Selected Statistical Papers of Sir David Cox: Volume 2, Foundations of Statistical Inference, Theoretical Statistics, Time Series and Stochastic Processes

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Cambridge University Press, 2005 - Business & Economics - 590 pages
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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.
 

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Contents

Commentaries
3
Original papers
9
Original papers
13
F2 The choice between alternative ancillary statistics
25
F3 The role of significance tests
31
D3 The use of a concomitant variable in selecting an experimental design
35
D4 The use of control observations as an alternative to incomplete block designs
45
F4 Statistical significance tests
47
Effective degrees of freedom and the likelihood ratio test
227
The effect of sampling rules on likelihood statistics
235
Two new tests associated with analysis of variance with A Azzalini
253
Th17 Barlett adjustments to the likelihood ratio statistic and the distribution of
263
Some general aspects of the theory of statistics
277
Th19 Invariants and likelihood ratio statistics with P McCullagh
287
Th20 Approximations to noncentral distributions with N Reid
299
Th21 Parameter orthogonality and approximate conditional inference
307

D5 Some systematic supersaturated designs with K H V Booth
53
the case for eclecticism
55
some personal views Design
61
F6 Theory and general principle in statistics
69
D7 A note on design when response has an exponential family distribution
71
F7 Role of models in statistical analysis
75
D9 Some sampling problems in technology
80
some statistical aspects
81
Commentaries
95
D10 On sampling and the estimation of rare errors with E J Snell
103
Original papers
107
Statistical Methods
111
Th2 Further results on tests of separate families of hypotheses
127
Th3 Fiellers theorem and a generalization
147
Th4 A note on the efficiency of leastsquares estimates
153
Thi The continuity correction
159
Th7 A note on datasplitting for the evaluation of significance levels
171
Th9 A note on partially Bayes inference and the linear model
183
Th11 Edgeworth and saddlepoint approximations with statistical
191
Th12 Local ancillarity
213
Th22 An approximation to maximum likelihood estimates in reduced models
329
Commentaries
347
some recent developments
361
a review
379
TS4 Longrange dependence nonlinearity and time irreversibility
399
Commentaries
409
Original papers
417
SP2 On the superposition of renewal processes with W L Smith
429
SP3 A use of complex probabilities in the theory of stochastic processes
439
SP4 The analysis of nonMarkovian stochastic processes by the inclusion
454
SP6 A low traffic approximation for queues with P Bloomfield
469
SP7 A bivariate point process connected with electronic counters
479
SP8 The virtual waitingtime and related processes with V Isham
491
Applications
511
SP9 Spatial modelling of total storm rainfall with I RodriguezIturbe
514
types of failure 243
568
Acknowledgements
587
Acknowledgements
589
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Page 566 - The effect of skewness of the frequency distribution on the relationship between required test factors and strength variation. Selected Government Research Reports 6, 39-49. Cox, DR

About the author (2005)

A. M. Herzberg is editor of Short Book Reviews, a publication of the International Statistical Institute.

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