The Asymmetrical n-k Distribution

Abstract

This paper specializes and parameterizes the general result presented elsewhere in the literature in order to propose, fully characterize, and investigate the Asymmetrical − Distribution. It yields estimators for the involved parameters and uses field measurements to validate the distribution. The Asymmetrical − Distribution includes, as special cases, important distributions such as Rayleigh, Rice, Hoyt, Nakagami-q, and One-Sided Gaussian. The fact that the Asymmetrical − Distribution has one more parameter than the well-known distributions renders it more flexible. Of course, in situations in which those distributions included in it give good results a better fit is given by the Asymmetrical − Distribution. In addition, in many other situations in which these distributions give poor results a good fit may be found through the Asymmetrical − Distribution. More specifically, its non-monomodal feature finds applications in several circumstances, examples of which are given in this paper.