Contents
Page List
![MONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY General Editors DR Cox - photo 1](/uploads/posts/book/428763/images/cover.jpg)
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 6000 Broken Sound - photo 2](/uploads/posts/book/428763/images/pub.jpg)
First published 1987 by CRC Press
Taylor & Francis Group
6000 Broken Sound Parkway NW, Suite 300
Boca Raton, FL 33487-2742
Reissued 2018 by CRC Press
1987 by P. McCullagh
CRC Press is an imprint of Taylor & Francis Group, an Informa business
No claim to original U.S. Government works
This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint.
Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers.
Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe.
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
Publishers Note
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.
Disclaimer
The publisher has made every effort to trace copyright holders and welcomes correspondence from those they have been unable to contact.
ISBN 13: 978-1-315-89801-8 (hbk)
ISBN 13: 978-1-351-07711-8 (ebk)
Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the
CRC Press Web site at http://www.crcpress.com