Browsing by Author "Parsi, Safar"

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Citation - WoS: 21
Citation - Scopus: 27
Expected Values of the Number of Failures for Two Populations Under Joint Type-Ii Progressive Censoring
(Elsevier Science Bv, 2009-08) Parsi, Safar; Bairamov Ismihan
The model in which joint Type-II progressive censoring is implemented on two samples from different populations in a combined manner is considered and the probabilities of failures are discussed. This model may have relevance for practical applications, when an experimenter need to know the expected values of the number of failures for each population. This knowledge plays an important role in the selection of appropriate sampling plans and the construction of efficient estimators for parameters. The formula allowing numerical computation of the expected value of the number of failures for each of the two populations is given. Also, a detailed numerical study of this expected value is carried out for different parametric families of distributions. (C) 2009 Elsevier B.V. All rights reserved.
Citation - WoS: 7
Citation - Scopus: 9
On flexible progressive censoring
(Elsevier, 2011-06) Bairamov, Ismihan; Parsi, Safar
In life testing experiment under the setup of progressive Type II censoring we consider a new flexible scheme, in which the experimenter removes r*(1), (r*(1) <= r(1)) units from the experiment if the first failure occurs before some predefined time t(1), and removes r(1) units when the first failure occurs after time t(1). If the second failure occurs before the time t(2), r*(2) surviving items are removed at random, otherwise r(2) surviving units are removed, (r*(2) <= r(2)), and so on; finally, after the mth failure, all remaining items are removed. Under this setup of the experiment we study the distributions of failure times, which are entitled as flexible progressive Type II censored (FPC) order statistics. The simulation algorithm for generating FPC samples and an illustrative example for a special case of exponential distribution are also presented. Finally, a Monte Carlo study is also conducted for the expected termination time under FCP. (C) 2010 Elsevier B.V. All rights reserved.
Citation - WoS: 15
Citation - Scopus: 17
Order Statistics From Mixed Exchangeable Random Variables
(Elsevier Science Bv, 2011-06) Bairamov Ismihan; Parsi, Safar
Two different exchangeable samples are considered and these two samples are assumed to be independent of each other. From these two samples a new sample is combined and treated as a single set of observations. The distribution of a single order statistic and the joint distribution of two order statistics for a new mixed sample are derived and expressed in terms of joint distribution functions. As a special case the distribution of a single order statistic and the joint distribution of two nonadjacent order statistics from exchangeable random variables are obtained. The results presented in this paper allows widespread applications in modelling of various lifetime data, biomedical sciences, reliability and survival analysis, actuarial sciences etc., where the assumption of independence of data cannot be accepted and the exchangeability is a more realistic assumption. (C) 2010 Elsevier B.V. All rights reserved.