Exponentiated inverse Nadarajah-Haghighi distribution : properties and applications

Abstract EN

In this paper, we introduced a new three-parameter distribution named exponentiated inverted Nadarajah-Haghighi (EINH) distribution.

This distribution is generalized of inverse Nadarajah-Haghighi distribution.

It can be also considered as an extension of the inverse exponential distribution.

Some of the mathematical properties of the new distribution are studied.

The quantile function, density and distribution functions, moments, generating function and order statistics are obtained.

The model parameters are estimated using the maximum likelihood method.

Two real applications are used to show the flexibility of the EINH distribution.