Document Type
Article
Language
eng
Publication Date
2020
Publisher
Ankara Universitesi
Source Publication
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Source ISSN
1303-5991
Abstract
A new family of lifetime distributions is introduced via distribution of the upper record values, the well-known concept in survival analysis and reliability engineering. Some important properties of the proposed model including quantile function, hazard function, order statistics are obtained in a general setting. A special case of this new family is proposed by considering the exponential and Weibull distribution as the parent distributions. In addition estimating unknown parameters of specialized distribution is examined from the perspective of the traditional statistics. A simulation study is presented to investigate the bias and mean square error of the maximum likelihood estimators. Moreover, one example of real data set is studied; point and interval estimations of all parameters are obtained by maximum likelihood and boot-strap (parametric and non-parametric) procedures. Finally, the superiority of the proposed model in terms of the parent exponential distribution over other known distributions is shown via the example of real observations.
Recommended Citation
Kharizmi, Omid; Saadatinik, Ali; and Hamedani, Gholamhossein, "A New Generalized-upper Record Values-G Family of Lifetime Distributions" (2020). Mathematical and Statistical Science Faculty Research and Publications. 52.
https://epublications.marquette.edu/math_fac/52
Comments
Published version. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Vol. 69, No. 2 (2020): 995-1012. DOI. © 2020 Ankara Universitesi. Used with permission.