Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions

DOI

10.2991/jsta.d.210129.001How to use a DOI?

Keywords

Transmuted map; Order Statistics; Weibull distribution; Beta distribution; Hazard function; Continuous distributions

Abstract

This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank map transmuted Weibull distribution. The distributional characteristics such as probability curve, mean, variance, skewness, kurtosis, distribution of largest order statistics, and their characteristics studied to compare with ordinary Weibull distribution. Hazard rate functions and distributional characteristics of largest order statistics of transmuted distributions are also studied. It is observed that the transmuted distributions are more flexible to model real data, since the data can present a high degree of skewness and kurtosis. If someone is interested to locate more flexible and higher degree of skewed distribution can explore this generalized transmuted family of distributions for future use.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - M. A. Ali
AU  - Haseeb Athar
PY  - 2021
DA  - 2021/02/05
TI  - Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 132
EP  - 148
VL  - 20
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210129.001
DO  - 10.2991/jsta.d.210129.001
ID  - Ali2021
ER  -