistical Distributions, Bernoulli distribution Wiley 2000 3rd
New York
http://mathworld.wolfram.com/BernoulliDistribution.html Weisstein, Eric W. Beta Distribution MathWorld http://mathworld.wolfram.com/GammaDistribution.html 2009 Beyer, W. H. CRC Standard Mathematical Tables CRC Press 1987 28th
Boca Raton, FL
 Papoulis, A. The Fourier Integral and Its Applications McGraw-Hill 1962
New York
http://mathworld.wolfram.com/BetaDistribution.html Ivo D. Dinov Nicolas Christou Juana Sanchez 2008 Central Limit Theorem: New SOCR Applet and Demonstration Activity Journal of Statistics Education 16 2 http://www.amstat.org/publications/jse/v16n2/dinov.html Dinov, ID Christou, N Gould, R 2009 Law of Large Numbers: the Theory, Applications and Technology-based Education JSE 17 1 1-15 Christou N Dinov ID 2011 Confidence Interval Based Parameter Estimation -A New SOCR Applet and Activity PLoS ONE 6 5 e19178 10.1371/journal.pone.0019178 http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0019178 Exponential and gamma distributions on positive semigroups, with applications to Dirichlet distributions Kyle Siegrist Bernoulli 13 2 330-345 2007 Functional Fun in Statistics Teaching: Resources, Research and Recommendations Lawrence M. Lesser Dennis K. Pearl Journal of Statistics Education 16 3 330-345 2008 Jambunathan, M. V Some Properties of Beta and Gamma Distributions 1954 http://mathworld.wolfram.com/BetaDistribution.html Grubbs, Frank E. Attempts to Validate Certain PERT Statistics or Picking on PERT 1962 http://en.wikipedia.org/wiki/Beta_distribution Wolfram Demonstrations Project Chris Boucher Binomial distribution 2007 http://en.wikipedia.org/wiki/Binomial_distribution Microsoft Technical Report Minka, Thomas P. Estimating a Dirichlet distribution 2003 http://research.microsoft.com/en-us/um/people/minka/papers/dirichlet/ S.Kotz et al Encyclopedia of Statistical Sciences Wiley 2006 2nd http://en.wikipedia.org/wiki/Cauchy_distribution#References Vasicek, Oldrich A Test for Normality Based on Sample Entropy Journal of the Royal Statistical Society 1976 http://en.wikipedia.org/wiki/Cauchy_distribution#References Rothenberg, Thomas J. Fisher, Franklin, M. Tilanus, C.B. A note on estimation from a Cauchy sample Journal of the American Statistical Association 1966 http://en.wikipedia.org/wiki/Cauchy_distribution#References Cohen Freue Gabriella V. The Pitman estimator of the Cauchy location parameter Journal of Statistical Planning and Inference 2007 http://faculty.ksu.edu.sa/69424/USEPAP/Coushy%20dist.pdf McCullagh, P. Conditional inference and Cauchy models Biometrika 1992 http://biomet.oxfordjournals.org/content/79/2/247.abstract M. K. Simon Probability Distributions Involving Gaussian Random Variables Springer 2002
New York
 Proceedings of the National Academy of Sciences Wilson, E.B. Hilferty, M.M. The distribution of chi-square1931
Washington
 Johnson, N. Kotz, S.; Balakrishnan, N. Continuous Univariate Distributions Houghton Mifflin 1994 2nd
Boston, MA
http://mathworld.wolfram.com/ChiDistribution.html Evans, M. Hastings, N. Peacock, B. Chi Distribution Wiley 2000 3rd
New York
 Johnson, Roger Estimating the Size of a Population Teaching Statistics 1994 http://www.rsscse.org.uk/ts/index.htm Ritzema H.P. Drainage Principles and Applications: Frequency and Regression Analysis 1994 http://www.waterlog.info/pdf/freqtxt.pdf Shasha, Dennis Cathy Lazere Out of Their Minds:The Lives and Discoveries of 15 Great Computer Scientists 1995 Springer-Verlag
New York
 Lewin, L. Polylogarithms and Associated Functions 1981
North Holland, Amsterdam
