Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Random Polynomials focuses on a comprehensive treatment of random algebraic, orthogonal, and trigonometric polynomials. The publication first offers information on the basic definitions and properties of random algebraic polynomials and random matrices. Discussions focus on Newton's formula for random algebraic polynomials, random characteristic polynomials, measurability of the zeros of a random algebraic polynomial, and random power series and random algebraic polynomials. The text then elaborates on the number and expected number of real zeros of random algebraic polynomials; number and expected number of real zeros of other random polynomials; and variance of the number of real zeros of random algebraic polynomials. Topics include the expected number of real zeros of random orthogonal polynomials and the number and expected number of real zeros of trigonometric polynomials. The book takes a look at convergence and limit theorems for random polynomials and distribution of the zeros of random algebraic polynomials, including limit theorems for random algebraic polynomials and random companion matrices and distribution of the zeros of random algebraic polynomials. The publication is a dependable reference for probabilists, statisticians, physicists, engineers, and economists.

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Yes, you can access Random Polynomials by A. T. Bharucha-Reid,M. Sambandham, Z. W. Brinbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Academic Press

Year

2014

ISBN

9781483191461

Topic

Mathematics

Subtopic

Probability & Statistics

Index

Mathematics

Front Cover
Random Polynomials
Copyright Page
Table of Contents
Dedication
Preface
Acknowledgments
CHAPTER 1. Introduction
CHAPTER 2. Random Algebraic Polynomials: Basic Definitions and Properties
CHAPTER 3. Random Matrices and Random Algebraic Polynomials
CHAPTER 4. The Number and Expected Number of Real Zeros of Random Algebraic Polynomials
CHAPTER 5. The Number and Expected Number of Real Zeros of Other Random Polynomials
CHAPTER 6. The Variance of the Number of Real Zeros of Random Algebraic Polynomials
CHAPTER 7. Distribution of the Zeros of Random Algebraic Polynomials
CHAPTER 8. Convergence and Limit Theorems for Random Polynomials
APPENDIX: Fortran Programs
Index