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.
Farlie-Gumbel-Morgenstern distribution copula reliability analysis generating distribution exponential distribution
Primary Language | English |
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Subjects | Statistics |
Journal Section | Research Articles |
Authors | |
Publication Date | June 23, 2023 |
Submission Date | September 23, 2022 |
Acceptance Date | December 18, 2022 |
Published in Issue | Year 2023 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.