Eryilmaz, SerkanEryılmaz, SerkanIndustrial Engineering2024-07-052024-07-05201660026-13351435-926X10.1007/s00184-015-0558-42-s2.0-84961201933https://doi.org/10.1007/s00184-015-0558-4https://hdl.handle.net/20.500.14411/467Eryilmaz, Serkan/0000-0002-2108-1781Let be a {X-t, t >= 1} sequence of random variables with two possible values as either "1" (success) or "0" (failure). Define an independent sequence of random variables {D-i, i >= 1}. The random variable is associated with the success when it occupies the ith place in a run of successes. We define the weight of a success run as the sum of the D values corresponding to the successes in the run. Define the following two random variables: is the number of trials until the weight of a single success run exceeds or equals k, and is the number of trials until the weight of each of r success runs equals or exceeds k in {X-t, t >= 1}. Distributional properties of the waiting time random variables and are studied and illustrative examples are presented.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]ArticleQ4793357368WOS:000372303900006