文档介绍：INTRODUCTION 'TO
PROBABILITY AND
STATISTICS
INTRODUCTION TO
PROBABILITY AND
STATISTICS
FROM A BAYESIAN VIEWPOINT
PART 2
INFERENCE
BY
D. V. LINDLEY
Head of the Department of Statistics
University College London
CAMBRIDGE
AT THE UNIVERSITY PRESS
1970
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, Delhi
Cambridge University Press
The Edinburgh Building, Cambridge C132 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521055635
© Cambridge University Press 1965
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 1965
Reprinted 1970
Re-issued in this digitally printed version 2008
A catalogue record for this publication is available from the British Library
ISBN 978-0-521-05563-5 hardback
ISBN 978-0-521-29866-7 paperback
To
M. P. MESHENBERG
in gratitude
CONTENTS
Preface page ix
5Inferences for normal distributions
's theorem and the normal distribution 1
prior knowledge and interval estimates
for the normal mean 13
estimates for the normal variance 26
estimates for the normal mean and
variance 36
46
tests and the likelihood principle 58
Exercises 71
6Inferences for several normal distributions
of two means 76
of two variances 86
of two means 91
of several means 95
of variance:between and within
samples 104
of observations 112
Exercises 122
7 Approximate methods
method of maximum likelihood 128
sequences of trials 141
Poisson distribution 153
-of-fit tests 157
viii C