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Field name	Details
Dewey Class	519.2
Title	Renewal Theory for Perturbed Random Walks and Similar Processes ([EBook]) / by Alexander Iksanov.
Author	Iksanov, Alexander
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details	XIV, 250 p. : online resource.
Series	Probability and Its Applications 2297-0371
ISBN	9783319491134
Summary Note	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.:
Contents note	Preface -- Perturbed random walks -- Affine recurrences -- Random processes with immigration -- Application to branching random walk -- Application to the Bernoulli sieve -- Appendix -- Bibliography.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-49113-4
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Iksanov, Alexander . Corporate Authors: SpringerLink (Online service) . Series: Probability and Its Applications . Classification: 519.2 .

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Renewal Theory for Perturbed Random Walks and Similar Processes

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