Stress-strength, Shannon entropy and relative entropy of some unit truncated inverted Gamma-G densities

Since Abid and Abdullrazak (2017)[1,2] suggested unit truncated H-G family of distributions, a lot of published papers based on this family to derive new distributions for representing set(s) of real data more flexibly. In this paper, we present two new distributions, named unit truncated Inverted G...

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Bibliographic Details
Main Authors: Abid, Salah H., Kadhim, Fadhl J.
Format: Conference Proceeding
Language:English
Subjects:
Entropy (Information theory)
Maximum likelihood estimation
Probability distribution functions
Online Access:Get full text
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Summary:Since Abid and Abdullrazak (2017)[1,2] suggested unit truncated H-G family of distributions, a lot of published papers based on this family to derive new distributions for representing set(s) of real data more flexibly. In this paper, we present two new distributions, named unit truncated Inverted Gamma - rectangular Distribution (UTIG-RD) and unit truncated Inverted Gamma - doubly truncated Exponential Distribution (UTIG-DTED). The rth raw moments function form derives for new densities. Stress-strength reliability, Shannon and relative entropies have also been discussed. We conduct two simulation studies, one for each distribution of UTIG-RD and UTIG-DTED to detect the acts of the maximum likelihood estimations of the models.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0102902