PRINCIPLES OF STATISTICAL INFERENCE

Preface 1. Preliminaries 2. Some concepts and simple applications 3. Significance tests 4. More complicated situations 5. Some interpretational issues 6. Asymptotic theory 7. Further aspects of maximum likelihood 8. Additional objectives 9. Randomization-based analysis Appendix A. A brief history Appendix B. A personal view References Author index Index.

[1]  David R. Cox,et al.  Further Results on Tests of Separate Families of Hypotheses , 1962 .

[2]  Ernst Wit,et al.  Local model uncertainty and incomplete-data bias , 2005 .

[3]  Thomas J. DiCiccio,et al.  Conditional properties of unconditional parametric bootstrap procedures for inference in exponential families , 2008 .

[4]  D. Hand A History of Probability and Statistics and Their Applications before 1750 , 1990 .

[5]  Donald Fraser,et al.  The fiducial method and invariance , 1961 .

[6]  L. M. M.-T. Theory of Probability , 1929, Nature.

[7]  B. Welch,et al.  On Confidence Limits and Sufficiency, with Particular Reference to Parameters of Location , 1939 .

[8]  B. Efron Bootstrap Methods: Another Look at the Jackknife , 1979 .

[9]  José M. Bernardo Comment on article by Gelman , 2008 .

[10]  Patty Solomon,et al.  Components of Variance , 2002 .

[11]  David R. Cox,et al.  Regression models and life tables (with discussion , 1972 .

[12]  J. Nelder,et al.  Double hierarchical generalized linear models , 2006 .

[13]  Halbert White,et al.  Estimation, inference, and specification analysis , 1996 .

[14]  S. Zeger,et al.  Longitudinal data analysis using generalized linear models , 1986 .

[15]  T. Caliński,et al.  Linear Statistical Inference , 1985 .

[16]  B. L. Welch,et al.  On Formulae for Confidence Points Based on Integrals of Weighted Likelihoods , 1963 .

[17]  G. K. Robinson Conditional Properties of Statistical Procedures , 1979 .

[18]  Gant SOME PROBLEMS IN STATISTICAL INFERENCE , 1958 .

[19]  Eugene Seneta Statisticians of the Centuries , 2007 .

[20]  D. Cox,et al.  The Theory of the Design of Experiments , 2000 .

[21]  L. Stein,et al.  Probability and the Weighing of Evidence , 1950 .

[22]  F. Ramsey The Foundations of Mathematics and Other Logical Essays , 2001 .

[23]  M. Bartlett Properties of Sufficiency and Statistical Tests , 1992 .

[24]  T. E. Sterne,et al.  Inverse Probability , 1930, Nature.

[25]  M. S. Bartlett,et al.  Statistical methods and scientific inference. , 1957 .

[26]  R. Fisher Statistical methods for research workers , 1927, Protoplasma.

[27]  N. Breslow Design and analysis of case-control studies. , 1982, Annual review of public health.

[28]  R. Butler SADDLEPOINT APPROXIMATIONS WITH APPLICATIONS. , 2007 .

[29]  Ronald R. Yager,et al.  Classic Works of the Dempster-Shafer Theory of Belief Functions , 2010, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[30]  V. Vieland,et al.  Statistical Evidence: A Likelihood Paradigm , 1998 .

[31]  Stephen E. Fienberg,et al.  Testing Statistical Hypotheses , 2005 .

[32]  S. D. Silvey,et al.  The Lagrangian Multiplier Test , 1959 .

[33]  P. Walley Statistical Reasoning with Imprecise Probabilities , 1990 .

[34]  Donald A. Pierce,et al.  Higher-order asymptotics and the likelihood principle: One-parameter models , 1994 .

[35]  David R. Cox The analysis of binary data , 1970 .

[36]  D. Cox Some problems connected with statistical inference , 1958 .

[37]  E. L. Lehmann,et al.  Theory of point estimation , 1950 .

[38]  D. Cox Two further applications of a model for binary regression , 1958 .

[39]  D. Fraser,et al.  Inference and Linear Models. , 1981 .

[40]  D. Fraser The Structure of Inference. , 1969 .

