In this article, a selection of Nakagami distribution is investigated. Some properties of the model with some plots of the density
function are illustrated. Additionally, weighted of the one-sided Gaussian distribution, Generalized Rayleigh distribution are
discussed as a special case of Generalized Nakagami distribution. In addition, maximum likelihood estimators are investigated
with numerical methods and are compared by four sub-models with a real wave height data set. Finally, a simulation study is
presented for parameters. In this article, we pay attention to a selection model from the NA distribution. Selection distributions have been considered extensively by
many authors; for a best survey of estimation method discussions and applications, see Heckman [2], Copas and Li [3], Arrellano-Valle
et al. [4], Signer et al. [5], Balakrishnan et al. [6], Zamani et al. [7] and Arashi et al. [8] and more recently. The organization of this paper is as
follows: In Section 2, we present definition and some representations of this model. In Section 3, some important properties are discussed.
Also, numerical methods and graphs helped to picture some measures are obtained. Statistical inferences by numerical methods are fulfilled
in Section 4 to estimate the parameters of the introduced distribution with real wave height data. In Section 5, the explanation of various
estimators compared by performing the Monte Carlo simulation is studied. |
