List of important publications in statistics

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This is a list of important publications in statistics, organized by field.

Some reasons why a particular publication might be regarded as important:

  • Topic creator – A publication that created a new topic
  • Breakthrough – A publication that changed scientific knowledge significantly
  • Introduction – A publication that is a good introduction or survey of a topic
  • Influence – A publication which has significantly influenced the world
  • Latest and greatest – The current most advanced result in a topic

Contents

[edit] Probability

Théorie analytique des probabilités

Author: Pierre-Simon Laplace
Publication data: 1820 (3rd ed.)
Online version: ?
Description: Attacks the roots of least squares and interpolation techniques, bringing back techniques from a century before that were long forgotten, studies the influence of median and skewness in regression analysis (even thought it wasn't called that way in the time). Inspired the field of robust regression, proposed the Laplace distribution and was the first to seriously criticize Carl Friedrich Gauss work on statistics.
Importance: Topic creator, Breakthrough, Influence

The Doctrine of Chances

Author: Abraham de Moivre
Publication data: 1738 (2nd ed.)
Online version: ?
Description: The book introduced the concept of normal distributions as approximations to binomial distributions. In effect, de Moivre proved a weak version of the central limit theorem. Sometimes his result is called the theorem of de Moivre-Laplace.
Importance: Topic creator, Breakthrough, Influence

Foundations of the Theory of Probability

Author: Andrey Kolmogorov
Publication data: 1933 as "Grundbegriffe der Wahrscheinlichkeitsrechnung"
Online version: http://www.kolmogorov.com/Foundations.html
Description: The foundation of modern probability theory.
Importance: Breakthrough

[edit] Bayesian statistics

An Essay Toward Solving a Problem in the Doctrine of Chances

Author: Thomas Bayes
Publication data: 1763-12-23
Online version: "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, A.M. F.R.S." (pdf). Department of Mathematics, University of York.
Description: In this paper Bayes addresses the problem of using a sequence of identical "trials" to determine the per-trial probability of "success" — the so-called inverse probability problem. It later inspired the theorem that bears his name (Bayes' theorem). See also Pierre Simon de Laplace.
Importance: Topic creator, Breakthrough, Influence

Treatise on Probability

Author: J.M. Keynes
Publication data: London, Macmillan, 1921.
Description: Early statement of probability as a subjective measure of degree of belief. Keynes is better-known for his contributions to Economics, but this erudite book shows him to be a polymath.
Importance:

Probability, Induction and Statistics

Author: Bruno de Finetti
Publication data: New York: John Wiley & Sons, Inc., 1972.
Description A collection of de Finetti's essays on subjective probability.
Importance:

Theory of Probability

Author: Bruno de Finetti
Publication data: Two volumes, A.F.M. Smith and A. Machi (trs.), New York: John Wiley & Sons, Inc., 1974, 1975.
Description The first detailed statement of the operational subjective position, dating from the author's research in the 1920s and 30s.
Importance: A classic.

Operational Subjective Statistical Methods

Author: Frank Lad
Publication data: New York: John Wiley & Sons, Inc., 1996, 484pp.
Description: Comprehensive; subtitled "A Mathematical, Philosophical, and Historical Introduction", but probably not for the general reader.
Importance: A fairly exhaustive statement of the operational position, following on from the earlier work by Bruno de Finetti.

Bayesian Theory

Author: José Bernardo & Smith, AFM
Publication data: New York: John Wiley & Sons, Inc., 2000, 608pp.
Description: Emphasis on viewing statistical inference as a special case of decision theory. Originally published January 1994, this paperback edition is a reprinting with corrections.
Importance: Complete. One of the authors helped translate de Finetti's books into English. The text contains references from 1763 (Bayes' original treatise) to 1993 covering 66 pages of the text!
Author: José Bernardo & Smith, AFM
Publication data: New York: John Wiley & Sons, Inc., 2007, 640pp.
Description: Maximizing expected utility as the only decision criterion. This is the second edition of the above paperback version.
Importance: Updated version. Does not include Markov chain Monte Carlo methods

Introduction to Bayesian Inference and Decision, 2nd Edition

Author: Robert L Winkler
Publication data: Gainesville: Probabilistic Publishing, 2003, 450pp.
Description: Updated version of Winkler's classic textbook which was initially published in 1972.
Importance: Graduate level introduction to Bayesian inference.

[edit] Multivariate Analysis

Multivariate Analysis

Authors: KV Mardia, JT Kent and JM Bibby
Publication data: 1979, Academic Press
Online version: ?
Description: A good non-technical introduction, with many examples.
Importance: Still in use after nearly 30 years!

