A New Modified Kumaraswamy Distribution: Actuarial Measures and Applications

In this paper, a new modified Kumaraswamy distribution is proposed, and some of its basic properties are presented, such as the mathematical expressions for moments, probability weighted order statistics, quantile function, reliability, entropy measures. The parameter estimation done via maximum likelihood method. to show usefulness proposed model, well-established actuarial measures value-at-risk, expected-shortfall, tail-value-at-risk, tail-variance, tail-variance-premium obtained. A simulation study carried out assess performance estimates. empirical analysis that our model better in compared other competitive models related extended model. Thus, insurance claim data engineering real-life sets considered prove claim.