Asymptotics for the Solutions to Defective Renewal Equations-Reference-Cited by-同舟云学术

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Asymptotics for the Solutions to Defective Renewal Equations

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Wang Kaiyong¹²,Chen Yang¹,Tan Zhongquan³^ORCID

Affiliation:

1. School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China

2. Department of Mathematics, Southeast University, Nanjing 210096, China

3. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China

Abstract

This paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy-tailed and light-tailed cases, respectively.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/732735.pdf

Reference23 articles.

1. Applications of Mathematics,2003

2. Subexponentiality and infinite divisibility

3. On convolution tails

4. Convolutions of Distributions With Exponential and Subexponential Tails

5. A Probabilistic Look at the Wiener--Hopf Equation

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