http://en.wikipedia.org/wiki/Exponential-logarithmic_distribution#References Tahmasbi, R. Rezaei, S. A two-parameter lifetime distribution with decreasing failure rate: Computational Statistics and Data Analysis 2008 http://en.wikipedia.org/wiki/Exponential-logarithmic_distribution#References Nadarajah, Saralees A generalized normal distribution Journal of Applied Statistics September 2005 Varanasi, M.K. Aazhang, B. Parametric generalized Gaussian density estimation Journal of the Acoustical Society of America October 1989 Dominguez-Molina, J. Armando Gonzalez-Faras, Graciela Rodriguez-Dagnino, Ramin M. A practical procedure to estimate the shape parameter in the generalized Gaussian distribution 2009-03-03 http://www.cimat.mx/reportes/enlinea/I-01-18_eng.pdf George E. P. Box Tiao, George C. Bayesian Inference in Statistical Analysis Wiley 1992
New York
http://en.wikipedia.org/wiki/Exponential_power_distribution#References Liang, Faming Liu, Chuanhai Wang, Naisyin A Robust Sequential Bayesian Method For Identification Of Differentially Expressed Genes April 2007 http://www3.stat.sinica.edu.tw/statistica/oldpdf/A17n28.pdf Sinz, Fabian Gerwinn, Sebastian Bethge, Matthias Characterization of the p-generalized normal distribution Journal of Multivariate Analysis May 2009 Kac, M. On a characterization of the normal distribution American Journal of Mathematics 1939 http://en.wikipedia.org/wiki/Exponential_power_distribution#References Hosking, J.R.M. Wallis, J.R. Regional frequency analysis: an approach based on L-moments, Cambridge University Press 1997 NIST F-Distribution 2006 http://www.itl.nist.gov/div898/handbook/eda/section3/eda3665.htm Mood, Alexander Franklin A. Graybill Duane C. Boes Introduction to the Theory of Statistics McGraw-Hill 1974 Third Edition R. V. Hogg A. T. Craig Introduction to Mathematical Statistics Macmillan 1978 Fourth Edition
New York
http://en.wikipedia.org/wiki/Gamma_distribution#References S. C. Choi R. Wette Technometrics 1969 Willemse, W. J. Kaas, R. Insurance: Mathematics and Economics 2007 Gumbel, E.J. Statistical theory of extreme values and some practical applications U.S. Department of Commerce 1954 Ritzema (ed.), H.P. Frequency and Regression Analysis International Institute for Land Reclamation and Improvement 1994
Wageningen, The Netherlands
http://www.waterlog.info/pdf/freqtxt.pdf J. Talacko Perks' distributions and their role in the theory of Wiener's stochastic variables 1956 http://en.wikipedia.org/wiki/Hyperbolic_secant_distribution Luc Devroye Non-Uniform Random Variate Generation Springer-Verlag 1986
New York
http://en.wikipedia.org/wiki/Hyperbolic_secant_distribution Hall, Philip The Distribution of Means for Samples of Size N Drawn from a Population in which the Variate Takes Values Between 0 and 1, All Such Values Being Equally Probable Biometrika 1927 Irwin, J.O. On the Frequency Distribution of the Means of Samples from a Population Having any Law of Frequency with Finite Moments, with Special Reference to Pearson's Type II Biometrika 1927 Everitt, B.S. The Cambridge Dictionary of Statistics 2002 http://en.wikipedia.org/wiki/Laplace_distribution#References Johnson, N. L. Kotz, S. Balakrishnan N. Continuous Univariate Distributions 1995 2nd 2 http://en.wikipedia.org/wiki/Logistic_distribution N., Balakrishnan Handbook of the Logistic Distribution 1992 Marcel Dekker
New York
http://en.wikipedia.org/wiki/Logistic_distribution Aitchison, J. Brown, J.A.C. The Lognormal Distribution Cambridge University Press 1957 http://en.wikipedia.org/wiki/Log-normal_distribution E. Limpert W. Stahel M. Abbt BioScience 2001 http://stat.ethz.ch/~stahel/lognormal/bioscience.pdf Swamee, P.K. Near Lognormal Distribution Journal of Hydrologic Engineering 2002 http://ascelibrary.org/heo/resource/1/jhyeff/v7/i6/p441_s1?isAuthorized=no Roy B. Leipnik On Lognormal Random Variables: I - The Characteristic Function Journal of the Australian Mathematical Society Series B 1991 