[edit] Applied statistics

Statistical Methods for Research Workers

Author: R.A. Fisher
Publication data: Edinburgh: Oliver & Boyd, 1925 (1st edition); London: Macmillan, 1970 (15th edition)
Online version: http://psychclassics.yorku.ca/Fisher/Methods/
Description: The original manual for researchers, especially biologists, on how to statistically evaluate numerical data.
Importance: Hugely influential text by the father of modern statistics that remained in print for more than 50 years.[1] Responsible for the widespread use of tests of statistical significance.

Statistical Methods

Author: Snedecor, GW
Publication data: 1937, Collegiate Press
Description: One of the first comprehensive texts on statistical methods. Reissued as Statistical Methods Applied to Experiments in Agriculture and Biology in 1940 and then again as Statistical Methods with Cochran, WG in 1967. A classic text.
Importance: Influence

Principles and Procedures of Statistics with Special Reference to the Biological Sciences.

Authors: Steel, R.G.D, and Torrie, J. H.
Publication data: McGraw Hill (1960) 481 pages
Description: Excellent introductory text for analysis of variance (one-way, multi-way, factorial, split-plot, and unbalanced designs). Also analysis of co-variance, multiple and partial regression and correlation, non-linear regression, and non-parametric analyses. This book was written before computer programmes were available, so it gives the detail needed to make the calculations manually.Cited in over 1,381 publications between 1961 and 1975. [2]
Importance: Influence

Biometry: The Principles and Practices of Statistics in Biological Research

Authors: Robert R. Sokal; F. J. Rohlf
Publication data: 1st ed. W. H. Freemann (1969),; 2nd ed. W. H. Freemann (1981); 3rd ed. Freeman & Co. (1994)
Description: Key textbook on Biometry: the application of statistical methods for descriptive, experimental, and analytical study of biological phenomena.
Importance Cited in over 7,000 publications.[3]

[edit] Statistical learning theory

On the uniform convergence of relative frequencies of events to their probabilities

Authors: V. Vapnik, A. Chervonenkis
Publication data: Theory of Probability and its Applications, 16(2):264--280, 1971
Description: Computational learning theory, VC theory, statistical uniform convergence and the VC dimension.
Importance: Breakthrough, Influence

[edit] Variance component estimation

On the mathematical foundations of theoretical statistics

Author: Fisher, RA
Publication data: 1922, Philosophical Transactions of the Royal Society, London, Series A, volume 222, pages 309-368
Description: First comprehensive treatise of estimation by maximum likelihood.[4]
Importance: Topic creator, Breakthrough, Influence

Estimation of variance and covariance components

Author: Henderson, CR
Publication data: 1953, Biometrics, volume 9, pages 226-252
Description: First description of three methods of estimation of variance components in mixed linear models for unbalanced data. "One of the most frequently cited papers in the scientific literature."[5][6]
Importance: Topic creator, Breakthrough, Influence

Maximum-likelihood estimation for the mixed analysis of variance model

Author: H. O. Hartley and J. N. K. Rao
Publication data: 1967, Biometrika, volume 54, pages 93-108 doi:10.1093/biomet/54.1-2.93
Description: First description of maximum likelihood methods for variance component estimation in mixed models
Importance: Topic creator, Breakthrough, Influence

Recovery of inter-block information when block sizes are unequal

Author: Patterson, HD; Thompson, R
Publication data: 1971, Biometrika, volume 58, pages 545-554 doi:10.1093/biomet/58.3.545
Description: First description of restricted maximum likelihood (REML)
Importance: Topic creator, Breakthrough, Influence

Estimation of Variance and Covariance Components in Linear Models

Author: Rao, CR
Publication data: 1972, Journal of the American Statistical Association, volume 67, pages. 112-115
Description: First description of Minimum Variance Quadratic Unbiased Estimation (MIVQUE) and Minimum Norm Quadratic Unbiased Estimation (MINQUE) for unbalanced data
Importance: Topic creator, Breakthrough, Influence

[edit] Mathematical statistics

Introduction to the Theory of Statistics

Author: Mood, AM
Publication data: 1950, McGraw-Hill, New York
Description: One of the first, and most comprehensive, texts covering theoretical mathematical statistics. Updated in 1963 (with Graybill, FA) and in 1974 (with Graybill, FA and Duane C. Boes, DC)
Importance: Influence

[edit] Survival analysis

Nonparametric estimation from incomplete observations

Author: Kaplan, EL and Meier P
Publication data: 1958, Journal of the American Statistical Association, volume 53, pages 457-481
Description: First description of the now ubiquitous Kaplan-Meier estimator of survival functions from data with censored observations
Importance: Breakthrough, Influence

A generalized Wilcoxon test for comparing arbitrarily singly-censored samples

Author: Gehan, EA
Publication data: 1965 , Biometrika, volume 52, pages 203-223 doi:10.1093/biomet/52.1-2.203
Description: First presentation of the extension of the Wilcoxon rank-sum test to censored data
Importance: Influence

