Some comments on methodology of cubic rank transmuted distributions

Abstract

In this study, at first a new polynomial rank transmutation is proposed. Then, a new cubic rank transmutation is introduced by simplifying the set of transmutation parameters in order to improve its usefulness in statistical modeling. The purpose of this comment is to clarify some issues that exist in the methodology of obtaining the distribution by the cubic transmutation and the stage of proofing it. In this way, both the parameter space is expanded and the process of establishing the cubic transformed distribution family is given.

Keywords

• Polynomial rank transmutation
• cubic rank transmutation
• quadratic rank transmutation
• transmuted distribution family
• order statistics
• failure distribution

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