Odd Hyperbolic Cosine-FG Family of Lifetime Distributions

DOI

10.2991/jsta.d.191112.003How to use a DOI?

Keywords

Odd ratio function; Order statistics; Bootstrap; Lindley distribution; Characterizations

Abstract

In the present paper, a new family of lifetime distributions is introduced via odd ratio function, the well-known concept in survival analysis and reliability engineering. Some important properties of the proposed model including survival function, quantile function, hazard function, order statistic are obtained in a general setting. A special case of this new family is taken up by considering exponential and Lindley models as the parent distributions. In addition, estimation of the unknown parameters of the special model will be examined from the perspective of the classic statistics. A simulation study is presented to investigate the bias and mean square error of the maximum likelihood estimators. Moreover, an example of real data set is studied; point and interval estimations of all parameters are obtained by maximum likelihood and bootstrap (parametric and non-parametric) procedures. Finally, the superiority of the proposed model in terms of the parent exponential distribution over other fundamental statistical distributions is shown via the example of real observations.

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  - Omid Kharazmi
AU  - Ali Saadatinik
AU  - Morad Alizadeh
AU  - G. G. Hamedani
PY  - 2019
DA  - 2019/11/25
TI  - Odd Hyperbolic Cosine-FG Family of Lifetime Distributions
JO  - Journal of Statistical Theory and Applications
SP  - 387
EP  - 401
VL  - 18
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.191112.003
DO  - 10.2991/jsta.d.191112.003
ID  - Kharazmi2019
ER  -