Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications

Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications

This article proposed a Weibull-Alpha Power Inverted Exponential (WAPIE) distribution for lifetime processes. Statistical properties of this distribution such as survival, hazard, reversed hazard, cumulative, odd functions, kurtosis, quantiles, skewness, order statistics and the entropies were deriv...

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Bibliographic Details
Published in:Gazi University Journal of Science Vol. 33; no. 1; pp. 265 - 277
Main Authors: EFE-EYEFIA, Eferhonore, THOMAS, Joseph, ZELIBE, Samuel Chiabom
Format: Journal Article
Language:English
Published: Gazi Üniversitesi Yayınları 01-01-2020
Subjects:
Bilim-Teknoloji
Ankara
Türkiye
Alpha Power
Life time distribution
Inverted exponential
Weibull
Maximum likelihood
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Summary:This article proposed a Weibull-Alpha Power Inverted Exponential (WAPIE) distribution for lifetime processes. Statistical properties of this distribution such as survival, hazard, reversed hazard, cumulative, odd functions, kurtosis, quantiles, skewness, order statistics and the entropies were derived. Parameters of this family of distribution were also obtained by maximum likelihood method. The behaviour of the estimators was studied through simulation. The behavior of the new developed distribution was further examined through real life data. The WAPIE distribution competes favourably well with other distributions. 
ISSN:2147-1762
2147-1762
DOI:10.35378/gujs.537832