A minimal uniform renewal theorem and transition phenomena for a nonhomogeneous perturbation of the renewal equation

DOI10.1090/S0094-9000-2011-00825-3zbMath1232.60054OpenAlexW1969079446MaRDI QIDQ3114545

N. V. Kartashov

Publication date: 19 February 2012

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2011-00825-3

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Cites Work

• An extension to the renewal theorem and an application to risk theory
• Probability of ruin with variable premium rate
• On the probability of ruin in the presence of a linear dividend barrier
• The Probability of Ultimate Ruin with a Variable Premium Loading—a Special Case
• Inhomogeneous perturbations of a renewal equation and the Cramér–Lundberg theorem for a risk process with variable premium rates
• Boundedness, limits, and stability of solutions of a perturbation of a nonhomogeneous renewal equation on a semiaxis
• On Absolutely Continuous Components and Renewal Theory
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