Stochastic Aspects of Proportional Vitalities Model

Mansour Shrahili, Abdulhakim A. Albabtain, Mohamed Kayid and Zahra Kaabi
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Mansour Shrahili: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia
Abdulhakim A. Albabtain: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia
Mohamed Kayid: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia
Zahra Kaabi: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia

Mathematics, 2020, vol. 8, issue 10, 1-14

Abstract: In this paper, a family of models requiring proportional mean life vitalities is considered. The problem of estimation of the parameter(s) of the model is studied in two cases of known and unknown baselines along with some simulation studies to detect the adequacy of fitting. Closure and preservation properties of some ageing classes and stochastic orders are derived.

Keywords: vitality function; smoothing; empirical distribution; triangular distribution; hazard rate order; mean residual order; preservation; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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