http://journals.cambridge.org/action/displaySpecialPage?pageId=1544 Gao et al. Asymptotic Behaviors of Tail Density for Sum of Correlated Lognormal Variables International Journal of Mathematics and Mathematical Sciences 2009 http://www.hindawi.com/journals/ijmms/2009/630857/ Advances in Futures and Options Research Robert Brooks Jon Corson J. Donal Wales The Pricing of Index Options When the Underlying Assets All Follow a Lognormal Diffusion 1994 http://papers.ssrn.com/sol3/papers.cfm?abstract_id=5735 Shoukri, M.M. Mian, I.U.M. Tracy, D.S. Sampling Properties of Estimators of the Log-Logistic Distribution with Application to Canadian Precipitation Data The Canadian Journal of Statistics 1988 http://en.wikipedia.org/wiki/Log-logistic_distribution#References Ashkar, Fahim Mahdi, Smail Fitting the log-logistic distribution by generalized moments Journal of Hydrology 2006 http://en.wikipedia.org/wiki/Log-logistic_distribution#References Biometrika Tadikamalla, Pandu R Johnson, Norman L. Systems of Frequency Curves Generated by Transformations of Logistic Variables 1982 http://www.jstor.org/pss/2335422 Tadikamalla, Pandu R. A Look at the Burr and Related Distributions International Statistical Review 1980 Bennett, Steve Log-Logistic Regression Models for Survival Data Applied Statistics 1983 http://www.jstor.org/pss/2347295 Collett, Dave Modelling Survival Data in Medical Research CRC press 2003 2nd Hosking, Jonathan R. M. Wallis, James R Regional Frequency Analysis: An Approach Based on L-Moments Cambridge University Press 1997 http://en.wikipedia.org/wiki/Log-logistic_distribution#References Flood Estimation Handbook Robson, A. Reed, D. Statistical Procedures for Flood Frequency Estimation
Wallingford, UK
1999 Ahmad, M. I. Sinclair, C. D. Werritty, A. Log-logistic flood frequency analysis Journal of Hydrology 1988 Villarini, G. Vecchi, G.A. Smith, J.A. Modeling of the dependence of tropical storm counts in the North Atlantic Basin on climate indices Monthly Weather Review 2010 http://en.wikipedia.org/wiki/Monthly_Weather_Review McCullagh, Peter Nelder, John Generalized Linear Models Boca Raton: Chapman and Hall/CRC 1989 2nd http://en.wikipedia.org/wiki/Generalized_linear_model Cameron, Adrian C. Trivedi, Pravin K. Regression analysis of count data Cambridge University Press 1998 http://cameron.econ.ucdavis.edu/racd/count.html Biometrika J. B. S. Haldane On a Method of Estimating Frequencies 1945 http://en.wikipedia.org/wiki/Biometrika Spencer, Paul The Pastoral Continuum: the Marginalization of Tradition in East Africa Clarendon Press 1998
Oxford
http://en.wikipedia.org/wiki/Negative_binomial_distribution#References Hilbe, Joseph M. Negative Binomial Regression Cambridge University Press 2007
Cambridge, UK
 Amari, Shun-ichi Nagaoka, Hiroshi Methods of information geometry Oxford University Press 2000 http://en.wikipedia.org/wiki/Normal_distribution#References Bernardo, J. M. Smith, A.F.M. Bayesian Theory Wiley 2000 Bryc, Wlodzimierz The normal distribution: characterizations with applications 1995 http://en.wikipedia.org/wiki/Normal_distribution#References Casella, George Berger, Roger L. Statistical inference 2001 2nd
Duxbury
 Cover, T. M. Thomas, Joy A. Elements of information theory John Wiley and Sons 2006 The Annals of Statistics Fan, Jianqing On the optimal rates of convergence for nonparametric deconvolution problems 1991 Galambos, Janos Simonelli, Italo Products of random variables: applications to problems of physics and to arithmetical functions Marcel Dekker, Inc. 2004 Stephen Jay Gould The mismeasure of man 1981 1st W.W. Norton http://en.wikipedia.org/wiki/The_Mismeasure_of_Man The American Statistician Halperin, Max Hartley, H. O. Hoel, P. G. Recommended standards for statistical symbols and notation 1965 Hart, John F. Computer approximations John Wiley & Sons 1968
