Relative ageing of (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-out-of-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:mi>n</mml:mi></mml:math> systems

Misra, Neeraj; Francis, Jisha

doi:10.1016/j.spl.2015.07.013

Cited by 15 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some relative stochastic orders including the relative (reversed) hazard rate and relative mean residual life orders have attracted the attention of researchers in the last decade (cf. Di-Crescenzo and Longobardi [20], Kayid et al [21], Misra and Francis [22], Misra et al [23], Ding et al [24], Ding and Zhang [25], Misra and Francis [26] and Misra and Francis [27]). We reminisce about the definition of these orders from Rezaei et al [28] and Kayid et al [21] [see, for example, Definition 1(v) and (vi)].…”

Section: Example 5 (Weighted Right-truncated Distribution) Let W(xmentioning

confidence: 99%

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Al-Babtain

Shrahili

Alshehri

et al. 2020

Entropy

View full text Add to dashboard Cite

In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or the underlying random variable is specifically investigated. Special weighted distributions are considered to scrutinize the consistency as well as the usefulness of the results. Stochastic comparisons of coherent systems made of identical but dependent components are made and also a result for comparison of Shannon entropies of weighted distributions is developed.

show abstract

Section: Example 5 (Weighted Right-truncated Distribution) Let W(xmentioning

confidence: 99%

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Al-Babtain

Shrahili

Alshehri

et al. 2020

Entropy

View full text Add to dashboard Cite

show abstract

Relative Aging of Coherent Systems

Ding

Fang

Zhao

2017

Naval Research Logistics

View full text Add to dashboard Cite

In this article, we carry out the stochastic comparison between coherent systems through the relative aging order when component lifetimes are independent and identically distributed. We make use of the signature to characterize the structure of coherent systems, and derive several sufficient conditions under which the compared systems with the common size can be ordered in the sense of relative aging. Specially, we present some scenarios wherein the better a coherent system is, the faster it ages. Moreover, we discuss the relative aging of dual systems as well. Several numerical examples are provided to illustrate the theoretical results. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 345–354, 2017

show abstract

Relative aging of (n − k + 1)‐out‐of‐n systems based on cumulative hazard and cumulative reversed hazard functions

Misra

Francis

2018

Naval Research Logistics

Self Cite

View full text Add to dashboard Cite

The notion of relative aging describes the rate at which one system ages relative to the other. Di Crescenzo, and Sengupta and Deshpande defined two notions of relative aging based on monotonicity of ratios of cumulative reversed hazard functions and cumulative hazard functions, respectively. In this paper, we discuss the relative aging of (n − k + 1)‐out‐of‐n systems in terms of these notions.

show abstract

Relative ageing of (n−k+1)-out-of-n systems

Cited by 15 publications

References 11 publications

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Relative Aging of Coherent Systems

Relative aging of (n − k + 1)‐out‐of‐n systems based on cumulative hazard and cumulative reversed hazard functions

Contact Info

Product

Resources

About