Evaluation of survival data and two new rank order statistics arising in its consideration

Author: Mantel, N
Publication data: 1966, Cancer Chemotherapy Reports, volume 50, pages 163-170. PMID 5910392
Description: Development of the logrank test for censored survival data.[7]
Importance: Topic creator, Breakthrough, Influence

Regression Models and Life Tables

Author: Cox, DR
Publication data: 1972, Journal of the Royal Statistical Society, Series B, volume 34, pages 187-220
Description: Seminal paper introducing semi-parametric proportional hazards models (Cox models) for survival data
Importance: Topic creator, Breakthrough, Influence

The Statistical Analysis of Failure Time Data

Author: Kalbfleisch, JD and Prentice, RL
Publication data: 1980, John Wiley & Sons, New York
Description: First comprehensive text covering the methods of estimation and inference for time to event analyses
Importance: Influence

[edit] Meta analysis

Report on Certain Enteric Fever Inoculation Statistics

Author: Pearson, K
Publication data: 1904, British Medical Journal, volume 2, pages 1243-1246 Full text at PMC: 2355479
Description: Generally considered to be the first synthesis of results from separate studies, although no formal statistical methods for combining results are presented.
Importance: Breakthrough, Influence

The Probability Integral Transformation for Testing Goodness of Fit and Combining Independent Tests of Significance

Author: Pearson, ES
Publication data: 1938 Biometrika, volume 30, pages 134-148 doi:10.1093/biomet/30.1-2.134
Description: One of the first published methods for formally combining results from different experiments
Importance: Breakthrough, Influence

Combining Independent Tests of Significance

Author: Fisher, RA
Publication data: 1948, The American Statistician, volume 2, page 30
Description: One of the first published methods for formally combining results from different experiments
Importance: Breakthrough, Influence

The combination of estimates from different experiments

Author: Cochran, WG
Publication data: 1954, Biometrics, volume 10, page 101-129
Description: A comprehensive treatment of the various methods for formally combining results from different experiments
Importance: Breakthrough, Influence

[edit] Experimental design

The Design of Experiments

Author: Fisher, RA
Publication data: 1935, Oliver and Boyd, Edinburgh
Description: The first comprehensive text on experimental design
Importance: Influence[8][9][10]

Experimental Designs

Author: Cochran, WG and Cox, GM
Publication data: 1950, John Wiley & Sons, New York
Description: One of the first comprehensive texts on experimental design
Importance: Influence

[edit] See also

[edit] References

  1. ^ "Statistical Methods for Research Workers". Encyclopædia Britannica, Inc..
  2. ^ "Steel, Robert GD & Torrie, JH. Principles and procedures of statistics" (PDF). Current Contents/Life Sciences 39: 20. 1977. http://garfield.library.upenn.edu/classics1977/A1977DU23500002.pdf. 
  3. ^ "Sokal RR and Rohlf FI. Biometry: the principles and practice of statistics in biological research" (PDF). Current Contents/Agriculture, Biology, Environment 41: 22. 1982. http://garfield.library.upenn.edu/classics1982/A1982PJ14400001.pdf. 
  4. ^ Aldrich, John (1997). "R.A. Fisher and the making of maximum likelihood 1912-1922". Statistical Science 12 (3): 162–176. doi:10.1214/ss/1030037906. http://projecteuclid.org/Dienst/UI/1.0/Summarize/euclid.ss/1030037906. 
  5. ^ Searle, SR (November 1991). "C.R. Henderson, the statistician; and his contributions to variance components estimation". Journal of dairy science. 74: 4035–4044. ISSN 0022-0302. PMID 1757641. 
  6. ^ "Henderson, CR: Estimation of variance and covariance components" (PDF). Current Contents/Agriculture Biology & Environmental Sciences 24: 10. 1980. http://garfield.library.upenn.edu/classics1980/A1980JU47400001.pdf. 
  7. ^ "Mantel N. Evaluation of survival data and two new rank order statistics arising in its consideration" (PDF). Current Contents/Life Sciences 8: 19. 1983. http://garfield.library.upenn.edu/classics1983/A1983QB30100002.pdf. 
  8. ^ Stanley, J. C. (1966). "The Influence of Fisher's "The Design of Experiments" on Educational Research Thirty Years Later". American Educational Research Journal 3: 223. doi:10.3102/00028312003003223. 
  9. ^ Box, JF (February 1980). "R. A. Fisher and the Design of Experiments, 1922-1926". The American Statistician 34 (1): 1–7. doi:10.2307/2682986. 
  10. ^ Yates, F (June 1964). "Sir Ronald Fisher and the Design of Experiments". Biometrics 20 (2): 307–321. doi:10.2307/2528399. 

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