New York
http://en.wikipedia.org/wiki/Normal_distribution#References Huxley, Julian S. Problems of relative growth 1932
London
 The Annals of Mathematical Statistics Lukacs, Eugene King, Edgar P. A property of normal distribution 1954 McPherson, G. Statistics in scientific investigation: its basis, application and interpretation Springer-Verlag 1990 http://en.wikipedia.org/wiki/Normal_distribution#References Marsaglia, George Tsang, Wai Wan The Ziggurat Method for Generating Random Variables Journal of Statistical Software 2000 http://www.jstatsoft.org/v05/i08/paper Stigler, Stephen M. Mathematical statistics in the early states The Annals of Statistics 1978 Stigler, Stephen M. A modest proposal: a new standard for the normal The American Statistician 1982 Stigler, Stephen M. The history of statistics: the measurement of uncertainty before 1900 Harvard University Press 1986 Barry C. Arnold Pareto Distributions International Co-operative Publishing House 1983 http://en.wikipedia.org/wiki/Pareto_distribution#External_links Christian Kleiber Samuel Kotz Statistical Size Distributions in Economics and Actuarial Sciences Willey 2003 V. Guerriero A. Iannace S. Mazzoli M. Parente S. Vitale M. Giorgioni Quantifying uncertainties in multi-scale studies of fractured reservoir analogues: Implemented statistical analysis of scan line data from carbonate rocks Journal of Structural Geology 2009 http://dx.doi.org/10.1016/j.jsg.2009.04.016 Joachim H. Ahrens Ulrich Dieter Computer Generation of Poisson Deviates ACM Transactions on Mathematical Software 1982 http://portal.acm.org/citation.cfm?id=355997 Ronald J. Evans J. Boersma N. M. Blachman A. A. Jagers The Entropy of a Poisson Distribution 1988 Sijbers J. den Dekker A. J. J. Van Audekerke Verhoye M. Van Dyck D. Magnetic Resonance Imaging 1998 Talukdar, K.K. Lawing, William D. Estimation of the parameters of the Rice distribution 1991 http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JASMAN000089000003001193000001&idtype=cvips&gifs=yes&ref=no Abdi, A. Tepedelenlioglu, C. Kaveh, M. Giannakis, G. On the estimation of the K parameter for the Rice fading distribution 2001 http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=913150&tag=1 I. Soltani Bozchalooi Ming Liang A smoothness index-guided approach to wavelet parameter selection in signal de-noising and fault detection Journal of Sound and Vibration 2007 http://www.sciencedirect.com/science?_ob=Articleurl&_udi=B6WM3-4PK8B4Y-7&_user=446478&_coverDate=11%2F20%2F2007&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_acct=C000020380&_version=1&_urlVersion=0&_userid=446478&md5=b10b8071cb599dcee81b1c353b80d949&searchtype=a Bailey, R. W. Polar generation of random variates with the t-distribution Mathematics of Computation 1994 W.N. Venables B.D. Ripley Modern Applied Statistics with S Springer 2002 4th http://en.wikipedia.org/wiki/T-distribution#References Gelman, Andrew John B. Carlin Hal S. Stern Donald B. Rubin Bayesian Data Analysis CRC/Chapman & Hall 2003 2nd http://www.stat.columbia.edu/~gelman/book/ Borradaile, Graham Statistics of Earth Science DataSpringer2003http://books.google.com/books?id=R3GpDglVOSEC&printsec=frontcover&source=gbs_navlinks_s#v=onepage&q&f=false Mardia, Kanti V. Jupp, Peter E. Directional Statistics Wiley 1999
New York
 Fisher, Nicholas I. Statistical Analysis of Circular Data 1993
New York
 Raj Chhikara Leroy Folks The inverse gaussian distribution: theory, methodology, and applications 1989 V. Seshadri The Inverse Gaussian Distribution Oxford Univ Press 1993 Sagias, Nikos C. Karagiannidis, George K. Gaussian class multivariate Weibull distributions: theory and applications in fading channels Transactions on Information Theory 2005