Power Inverted Nadarajah–Haghighi Distribution: Properties, Estimation, and Applications

In this paper, a new three-parameter power inverted Nadarajah–Haghighi distribution is proposed and studied. The generalization of the in which an additional shape parameter included. Surprisingly, dominates tails’ weights also affects skewness kurtosis. Such heavy-tailed distributions are suitable for fitting actuarial financial risk real problems. Important mathematical properties obtained. Characterization based on two truncated moments derived. parameters estimated using maximum likelihood method. Further, numerical simulation study conducted reinforcement results. Finally, application to real-life data sets presented prove its applicability.