Introduction to Probability and Statistics, Second Edition,

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CRC Press, Apr 20, 1993 - Mathematics - 560 pages
Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.;A primary text for a year-long undergraduate course in statistics (but easily adapted for a one-semester course in probability only), Introduction to Probability and Statistics is for undergraduate students in a wide range of disciplines-statistics, probability, mathematics, social science, economics, engineering, agriculture, biometry, and education.
 

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Contents

INTRODUCTION 1
1
GENERAL CONCEPTS OF PROBABILITY
9
RANDOM VARIABLES PROBABILITY
55
Variable
75
THEOREMS
136
CONCEPTS OF STATISTICS
169
UNIVARIATE DISTRIBUTIONS
192
MULTIVARIATE DISTRIBUTIONS
211
LARGESAMPLE METHODS
370
STATISTICAL DECISION THEORY
381
SEQUENTIAL ANALYSIS
401
NONPARAMETRIC METHODS
418
GENERAL LINEAR HYPOTHESIS AND ANALYSIS
432
SOME APPLICATIONS OF ANALYSIS OF VARIANCE
464
APPENDIX A VECTORS AND MATRICES
475
APPENDIX B STATISTICAL TABLES
518

ORDER STATISTICS AND RELATED DISTRIBUTIONS
246
PARAMETRIC POINT
259
TESTING OF STATISTICAL HYPOTHESES
313

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