Combination of mean residual life order with reliability applications

2016 ◽  
Vol 29 ◽  
pp. 51-69 ◽  
Author(s):  
M. Kayid ◽  
S. Izadkhah ◽  
H. Alhalees
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Mean Residual Life Order

On Upshifted Reversed Mean Residual Life Order

2006 ◽  
Vol 35 (8) ◽  
pp. 1513-1523 ◽  
Author(s):  
Asok K. Nanda ◽  
Subarna Bhattacharjee ◽  
S. S. Alam
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Mean Residual Life Order

scholarly journals Reliability Analysis of the Proportional Mean Residual Life Order

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
M. Kayid ◽  
S. Izadkhah ◽  
H. Alhalees
Keyword(s):  
Residual Life ◽  
Stochastic Order ◽  
Mean Residual Life ◽  
New Order ◽  
Mean Residual Life Function ◽  
New Class ◽  
Mean Residual Life Order ◽  
Life Distributions ◽  
The Mean ◽  
Life Function

The concept of mean residual life plays an important role in reliability and life testing. In this paper, we introduce and study a new stochastic order called proportional mean residual life order. Several characterizations and preservation properties of the new order under some reliability operations are discussed. As a consequence, a new class of life distributions is introduced on the basis of the anti-star-shaped property of the mean residual life function. We study some reliability properties and some characterizations of this class and provide some examples of interest in reliability.

scholarly journals Preservation of the mean residual life order for coherent and mixed systems

2019 ◽  
Vol 56 (01) ◽  
pp. 153-173 ◽  
Author(s):  
Bo H. Lindqvist ◽  
Francisco J. Samaniego ◽  
Nana Wang
Keyword(s):  
Residual Life ◽  
Stochastic Order ◽  
Mean Residual Life ◽  
Coherent System ◽  
Hazard Rate Order ◽  
Stochastic Orderings ◽  
Mean Residual Life Order ◽  
The Mean ◽  
Point Of Departure ◽  
Mixed Systems

AbstractThe signature of a coherent system has been studied extensively in the recent literature. Signatures are particularly useful in the comparison of coherent or mixed systems under a variety of stochastic orderings. Also, certain signature-based closure and preservation theorems have been established. For example, it is now well known that certain stochastic orderings are preserved from signatures to system lifetimes when components have independent and identical distributions. This applies to the likelihood ratio order, the hazard rate order, and the stochastic order. The point of departure of the present paper is the question of whether or not a similar preservation result will hold for the mean residual life order. A counterexample is provided which shows that the answer is negative. Classes of distributions for the component lifetimes for which the latter implication holds are then derived. Connections to the theory of order statistics are also considered.

On Properties of Reversed Mean Residual Life Order for Weighted Distributions

2013 ◽  
Vol 42 (5) ◽  
pp. 838-851 ◽  
Author(s):  
S. Izadkhah ◽  
A. H. Rezaei Roknabadi ◽  
G. R. Mohtashami Borzadaran
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Weighted Distributions ◽  
Mean Residual Life Order

Aspects of the mean residual life order for weighted distributions

Statistics ◽  
2013 ◽  
Vol 48 (4) ◽  
pp. 851-861 ◽  
Author(s):  
S. Izadkhah ◽  
A.H. Rezaei Roknabadi ◽  
G.R. Mohtashami Borzadaran
Keyword(s):  
Residual Life ◽  
Mean Residual Life ◽  
Weighted Distributions ◽  
Mean Residual Life Order ◽  
The Mean

scholarly journals A Distribution for Instantaneous Failures

Stats ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 247-258 ◽  
Author(s):  
Pedro L. Ramos ◽  
Francisco Louzada
Keyword(s):  
Residual Life ◽  
Likelihood Estimation ◽  
Estimation Methods ◽  
Mean Residual Life ◽  
Parameter Distribution ◽  
Coverage Probabilities ◽  
Instantaneous Failures ◽  
The Relationship ◽  
Mean Variance ◽  
New Distribution

A new one-parameter distribution is proposed in this paper. The new distribution allows for the occurrence of instantaneous failures (inliers) that are natural in many areas. Closed-form expressions are obtained for the moments, mean, variance, a coefficient of variation, skewness, kurtosis, and mean residual life. The relationship between the new distribution with the exponential and Lindley distributions is presented. The new distribution can be viewed as a combination of a reparametrized version of the Zakerzadeh and Dolati distribution with a particular case of the gamma model and the occurrence of zero value. The parameter estimation is discussed under the method of moments and the maximum likelihood estimation. A simulation study is performed to verify the efficiency of both estimation methods by computing the bias, mean squared errors, and coverage probabilities. The superiority of the proposed distribution and some of its concurrent distributions are tested by analyzing four real lifetime datasets.

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