Orthogonal Polynomials in the Spectral Analysis of Markov Processes: Birth-Death Models and Diffusion (Encyclopedia of Mathematics and its Applications, Series Number 181)
Manuel Domínguez de la Iglesia
In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising connection between orthogonal polynomials and stochastic processes. This book gives a comprehensive analysis of the spectral representation of the most important one-dimensional Markov processes, namely discrete-time birth-death chains, birth-death processes and diffusion processes. It brings together the main results from the extensive literature on the topic with detailed examples and applications. Also featuring an introduction to the basic theory of orthogonal polynomials and a selection of exercises at the end of each chapter, it is suitable for graduate students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn about applications of their work to probability.
عام:
2021
الإصدار:
1
الناشر:
Cambridge University Press
اللغة:
english
الصفحات:
390
ISBN 10:
1316516555
ISBN 13:
9781316516553
ملف:
PDF, 2.55 MB
IPFS:
,
english, 2021
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مميزات أخري 
أكثر المصطلحات والعبارات المستخدمة
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