A New Generalized Two-Sided Class of the Distributions Via New Transmuted Two-Sided Bounded Distribution

DOI

10.2991/jsta.d.190306.003How to use a DOI?

Keywords

Hazard rate function; order statistics; maximum likelihood estimator; transmutation map; transmuted two-sided distribution

Abstract

In the present paper, we first consider a generalization of the standard two-sided power distribution so-called the transmuted two-sided distribution, and then extend proposed idea to generalized two-sided class of distributions, introduced by Korkmaz and Genç [1]. Some statistical and reliability properties including explicit expressions for quantiles, hazard rate function, order statistics, and maximum likelihood estimation are obtained in general setting. Generalized transmuted two-sided exponential distribution is considered as a especial case and denoted with the name TTSG−G. A simulation study is presented to investigate the bias and mean square error of the maximum likelihood estimators. We use a real data set and obtain the maximum likelihood and parametric bootstrap estimator of the parameters of TTSG−G distribution. Finally, the superiority of the new model to some common statistical distributions is shown through the different criteria of selection model including log-likelihood values, Akaike information criterion, and Kolmogorov–Smirnov test statistic values.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

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  - O. Kharazmi
AU  - M. Zargar
PY  - 2019
DA  - 2019/06/18
TI  - A New Generalized Two-Sided Class of the Distributions Via New Transmuted Two-Sided Bounded Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 87
EP  - 102
VL  - 18
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190306.003
DO  - 10.2991/jsta.d.190306.003
ID  - Kharazmi2019
ER  -