A new transmutation: conditional copula with exponential distribution
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Published:2023-06-23
Issue:2
Volume:72
Page:397-406
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ISSN:1303-5991
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Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
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language:en
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Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
Author:
ÜNÖZKAN Hüseyin1ORCID, YILMAZ Mehmet2ORCID
Affiliation:
1. HALIC UNIVERSITY 2. ANKARA UNIVERSITY, FACULTY OF SCIENCE
Abstract
In these days, many different techniques are implemented for generating distributions. The core aim in generating distribution, is better modeling capability. With generating new distribution more reliable and appropriate models are available for data sets. In this paper, a new distribution is gained by evaluating the conditional diagonal section of the bivariate Farlie-Gumbel-Morgenstern distribution with exponential marginals. Specifications and characteristics of this new distribution are studied. The statistical assessment and some reliability analyzes are carried out. The success of the new distribution on statistical modeling is detected by using data sets in literature. It is concluded that this new distribution suggests a model that can be used effectively in many different lifetime data sets.
Publisher
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Reference14 articles.
1. Al-Mutairi, D. K., Ghitany, M. E., Kundu, D., Inferences on stress-strength reliability from Lindley distributions, Communications in Statistics, Theory and Methods, 42(8) (2013), 1443–1463, https://dx.doi.org/10.1080/03610926.2011.563011. 2. Alghamedi, A., Dey, S., Kumar, D., Dobbah, S. A., A new extension of extended exponential distribution with applications, Annals of Data Science, 7(1) (2020), 139–162, https://dx.doi.org/10.1007/s40745-020-00240-w. 3. Barreto-Souza, W., Bakouch, H. S., A new lifetime model with decreasing failure rate, Statistics, 47(2) (2013), 465–476, https://dx.doi.org/10.1080/02331888.2011.595489. 4. Devore, J. L., Probability and Statistics for Engineering and the Sciences, 8. ed., Internat. Student ed., Brooks/Cole, Cengage Learning, [Belmont, Calif. [u.a.]], 2012. 5. Dey, S., Ghosh, I., Kumar, D., Alpha-power transformed lindley distribution: Properties and associated inference with application to earthquake data, Sankhya, 73 (2011), 623–650,
https://dx.doi.org/10.1007/s40745-018-0163-2.
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