Power New Generalized Class of Kavya-Manoharan Distributions with an Application to Exponential Distribution
Lazhar Benkhelifa
Abstract
Recently, Verma et al. (2025) introduced a novel generalized class of Kavya-Manoharan distributions, which
have demonstrated significant utility in reliability analysis and the modeling of lifetime data. This paper
proposes an extension of this class by applying the power generalization technique, thereby enhancing more
flexibility and applicability. We take the exponential distribution as the baseline distribution to introduce a new
model capable of accommodating both monotonic and non-monotonic hazard rate functions. Our model
includes eleven sub-models. We present several statistical properties of the introduced model, including
moments, generating and characteristic functions, mean deviations, quantile function, mean residual life
function, Rényi entropy, order statistics, and reliability. To estimate the unknown model parameters, we use the
maximum likelihood approach. A simulation study is conducted to assess the validity of the maximum
likelihood estimator. The superiority of the new distribution is demonstrated through the use of a real data
application.
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