ZELIBE, Samuel ChiabomEFE-EYEFIA, EferhonoreEGHWERIDO, Joseph Thomas2026-02-122026-02-122020ZELIBE, S. C., EFE-EYEFIA, E. and EGHWERIDO, J. T. (2020) Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications; Gazi University Journal of Science, 33(1): 265-277. DOI: 10.35378/gujs.537832https://repository.fupre.edu.ng/handle/123456789/157Journal ArticleThis 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.enArticle