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Research Article Open access CC BY 4.0

Transmuted Ailamujia Distribution with Applications to Lifetime Observations

A. A. Adetunji

Asian Journal of Probability and Statistics · pp. 1–11 · Published 2 Jan 2023

10.9734/ajpas/2023/v21i1452

Abstract

Background of the Study: Quest to extend existing probability distributions to allow for more flexibility in data modelling is never ending. Aims: This study extends the Ailamujia distribution using quadratic transmutation map to propose a new 2-paramter lifetime distribution. Methodology: Shapes of the density function and the hazard rate function of the new propositions are obtained. Some mathematical properties of the new distribution are also obtained. Results: Application of the distribution to four lifetime datasets reveals that the distribution competes favourably with other related distributions. Conclusion: The new distribution competes favourably with the existing distributions in data modelling.

Ailamujia distribution quadratic transmutation lifetime observations reliability functions parameter estimation

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