Odd Generalized Exponential Kumaraswamy–Weibull Distribution

Sandra S. Ferreira () and Dário Ferreira
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Sandra S. Ferreira: Department of Mathematics, Centre of Mathematics, University of Beira Interior, 6201-001 Covilhã, Portugal
Dário Ferreira: Department of Mathematics, Centre of Mathematics, University of Beira Interior, 6201-001 Covilhã, Portugal

Mathematics, 2025, vol. 13, issue 7, 1-18

Abstract: A novel odd generalized exponential Kumaraswamy–Weibull distribution is defined. This distribution is distinguished by its capacity to capture a wider class of hazard functions than the standard Weibull models, such as non-monotonic and bathtub-shaped hazards. This is an advancement in distribution theory because it provides a new simplified form of the distribution with a much more complicated behavior, which results in better statistical inference and detail in survival analysis and other related fields. Considerations on the identifiability of the proposed distribution are addressed, emphasizing the distinct contributions of its parameters and their roles in model behavior characterization. One real dataset from a survival experiment is considered, highlighting the practical implications of our distribution in the context of reliability.

Keywords: generalized exponential family; maximum likelihood estimation; odd generalized exponentiated family; Weibull distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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