ABSTRACT

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.

chapter 1|8 pages

Introduction

chapter 2|46 pages

General Concepts of Probability

chapter 4|33 pages

Stochastic Convergence and Limit Theorems

chapter 5|23 pages

Concepts of Statistics

chapter 6|19 pages

Univariate Distributions

chapter 7|35 pages

Multivariate Distributions

chapter 8|13 pages

Order Statistics and Related Distributions

chapter 10|57 pages

Testing of Statistical Hypotheses

chapter 11|11 pages

Large-Sample Methods

chapter 12|20 pages

Statistical Decision Theory

chapter 13|17 pages

Sequential Analysis

chapter 14|14 pages

Nonparametric Methods

chapter 16|66 pages

Some Applications of Analysis of Variance