IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 11 NO. 3 2025
DOI: 10.56201/ijasmt.vol.11.no3.2025.pg1.13

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A New Generalization of the Exponentiated Gumbel Type-2 distribution with Application to Reliability data

Ajayi Bamidele, Adeleye Najeem Adesola, Adefolarin David Adekunle

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Abstract

The addition of an extra parameter to standard distributions is a common technique in statistical theory. This study introduces a new generalization of the Exponentiated Gumbel distribution named alpha power exponentiated Gumbel Type-2 (??????2) distribution. The ??????2 allows for a significant amount of versatility in modeling various data forms as it accommodates upside-down bathtubs, decreasing, and reversed-J shapes for hazard rate function. Some of the ??????2’s mathematical properties are derived in close forms. The maximum likelihood estimation technique was used for the purpose of estimation. An application to epoxy data demonstrate the flexibility of the ??????2 model compared to other models in the study.

keywords:

Alpha Power Exponentiated Gumbel Type-2 model, upside-down bathtubs, hazard rate

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