
- 708 pages
- English
- PDF
- Available on iOS & Android
Mathematical Theory of Probability and Statistics
About this book
Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics
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Information
Table of contents
- Front Cover
- Mathematical Theory of Probability and Statistics
- Copyright Page
- Table of Contents
- PREFACE
- Selected Reference Books
- CHAPTER I. FUNDAMENTALS
- CHAPTER II. GENERAL LABEL SPACE
- CHAPTER III. BASIC PROPERTIES OF DISTRIBUTIONS
- CHAPTER IV. EXAMPLES OF COMBINED OPERATIONS
- CHAPTER V. SUMMATION OF CHANCE VARIABLES CHARACTERISTIC FUNCTION
- CHAPTER VI. ASYMPTOTIC DISTRIBUTION OF THE SUM OF CHANCE VARIABLES
- CHAPTER VII. PROBABILITY INFERENCE. BAYES' METHOD
- CHAPTER VIII. MORE ON DISTRIBUTIONS
- CHAPTER IX. ANALYSIS OF STATISTICAL DATA
- CHAPTER X. PROBLEM OF INFERENCE
- CHAPTER XI. MULTIVARIATE STATISTICS. CORRELATION
- CHAPTER XII. INTRODUCTION TO THE THEORY OF STATISTICAL FUNCTIONS
- Selected Reference Books
- TABLES I
- INDEX