Eryilmaz, SerkanIndustrial Engineering2024-07-052024-07-0520141387-58411573-771310.1007/s11009-012-9303-x2-s2.0-84894660116https://doi.org/10.1007/s11009-012-9303-xhttps://hdl.handle.net/20.500.14411/214Eryilmaz, Serkan/0000-0002-2108-1781This paper is concerned with the distribution of runs associated with claim indicators in a compound binomial risk model. We study the total number of claims, the longest run without claim, the shortest run without claim and the total number of runs up to a fixed period before the occurrence of a ruin. These quantities are potentially useful for an investment strategy of an insurance company and for understanding the behavior of a specific portfolio over time. We obtain recursive equations for the exact distributions of these random variables. We also illustrate the theoretical results with numerical computations.eninfo:eu-repo/semantics/closedAccessCompound binomial modelRecurrence formulaLongest runShortest runArticleQ4Q3161149159WOS:0003320904000075