Discrimination between Weibull and Lognormal distributions for lifetime data.

G. R. Pasha; M. Shuaib Khan; Ahmad Hesham Pasha

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Discrimination between Weibull and Lognormal distributions for lifetime data.

Author(s)

G. R. Pasha Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan

M. Shuaib Khan Department of Statistics, Government Zamindar College, Gujrat, Pakistan

Ahmad Hesham Pasha Department of Electrical Engineering, Bahauddin Zakariya University, Multan, Pakistan

Abstract

Reliability and failure data, both from life testing and from in-service records, are often modeled by the Weibull or Lognormal distributions so as to be able to interpolate and/or extrapolate results. The aim of this research is to discriminate between the Weibull and Lognormal distributions for complete samples. Both reliability models Weibull and Lognormal are then illustrated. Median rank regression (MRR) and maximum likihood estimation (MLE) data-fifting methods are described and goodness-of-fit using maximum likelihood ratio (MLR) and most powerful invariant (MPI) tests. We find the Weibull distribution better for fitting to lifetime data when comparing with the Lognormal distribution.

Publication Details

Page(s) 103-114

DOI DOI not available

Published Journal: Journal of Research Science, Volume: 17, Issue: 2, Year: 2006

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