P. McCullagh - Tensor Methods in Statistics: Monographs on Statistics and Applied Probability

MONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY

General Editors

D.R. Cox, D.V. Hinkley, N. Reid, D.B. Rubin and B.W. Silverman

1 Stochastic Population Models in Ecology and Epidemiology M.S. Bartlett (1960)

2 Queues D.R. Cox and W.L. Smith (1961)

3 Monte Carlo Methods J.M. Hammersley and D.C. Handscomb (1964)

4 The Statistical Analysis of Series of Events D.R. Cox and P.A.W. Lewis (1966)

5 Population Genetics W.J. Ewens (1969)

6 Probability, Statistics and Time M.S. Bartlett (1975)

7 Statistical Inference S.D. Silvey (1975)

8 The Analysis of Contingency Tables B.S. Everitt (1977)

9 Multivariate Analysis in Behavioural Research A.E. Maxwell (1977)

10 Stochastic Abundance Models S. Engen (1978)

11 Some Basic Theory for Statistical Inference E.J.G. Pitman (1978)

12 Point Processes D.R. Cox and V. Isham (1980)

13 Identification of Outliers D.M. Hawkins (1980)

14 Optimal Design S.D. Silvey (1980)

15 Finite Mixture Distributions B.S. Everitt and D.J. Hand (1981)

16 Classification A.D. Gordon (1981)

17 Distribution-free Statistical Methods J.S. Maritz (1981)

18 Residuals and Influence in Regression R.D. Cook and S. Weisberg (1982)

19 Applications of Queueing Theory G.F. Newell (1982)

20 Risk Theory, 3rd edition R.E. Beard, T. Pentikainen and E. Pesonen (1984)

21 Analysis of Survival Data D.R. Cox and D. Oakes (1984)

22 An Introduction to Latent Variable Models B.S. Everitt (1984)

23 Bandit Problems D.A. Berry and B. Fristedt (1985)

24 Stochastic Modelling and Control M.H.A. Davis and R. Vinter (1985)

25 The Statistical Analysis of Compositional Data J. Aitchison (1986)

26 Density Estimation for Statistical and Data Analysis B.W. Silverman (1986)

27 Regression Analysis with Applications G.B. Wetherill (1986)

28 Sequential Methods in Statistics, 3rd edition G.B. Wetherill (1986)

29 Tensor Methods in Statistics P. McCullagh (1987)

30 Transformation and Weighting in Regression R.J. Carroll and D. Ruppert (1988)

31 Asymptotic Techniques for use in Statistics O.E. Barndorff-Nielsen and D. R. Cox (1989)

32 Analysis of Binary Data, 2nd edition D.R. Cox and E.J. Snell (1989)

33 Analysis of Infectious Disease Data N.G. Becker (1989)

34 Design and Analysis of Cross-Over Trials B. Jones andM.G. Kenward (1989)

35 Empirical Bayes Method, 2nd edition J.S. Maritz and T. Lwin (1989)

36 Symmetric Multivariate and Related Distributions K.-T Fang, S. Kotz and K. Ng (1989)

37 Generalized Linear Models, 2nd edition P. McCullagh and J. A. Nelder (1989)

38 Cyclic Designs J.A. John (1987)

39 Analog Estimation Methods in Econometrics C.F. Manski (1988)

40 Subset Selection in Regression A.J. Miller (1990)

41 Analysis of Repeated Measures M. Crowder and D.J. Hand (1990)

42 Statistical Reasoning with Imprecise Probabilities P. Walley (1990)

43 Generalized Additive Models T.J. Hastie and R.J. Tibshirani (1990)

44 Inspection Errors for Attributes in Quality Control N.L. Johnson, S. Kotz and X. Wu (1991)

45 The Analysis of Contingency Tables, 2nd edition B.S. Everitt (1992)

46 The Analysis of Quantal Response Data B.J.T. Morgan (1992)

47 Longitudinal Data with Serial Correlation: A State-space Approach R.H. Jones (1993)

48 Differential Geometry and Statistics Michael K. Murrayand John W. Rice (1993)

49 Markov Models and Optimization M.H.A. Davis (1993)

50 Networks and Chaos - Statistical and Probalistic Aspects O.E. Barndorff-Nielson, J.H. Jensen and W.S. Kendall (1993)

51 Number Theoretic Methods in Statistics K.-T. Fang and Y. Wang (1993)

52 Inference and Asymptotics D.R. Cox and O.E. Barndorff-Nielson (1994)

53 Practical Risk Theory for Actuaries C.D. Daykin, T. Pentikdinen and M. Pesonen (1993)

54 Statistical Concepts and Applications in Medicine J. Aitchison and I.J. Launder (1994)

55 Predictive Inference S. Geisser (1993)

56 Model Free Curve Estimation M. Tartar and M.Lock (1994)

57 An Introduction to the Bootstrap B. Efron and R. Tibshirani (1993)

58 Nonparametric Regression and Generalized Linear Models P.J. Green and B. W. Silverman (1994)

59 Multidimensional Scaling T. Cox and M. Cox (1994)

(Full details concerning this series are available from the publisher)

Tensor Methods in Statistics

PETER McCULLAGH

The University of Chicago

Department of Statistics

Chicago, USA

First published 1987 by CRC Press

Taylor & Francis Group

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Boca Raton, FL 33487-2742

Reissued 2018 by CRC Press

1987 by P. McCullagh

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Library of Congress Cataloging-in-Publication Data

McCullagh. P. (Peter), 1952

Tensor methods in statistics.

(Monographs on statistics and applied probability)

Bibliography : p

Includes indexes.

1. Calculus of tensors. 2. Mathematical statistics.

I. Title. II. Series.

QA433.M325 1987 519.5 87-13826

ISBN 0-412-27480-9

A Library of Congress record exists under LC control number: 87013826

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The publisher has gone to great lengths to ensure the quality of this reprint but points out that some imperfections in the original copies may be apparent.

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ISBN 13: 978-1-315-89801-8 (hbk)

ISBN 13: 978-1-351-07711-8 (ebk)

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