Truncated Inverse Generalized Rayleigh Distribution and Some Properties

Bayda atiya Kalaf; Noor Abdul Ameer Jabar; Umar Yusuf  Madaki

doi:10.30526/36.4.2977

Authors

Bayda atiya Kalaf Department of Mathmetics, College of Education for Pure Science, Ibn Al-Haytham, University of Baghdad, Baghdad, Iraq
Noor Abdul Ameer Jabar Department of Mathmetics, College of Education for Pure Science, Ibn Al-Haytham, University of Baghdad, Baghdad, Iraq
Umar Yusuf Madaki Department of Mathematics and Statistics, Faculty of Science Yobe State University Damaturu, Nigeria

DOI:

https://doi.org/10.30526/36.4.2977

Keywords:

Hazard Function, Inverse Generalized Rayleigh Distribution, Right Truncated, Survival Function.

Abstract

Truncated distributions arise naturally in many practical situations. It’s a conditional distribution that develops when the parent distribution's domain is constrained to a smaller area. The distribution of a right truncated is one of the types of a single truncated that is restricted within a specific field and usually occurs when the specified period for the study is complete. Hence, this paper introduces Right Truncated Inverse Generalized Rayleigh Distribution (RTIGRD) with two parameters is introduced. Then, provided some properties such as; (probability density function, cumulative distribution function (CDF), survival function, hazard function, ‎rth moment, mean, variance, Moment Generating Function, Skewness, kurtosis, Median, and Mode for Right Truncated Inverse Generalized Rayleigh Distribution on [0,1].

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