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Asymptotics for solutions of a defective renewal equation with applications
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Yin, Chuancun, Zhao, Xianghua
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Wang, Kai-Yong, Wang, Yue-Bao
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On asymptotic equivalence among the solutions of some defective renewal equations
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Gao, Qingwu +3 more
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Asymptotic results for heavy-tailed distributions using defective renewal equations
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Georgios Psarrakos
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Defective renewal equations arise in many different areas of application of applied probability. For example, the equilibrium waiting time distribution in many queueing models and the number of offspring distribution in branching processes satisfy certain defective renewal equations. For a detailed discussion of these applications, see Feller (1971) or
Gordon E. Willmot, X. Sheldon Lin
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In this paper an asymptotic expansion for the defective and excessive renewal equations, playing an important role in a number of applied probabilistic settings, are considered. The case of defective renewal equations as the defective parameter is close to one, so-called ``defectively perturbed renewal equations'', is analysed.
Blanchet, J., Zwart, A.P.
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Chadjiconstantinidis, Stathis +1 more
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