Open AccessThe New rT - X Family of Distributions: Some Properties with Applications
Author(s) -
Clement Boateng Ampadu,
Abdulzeid Yen Anafo
Publication year - 2019
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.2219.409432
Subject(s) - class (philosophy) , statistical parameter , maximum likelihood , statistical physics , probability distribution , computer science , k distribution , statistical model , distribution (mathematics) , mathematics , theoretical computer science , statistics , artificial intelligence , physics , mathematical analysis
The rT - X family of distributions induced by V which have been introduced in [1] is further explored in this paper. In particular, we have obtained some basic mathematical properties of this new family. The simulation study shows the method of maximum likelihood is adequate in estimating the unknown parameters in sub-models of this new class of statistical distributions. Further, the application shows that sub-models of this new family of distributions are useful in material science engineering and related disciplines that call for modeling and forecasting of related data sets. Finally, inspired by the Ampadu-G family of distributions [2], we propose a new class of distributions that have never appeared in the literature, and ask the reader to investigate some properties and applications of this new class of distributions.