Reconstruction of the past lower record values in a proportional reversed hazard rate model

Statistics ◽  
2012 ◽  
Vol 48 (2) ◽  
pp. 421-435 ◽  
Author(s):  
B. Khatib ◽  
Jafar Ahmadi ◽  
M. Razmkhah
Keyword(s):  
Hazard Rate ◽  
Record Values ◽  
Rate Model ◽  
Reversed Hazard Rate ◽  
The Past ◽  
Hazard Rate Model ◽  
Lower Record ◽  
Lower Record Values

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

2012 ◽  
Vol 82 (3) ◽  
pp. 475-489 ◽  
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

scholarly journals Ordering Awad–Varma Entropy and Applications to Some Stochastic Models

Mathematics ◽  
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).

scholarly journals Further Results on Dynamic Additive Hazard Rate Model

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Zhengcheng Zhang ◽  
Limin Zhang
Keyword(s):  
Hazard Rate ◽  
Stochastic Orders ◽  
Rate Model ◽  
Stochastic Comparisons ◽  
Reversed Hazard Rate ◽  
The Past ◽  
Hazard Rate Model ◽  
Aging Properties ◽  
Hazard Rate Models

In the past, the proportional and additive hazard rate models have been investigated in the works. Nanda and Das (2011) introduced and studied the dynamic proportional (reversed) hazard rate model. In this paper we study the dynamic additive hazard rate model, and investigate its aging properties for different aging classes. The closure of the model under some stochastic orders has also been investigated. Some examples are also given to illustrate different aging properties and stochastic comparisons of the model.

scholarly journals SOME CONVEXITY PROPERTIES OF THE DISTRIBUTION OF LOWER k-RECORD VALUES WITH EXTENSIONS

2014 ◽  
Vol 28 (3) ◽  
pp. 389-399 ◽  
Author(s):  
Mahdi Alimohammadi ◽  
Mohammad Hossein Alamatsaz ◽  
Erhard Cramer
Keyword(s):  
Hazard Rate ◽  
Random Variables ◽  
Record Values ◽  
Fundamental Result ◽  
Reversed Hazard Rate ◽  
Convexity Properties ◽  
Lower Record ◽  
Lower Record Values ◽  
Dual Generalized Order Statistics ◽  
Strong Unimodality

Unimodality and strong unimodality of the distribution of ascendingly ordered random variables have been extensively studied in the literature, whereas these properties have not received much attention in the case of descendingly ordered random variates. In this paper, we show that log concavity of the reversed hazard rate implies that of the density function. Using this fundamental result, we establish some convexity properties of such random variables. To do this, we first provide a counterexample showing that a claim of Basak & Basak [7] about the lower record values is not valid. Then, we provide conditions under which unimodality properties of the distribution of lower k-record values would hold. Finally, some extensions to dual generalized order statistics in both univariate and multivariate cases are discussed.

Stochastic comparisons of largest-order statistics for proportional reversed hazard rate model and applications

2020 ◽  
Vol 57 (3) ◽  
pp. 832-852
Author(s):  
Lu Li ◽  
Qinyu Wu ◽  
Tiantian Mao
Keyword(s):  
Order Statistics ◽  
Likelihood Ratio ◽  
Hazard Rate ◽  
Parallel Systems ◽  
Rate Model ◽  
Stochastic Comparisons ◽  
Reversed Hazard Rate ◽  
Generalized Gamma ◽  
Pareto Distributions ◽  
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.

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

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.

Sign in / Sign up

Export Citation Format

Share Document