Topics in Random Polynomials

✍ Scribed by Farahmand, Kambiz

• Publisher: Chapman and Hall/CRC;Longman
• Year: 1998
• Tongue: English
• Leaves: 178
• Series: Chapman & Hall/CRC Pitman research notes in mathematics series 393
• Edition: 1
• Category: Library

✦ Synopsis

Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented in such a fashion that they can be understood and used by readers whose knowledge of probability incorporates little more than basic probability theory and stochastic processes

✦ Table of Contents

Content: Preface. Introduction. Level Crossings of Stochastic Processes. Algebraic Polynomials. Trigonometric Polynomials. Orthogonal Polynomials. Hyperbolic Polynomials. Other Distributions. Complex Coefficients and Complex Roots. Bibliography.

✦ Subjects

Random polynomials;Polynomen;Polynômes orthogonaux