Pseudo-Regularly Varying Functions and Generalized Renewal Processes

By Jeff Prosise

Preface.- Equivalence of limit theorems for sums of random variables and renewal processes.- Almost sure convergence of renewal processes.- Generalizations of regularly varying functions.- Properties of absolutely continuous functions.- Non-degenerate groups of regular points.- Karamata's theorem for integrals.- Asymptotically quasi-inverse functions.- Generalized renewal processes.- Asymptotic behavior of solutions of stochastic differential equations.- Asymptotics for renewal processes constructed from multi-indexed random walks.- Spitzer series and regularly varying functions. - Appendix: Some Auxiliary Results.- References.- Index.

• Format: Hardcover
• Language: English
• ISBN: 3319995367
• ISBN13: 9783319995366
• Release Date: October 2018
• Publisher: Springer
• Length: 482 Pages
• Weight: 1.94 lbs.
• Dimensions: 1.1" x 6.1" x 9.2"