Prediction Based on Type-II Censored Coherent System Lifetime Data under a Proportional Reversed Hazard Rate Model

AbstractWe investigate stochastic comparisons of parallel systems (corresponding to the largest-order statistics) with respect to the reversed hazard rate and likelihood ratio orders for the proportional reversed hazard rate (PRHR) model. As applications of the main results, we obtain the equivalent characterizations of stochastic comparisons with respect to the reversed hazard rate and likelihood rate orders for the exponentiated generalized gamma and exponentiated Pareto distributions. Our results recover and strengthen some recent results in the literature.

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Comparison of two sampling schemes in estimating the stress-strength reliability under the proportional reversed hazard rate model

Statistics Optimization & Information Computing ◽

10.19139/soic-2310-5070-781 ◽

2020 ◽

Vol 9 (1) ◽

pp. 82-98

Author(s):

Amineh Sadeghpour ◽

Ahmad Nezakati ◽

Mahdi Salehi

Keyword(s):

Hazard Rate ◽

Interval Estimation ◽

Minimum Variance ◽

Ranked Set Sampling ◽

Sampling Scheme ◽

Rate Model ◽

Data Set ◽

Reversed Hazard Rate ◽

Sampling Schemes ◽

Hazard Rate Model

In this paper, point and interval estimation of stress-strength reliability based on lower record ranked set sampling scheme under the proportional reversed hazard rate model are considered. Maximum likelihood, uniformly minimum variance unbiased, and Bayesian estimators of $\mathcal{R}$ are derived and their performances are compared. Various confidence intervals for the parameter $\mathcal{R}$ are constructed, and compared based on the simulation study. Moreover, the record ranked set sampling scheme is compared with ordinary records in case of interval estimations. Finally, a data set has been analyzed for illustrative purposes.

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Reconstruction of the past failure times for the proportional reversed hazard rate model

Journal of Statistical Computation and Simulation ◽

10.1080/00949655.2010.542550 ◽

2012 ◽

Vol 82 (3) ◽

pp. 475-489 ◽

Cited By ~ 3

Author(s):

A. Asgharzadeh ◽

Jafar Ahmadi ◽

Z. Mirzazadeh Ganji ◽

R. Valiollahi

Keyword(s):

Hazard Rate ◽

Rate Model ◽

Reversed Hazard Rate ◽

Failure Times ◽

The Past ◽

Hazard Rate Model

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The E-Bayesian and hierarchical Bayesian estimations for the proportional reversed hazard rate model based on record values

Journal of Statistical Computation and Simulation ◽

10.1080/00949655.2017.1326118 ◽

2017 ◽

Vol 87 (11) ◽

pp. 2253-2273 ◽

Cited By ~ 10

Author(s):

Fatih Kızılaslan

Keyword(s):

Hazard Rate ◽

Record Values ◽

Hierarchical Bayesian ◽

Rate Model ◽

Reversed Hazard Rate ◽

Model Based ◽

Hazard Rate Model ◽

Bayesian Estimations

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Ordering Awad–Varma Entropy and Applications to Some Stochastic Models

Mathematics ◽

10.3390/math9030280 ◽

2021 ◽

Vol 9 (3) ◽

pp. 280

Author(s):

Răzvan-Cornel Sfetcu ◽

Sorina-Cezarina Sfetcu ◽

Vasile Preda

Keyword(s):

Shannon Entropy ◽

Stochastic Models ◽

Hazard Rate ◽

Stochastic Order ◽

Record Values ◽

Residual Entropy ◽

Proportional Hazard ◽

Rate Model ◽

Reversed Hazard Rate ◽

Hazard Rate Model

We consider a generalization of Awad–Shannon entropy, namely Awad–Varma entropy, introduce a stochastic order on Awad–Varma residual entropy and study some properties of this order, like closure, reversed closure and preservation in some stochastic models (the proportional hazard rate model, the proportional reversed hazard rate model, the proportional odds model and the record values model).

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