159 10 Some Theory 10.1 Sufficient Statistics. ĩ Bayesian Methods 157 9.1 Subjective Probability. 8.7 Kolmogorov-Smirnov Goodness of Fit Test. 8.4 Distribution-Free Confidence Intervals for Percentiles 8.5 The Wilcoxon Tests. 7.7 Tests Concerning Regression and CorrelationĨ Nonparametric Methods 8.1 Chi-Square Goodness-of-Fit Tests. 107ħ Tests of Statistical Hypotheses 7.1 Tests about Proportions. 6.5 Confidence Intervals for Proportions. 6.3 Confidence Intervals for the Difference of Two 6.4 Confidence Intervals for Variances. 5.7 Approximations for Discrete Distributions. 5.5 Random Functions Associated with Normal Distributions 5.6 The Central Limit Theorem. 5.4 The Moment-Generating Function Technique. 5.3 Several Independent Random Variables. 5.2 Transformations of Two Random Variables. 86ĥ Distributions of Functions of Random Variables 5.1 Functions of One Random Variable. Ĥ Bivariate Distributions 4.1 Distributions of Two Random Variables 4.2 The Correlation Coefficient. 3.4 The Uniform and Exponential Distributions 3.5 The Gamma and Chi-Square Distributions. 3.3 Random Variables of the Continuous Type. ģ Continuous Distributions 3.1 Continuous-Type Data. 2.4 Bernoulli Trials and the Binomial Distribution 2.5 The Moment-Generating Function. 2.3 The Mean, Variance, and Standard Deviation. Ģ Discrete Distributions 2.1 Random Variables of the Discrete Type. 1.2 Properties of Probability 1.3 Methods of Enumeration 1.4 Conditional Probability 1.5 Independent Events. ISBN-13: 978-6-2 ISBN-10: 6-7Ĭontents Preface 1 Probability 1.1 Basic Concepts. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Publishing as Pearson Prentice Hall, Upper Saddle River, NJ 07458. Reproduced by Pearson Prentice Hall from electronic files supplied by the author.
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