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作者 Iksanov, Alexander, author
書名 Renewal theory for perturbed random walks and similar processes / by Alexander Iksanov
出版項 Cham : Springer International Publishing : Imprint: Birkhauser, 2016
國際標準書號 9783319491134 (electronic bk.)
9783319491110 (paper)
國際標準號碼 10.1007/978-3-319-49113-4 doi
book jacket
說明 1 online resource (xiv, 250 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Probability and its applications, 2297-0371
Probability and its applications
附註 Preface -- Perturbed random walks -- Affine recurrences -- Random processes with immigration -- Application to branching random walk -- Application to the Bernoulli sieve -- Appendix -- Bibliography
This book offers a detailed review of perturbed random walks, perpetuities, and random processes with immigration. Being of major importance in modern probability theory, both theoretical and applied, these objects have been used to model various phenomena in the natural sciences as well as in insurance and finance. The book also presents the many significant results and efficient techniques and methods that have been worked out in the last decade. The first chapter is devoted to perturbed random walks and discusses their asymptotic behavior and various functionals pertaining to them, including supremum and first-passage time. The second chapter examines perpetuities, presenting results on continuity of their distributions and the existence of moments, as well as weak convergence of divergent perpetuities. Focusing on random processes with immigration, the third chapter investigates the existence of moments, describes long-time behavior and discusses limit theorems, both with and without scaling. Chapters four and five address branching random walks and the Bernoulli sieve, respectively, and their connection to the results of the previous chapters. With many motivating examples, this book appeals to both theoretical and applied probabilists
Host Item Springer eBooks
主題 Random walks (Mathematics)
Perturbation (Mathematics)
Mathematics
Probability Theory and Stochastic Processes
Alt Author SpringerLink (Online service)
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