scholarly journals Estimating the Parameters of Rayleigh Cumulative Exposure Model in Simple Step-Stress Testing. Natasha Beretvas is an

2009 ◽  
Vol 8 (2) ◽  
pp. 478-487
Author(s):  
Mohammed Al-Haj Ebrahem ◽  
Abedel-Qader Al-Masri
Keyword(s):  
Stress Testing ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Cumulative Exposure Model ◽  
Simple Step

scholarly journals Optimum Times for Step-Stress Cumulative Exposure Model Using Log-Logistic Distribution with Known Scale Parameter

2016 ◽  
Vol 38 (1) ◽  
Author(s):  
Abedel-Qader Al-Masri ◽  
Mohammed Al-Haj Ebrahem
Keyword(s):  
Scale Parameter ◽  
Asymptotic Variance ◽  
Life Time ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Logistic Distribution ◽  
Model Parameters ◽  
Cumulative Exposure Model ◽  
Simple Step ◽  
Design Stress

In this paper we assume that the life time of a test unit follows a log-logistic distribution with known scale parameter. Tables of optimum times of changing stress level for simple step-stress plans under a cumulative exposure model are obtained by minimizing the asymptotic variance of the maximum likelihood estimator of the model parameters at the design stress with respect to the change time.

Simple step-stress model for an extension of the exponential distribution with type-I censoring

2015 ◽  
Vol 32 (8) ◽  
pp. 906-920 ◽  
Author(s):  
Firoozeh Haghighi
Keyword(s):  
Exponential Distribution ◽  
Maximum Likelihood Estimates ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Type I ◽  
Stress Model ◽  
Content Type ◽  
Type I Censoring ◽  
Cumulative Exposure Model ◽  
Simple Step

Purpose – The purpose of this paper is to design a simple step-stress model under type-I censoring when the failure time has an extension of the exponential distribution. Design/methodology/approach – The scale parameter of the distribution is assumed to be a log-linear function of the stress and a cumulative exposure model is hold. The maximum likelihood estimates of the parameters, as well as the corresponding Fisher information matrix are derived. Two real examples are given to show the application of an extension of the exponential distribution in reliability studies and a numerical example is presented to illustrate the method discussed here. Findings – A simple step-stress test under cumulative exposure model and type-I censoring for an extension of the exponential distribution is presented. Originality/value – The work is original.

On optimal operational sequence of components in a warm standby system

2018 ◽  
Vol 55 (4) ◽  
pp. 1014-1024 ◽  
Author(s):  
Maxim Finkelstein ◽  
Nil Kamal Hazra ◽  
Ji Hwan Cha
Keyword(s):  
Open Problem ◽  
Cumulative Exposure ◽  
Exposure Model ◽  
Virtual Age ◽  
Cumulative Exposure Model ◽  
Standby System ◽  
Stochastic Precedence ◽  
Warm Standby

Abstract We consider an open problem of obtaining the optimal operational sequence for the 1-out-of-n system with warm standby. Using the virtual age concept and the cumulative exposure model, we show that the components should be activated in accordance with the increasing sequence of their lifetimes. Lifetimes of the components and the system are compared with respect to the stochastic precedence order and its generalization. Only specific cases of this optimal problem were considered in the literature previously.

Petrolatum Prevents Irritation in a Human Cumulative Exposure Model in vivo

Dermatology ◽  
1997 ◽  
Vol 194 (3) ◽  
pp. 247-250 ◽  
Author(s):  
W. Wigger-Alberti ◽  
P. Elsner
Keyword(s):  
Cumulative Exposure ◽  
Exposure Model ◽  
Cumulative Exposure Model
Sign in / Sign up

Export Citation Format

Share Document