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The generalized FGM distribution and its application to stereology of extremes

Daniel Hlubinka, Samuel Kotz (2010)

Applications of Mathematics

The generalized FGM distribution and related copulas are used as bivariate models for the distribution of spheroidal characteristics. It is shown that this model is suitable for the study of extremes of the 3D spheroidal particles observed in terms of their random planar sections.

Theoretical aspects of total time on test transform of weighted variables and applications

Mojtaba Esfahani, Gholam Reza Mohtashami-Borzadaran, Mohammad Amini (2023)

Kybernetika

Although the total time on test (TTT) transform is not a newly discovered concept, it has many applications in various fields. On the other hand, weighted distributions are extensively developed by the statisticians to tackle the insufficiency of the standard statistical distributions in modeling the arising data from real-world problems in the contexts like medicine, ecology, and reliability engineering. This paper develops the TTT transform for the weighted random variables and investigates the...

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