An Alternate Generalized Odd Generalized Exponential Family with Applications to Premium Data

In this article, we use Lehmann alternative-II to extend the odd generalized exponential family. The uniqueness of family lies in fact that transformation has resulted a multitude inverted distribution families with important applications actuarial field. We can characterize density new as linear combination generalised distributions, which is useful for studying some family’s properties. Among structural characteristics are being identified explicit expressions numerous types moments, quantile function, stress-strength reliability, generating Rényi entropy, stochastic ordering, and order statistics. maximum likelihood methodology often used compute parameters. To confirm our results converging reduced mean square error biases, perform simulation analysis one special model, namely OGE2-Fréchet. Furthermore, its application using two data sets achieved, favoring superiority over other competitive models, especially risk theory.