Selected Statistical Papers of Sir David Cox,9780521849401

Selected Statistical Papers of Sir David Cox

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ISBN13: 9780521849401
ISBN10: 0521849403
Format: Hardcover
Pub. Date: 2006-02-20
Publisher(s): Cambridge University Press
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Summary

Sir David Cox is one of the seminal statistical thinkers of the twentieth and twenty-first centuries. In this selection of his work, Professor Cox reviews his most influential and interesting papers published before 1993. Each paper is the subject of a candid commentary written especially for this collection. In these he describes the context in which the papers arose and their subsequent influence. He also identifies avenues for future research. Organized in two volumes and grouped by theme, the papers and commentaries provide excellent coverage of many of the most significant advances in statistics in recent times.

Table of Contents

Foreword ix
D. J. Hand
A. M. Herzberg
Preface xi
D. R. Cox
Foundations of Statistical Inference
1(92)
Commentaries
3(6)
Original papers
9(84)
Some problems connected with statistical inference
9(16)
The choice between alternative ancillary statistics
25(6)
The role of significance tests
31(16)
Statistical significance tests
47(8)
Foundations of statistical inference: the case for eclecticism
55(14)
Theory and general principle in statistics
69(6)
Role of models in statistical analysis
75(6)
Causality: some statistical aspects
81(12)
Theoretical Statistics
93(252)
Commentaries
95(12)
Original papers
107(238)
Tests of separate families of hypotheses
107(20)
Further results on tests of separate families of hypotheses
127(20)
Fieller's theorem and a generalization
147(6)
A note on the efficiency of least-squares estimates (with D. V. Hinkley)
153(6)
The continuity correction
159(2)
Prediction intervals and empirical Bayes confidence intervals
161(10)
A note on data-splitting for the evaluation of significance levels
171(4)
Partial likelihood
175(8)
A note on partially Bayes inference and the linear model
183(4)
A note on empirical Bayes inference in a finite Poisson process
187(4)
Edgeworth and saddle-point approximations with statistical applications (with O. E. Barndorff-Nielsen)
191(22)
Local ancillarity
213(8)
Some remarks on overdispersion
221(6)
Effective degrees of freedom and the likelihood ratio test
227(8)
The effect of sampling rules on likelihood statistics (with O. E. Barndorff-Nielsen)
235(18)
Two new tests associated with analysis of variance (with A. Azzalini)
253(10)
Barlett adjustments to the likelihood ratio statistic and the distribution of the maximum likelihood estimator (with O. E. Barndorff-Nielsen)
263(14)
Some general aspects of the theory of statistics
277(10)
Invariants and likelihood ratio statistics (with P. McCullagh)
287(12)
Approximations to noncentral distributions (with N. Reid)
299(10)
Parameter orthogonality and approximate conditional inference (with N. Reid)
309(20)
An approximation to maximum likelihood estimates in reduced models (with N. Wermuth)
329(16)
Time Series
345(62)
Commentaries
347(4)
Original papers
351(56)
Prediction by exponentially weighted moving averages and related methods
351(10)
Statistical analysis of time series: some recent developments
361(18)
Long-range dependence: a review
379(20)
Long-range dependence, non-linearity and time irreversibility
399(8)
Stochastic Processes
407(156)
Commentaries
409(8)
Original papers
417(146)
The superposition of several strictly periodic sequences of events (with W. L. Smith)
417(12)
On the superposition of renewal processes (with W. L. Smith)
429(10)
A use of complex probabilities in the theory of stochastic processes
439(8)
The analysis of non Markovian stochastic processes by the inclusion of supplementary variables
447(10)
On a statistical problem of E. A. Milne (with A. M. Herzberg)
457(12)
A low traffic approximation for queues (with P. Bloomfield)
469(10)
A bivariate point process connected with electronic counters (with V. Isham)
479(12)
The virtual waiting-time and related processes (with V. Isham)
491(16)
Spatial modelling of total storm rainfall (with I. Rodriguez-Iturbe and P. S. Eagleson)
507(24)
Some models for rainfall based on stochastic point processes (with I. Rodriguez-Iturbe and V. Isham)
531(20)
A simple spatial-temporal model of rainfall (with V. Isham)
551(12)
Publications of Sir David Cox 563(24)
Acknowledgements 587

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