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Renewal theory for perturbed random walks and similar processes[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.282
書名/作者:	Renewal theory for perturbed random walks and similar processes/ by Alexander Iksanov.
作者:	Iksanov, Alexander.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xiv, 250 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Random walks (Mathematics)
標題:	Perturbation (Mathematics)
標題:	Mathematics.
標題:	Probability Theory and Stochastic Processes.
ISBN:	9783319491134
ISBN:	9783319491110
內容註:	Preface -- Perturbed random walks -- Affine recurrences -- Random processes with immigration -- Application to branching random walk -- Application to the Bernoulli sieve -- Appendix -- Bibliography.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-49113-4

Renewal theory for perturbed random walks and similar processes[electronic resource] /
Iksanov, Alexander.

Renewal theory for perturbed random walks and similar processes[electronic resource] /by Alexander Iksanov. - Cham :Springer International Publishing :2016. - xiv, 250 p. :ill., digital ;24 cm. - Probability and its applications,2297-0371. - Probability and its applications..

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.

ISBN: 9783319491134

Standard No.: 10.1007/978-3-319-49113-4doiSubjects--Topical Terms:

404365
Random walks (Mathematics)

LC Class. No.: QA274.73

Dewey Class. No.: 519.282

Renewal theory for perturbed random walks and similar processes[electronic resource] /
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