Journal of Statistics Applications & Probability

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This paper deals with a novel distribution defined as Alpha Power of the Power Ailamujia distribution (APPA). Using the power transformation technique, which incorporates an extra parameter of the distribution, the proposed distribution is obtained. The quantile function, moments, moment generating function, characteristics function, mode, median, order statistics, Shannons entropy, survival measures and other properties have been studied for the newly developed distribution. The behavior of probability density function (pdf), cumulative distribution function (cdf), survival function and hazard rate function are illustrated through various plots. The method of maximum likelihood estimation has been used to estimate the parameters of this distribution. Finally, the APPA distribution is more suitable than other competing distributions, according to four real data, including two COVID-19 data in two countries that were taken into consideration to assess the utility of the established distribution.

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