Document Type
Article
Publication Date
2007
Publication Title
Applied Mathematical Sciences
ISSN
1312-885X
Abstract
In this note, inequalities and bounds for weighted renewal-type integral equations are presented. Some upper and lower bounds for the weighted renewal-type integral equations with monotone weight functions are derived. Some upper and lower bounds for the weighted renewal-type equations with monotone weight functions are derived. Bounds for the difference between two weighted renewal functions as well between the parent and weighted renewal functions are obtained in terms of the parent renewal reliability functions and their first and second moments. Relations for renewal-type integrals of the ruin probability are presented. Some inequalities, bounds and convergence results are also established.
Recommended Citation
Oluyede, Broderick O..
2007.
"Bounds and Comparisons for Weighted Renewal-Type Integral Equations."
Applied Mathematical Sciences, 1 (36): 1759-1771.
source: https://pdfs.semanticscholar.org/8c35/f1e65384f7ec357e17bca111c080e069841b.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/617
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Article obtained from the Applied Mathematical Sciences.