MONOTONICITY OF HAZARD RATE FUNCTION WITH APPLICATION TO THE NEW MIXTURE EXPONENTIAL-GAMMA (NMEG) DISTRIBUTION
DOI:
https://doi.org/10.33003/fjs-2026-1001-4337Keywords:
Monotonicity, Survival Probability Model, Monotone Hazard Rate, Bathtub Hazard RateAbstract
In this study, a review of the monotonicity of the hazard rate function of a probability distribution for survival models is presented. The conditions for monotonicity were discussed. The concept of monotonicity can be analytically derived and tested using the knowledge of elementary differential calculus. The New Mixture of Exponential-Gamma distribution was considered as a case study to illustrate the usefulness of these conditions on survival data analysis.
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Copyright (c) 2026 Lawrence C. NZEI, Jacob C. EHIWARIO, Joseph T. EGHGHWERIDO
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