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Open AccessArticle

Stochastic Aspects of Proportional Vitalities Model

1
Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia
2
Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez 43511, Egypt
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1823; https://doi.org/10.3390/math8101823
Received: 13 September 2020 / Revised: 29 September 2020 / Accepted: 13 October 2020 / Published: 17 October 2020
(This article belongs to the Section Probability and Statistics Theory)
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. View Full-Text
Keywords: vitality function; smoothing; empirical distribution; triangular distribution; hazard rate order; mean residual order; preservation; simulation vitality function; smoothing; empirical distribution; triangular distribution; hazard rate order; mean residual order; preservation; simulation
MDPI and ACS Style

Shrahili, M.; Albabtain, A.A.; Kayid, M.; Kaabi, Z. Stochastic Aspects of Proportional Vitalities Model. Mathematics 2020, 8, 1823.

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