Asian Journal of Probability and Statistics

This study introduces an Area Biased Exp-Gamma (ABEXPG) distribution obtained by applying area-biased weighting to the Exp-Gamma distribution. The proposed model is developed for non-negative continuous data, and its principal statistical and reliability characteristics are investigated. Closed-form expressions are presented for the probability density and cumulative distribution functions, survival and hazard-related functions, moments, harmonic mean, moment-generating and characteristic functions, entropy measures, order statistics, and Bonferroni and Lorenz curves. The unknown model parameter is estimated using the maximum likelihood method, with numerical computation employed because the resulting likelihood equation does not provide a simple explicit solution. The empirical applicability of the ABEXPG distribution is examined using three datasets representing population growth, analgesic relief times, and rainfall. Its goodness of fit is compared with the Area Biased X-Gamma, Area Biased Kpenadidum, and Area Biased one-parameter Linear Exponential distributions using the Akaike information criterion, Bayesian information criterion, Kolmogorov–Smirnov statistic, and associated p-values. For the three datasets reported, the ABEXPG distribution produced smaller reported Akaike information criterion and Kolmogorov–Smirnov statistic values than the comparison models. These empirical results indicate that the proposed distribution may provide a useful alternative for modelling suitable non-negative continuous datasets.