A strong renewal theorem for generalized renewal functions in the infinite mean case

Anderson, Kevin K. ; Athreya, Krishna B. (1988) A strong renewal theorem for generalized renewal functions in the infinite mean case Probability Theory and Related Fields, 77 (4). pp. 471-479. ISSN 0178-8051

Full text not available from this repository.

Official URL: http://www.springerlink.com/content/ln363lv1786454...

Related URL: http://dx.doi.org/10.1007/BF00959611

Abstract

Let F(x) be a nonarithmetic c.d.f. on (0, ∞) such that 1 -F(x)=x. α L(x), where L(x) is slowly varying and 0 ≤ α ≤ 1. Let a(x) be regularly varying with exponent β≥1. A strong renewal theorem (of Blackwell type) for generalized renewal functions of the form G(t) ≡ ∑ n=0a(n)Fn(t) is proved here, thus extending the recent work of Embrechts, Maejima and Omey [1] and that of Erickson [4].

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:1157
Deposited On:05 Oct 2010 12:51
Last Modified:12 May 2011 10:02

Repository Staff Only: item control page