[41]  Nancy Reid,et al.  The Roles of Conditioning in Inference , 1995 .

[42]  J. Whitehead,et al.  A FORTRAN program for the design and analysis of sequential clinical trials. , 1983, Computers and biomedical research, an international journal.

[43]  David Lindley,et al.  Fiducial Distributions and Bayes' Theorem , 1958 .

[44]  Thomas J. DiCiccio,et al.  Approximations of marginal tail probabilities and inference for scalar parameters , 1990 .

[45]  D. Cox Tests of Separate Families of Hypotheses , 1961 .

[46]  H. Simon,et al.  Rational choice and the structure of the environment. , 1956, Psychological review.

[47]  M. Stone,et al.  The role of significance testing: some data with a message , 1969 .

[48]  D. Cox,et al.  Inference and Asymptotics , 1994 .

[49]  Vic Barnett,et al.  Comparative Statistical Inference , 1974, Technometrics.

[50]  G. Casella,et al.  Statistical Inference , 2003, Encyclopedia of Social Network Analysis and Mining.

[51]  Thomas J. DiCiccio,et al.  Simple and accurate one-sided inference from signed roots of likelihood ratios , 2001 .

[52]  Judith Rousseau,et al.  Studentization and deriving accurate p-values , 2008 .

[53]  J. Berger The case for objective Bayesian analysis , 2006 .

[54]  Richard A. Davis,et al.  Time Series: Theory and Methods , 2013 .

[55]  P. McCullagh Quasi-Likelihood Functions , 1983 .

[56]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[57]  Deborah G. Mayo,et al.  Error and the Growth of Experimental Knowledge , 1996 .

[58]  Valen E. Johnson,et al.  Bayes factors based on test statistics , 2005 .

[59]  M. Bartlett,et al.  APPROXIMATE CONFIDENCE INTERVALS , 1953 .

[60]  N. Hjort,et al.  Confidence and Likelihood * , 2002 .

[61]  Donald B. Rubin,et al.  Bayesian Inference for Causal Effects: The Role of Randomization , 1978 .

[62]  David S. Williams Weighing the odds : a course in probability and statistics , 2001 .

[63]  N. Reid,et al.  Likelihood , 1993 .

[64]  R. W. Wedderburn Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method , 1974 .

[65]  M. Murray,et al.  Differential Geometry and Statistics , 1993 .

[66]  John Aitchison,et al.  Statistical Prediction Analysis , 1975 .

[67]  R. Pyke,et al.  Logistic disease incidence models and case-control studies , 1979 .

[68]  F. J. Anscombe Large-sample theory of sequential estimation , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.

[69]  A. J. Collins,et al.  Introduction To Multivariate Analysis , 1981 .

[70]  John D. Kalbfleisch,et al.  Sufficiency and conditionality , 1975 .

[71]  A. Naderi Minimal sufficient statistics emerge from the observed likelihood functions , 2006 .

[72]  F. Yates Design and Analysis of Factorial Experiments , 1958 .

[73]  Bruno de Finetti,et al.  Probability, induction and statistics , 1972 .

[74]  Richard L. Smith,et al.  Essentials of statistical inference , 2005 .

[75]  H. W. Peers On Confidence Points and Bayesian Probability Points in the Case of Several Parameters , 1965 .

[76]  Michael Goldstein,et al.  Subjective Bayesian Analysis: Principles and Practice , 2006 .

[77]  G. Gregory,et al.  Probability, Induction and Statistics , 1974 .

[78]  A. Hald A history of mathematical statistics from 1750 to 1930 , 1998 .

[79]  Adrian Baddeley,et al.  Stereology for Statisticians , 2004 .

[80]  J. Besag What is a statistical model? Discussion , 2002 .

[81]  M. Kendall Theoretical Statistics , 1956, Nature.

[82]  Nancy Reid,et al.  Strong matching of frequentist and Bayesian parametric inference , 2002 .

[83]  Donald A. Pierce,et al.  Practical Use of Higher Order Asymptotics for Multiparameter Exponential Families , 1992 .

[84]  Alan Kimber Principles of Statistical Inference , 2008 .