Graphical Representation of Optimal Time for a Step-Stress Accelerated Life Test Design Using Frechet Distribution

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Author(s)

Sana Shahab 1,* Arif-Ul-Islam 1

1. Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijitcs.2014.12.10

Received: 10 Apr. 2014 / Revised: 15 Jul. 2014 / Accepted: 4 Sep. 2014 / Published: 8 Nov. 2014

Index Terms

Accelerated Life Testing, Step-Stress, Frechet (Inverse Weibull) Distribution, Maximum Likelihood, Asymptotic Variance (AV), Optimal Time, Confidence Interval

Abstract

The article provides an approach of getting optimal time through graph for Simple step stress accelerated test of inverse weibull distribution. In this we estimate parameters using log linear relationship by maximum likelihood method. Along with this, asymptotic variance and covariance matrix of the estimators are given. Comparison between expected and observed Fisher Information matrix is also shown. Furthermore, confidence interval coverage of the estimators is also presented for checking the precession of estimator. This approach is illustrated with an example using software.

Cite This Paper

Sana Shahab, Arif-Ul-Islam, "Graphical Representation of Optimal Time for a Step-Stress Accelerated Life Test Design Using Frechet Distribution", International Journal of Information Technology and Computer Science(IJITCS), vol.6, no.12, pp.74-81, 2014. DOI:10.5815/ijitcs.2014.12.10

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