[0,1] TRUNCATED LOMAX –INVERTED GAMMA DISTRIBUTION WITH PROPERTIES

Authors:

Jumana A. Altawil,Saba N. Al-Khafaji,Ahmed HadiHussain,Sameer Annon Abbas,

DOI NO:

https://doi.org/10.26782/jmcms.2020.07.00003

Keywords:

[0,1] TLIGD,stress strength model, Shannon entropy and Relative entropy functions,

Abstract

We proposed  [0,1] truncated Lomax –Inverted Gamma ([0,1] TLIGD) distribution build on [0,1] truncated Lomax ([0,1] TLD) distribution. General expressions for the statistical properties are obtained, also The Shannon entropy , Relative entropy functions and  Stress- Strength model of the ([0,1] TLIGD)  are presented

Refference:

I. Abid, Salah , K. Abdulrazak, Russul, “[0, 1] truncated fréchet-gamma and inverted gam-ma distributions”, International Journal of Scientific World , 2017.
II. Eugene, N., Lee, C., & Famoye, F.,“Beta-normal distribution and its applications. Communications in Statistics-Theory and methods”,vol. 31(4), pp: 497-512, 2002.
III. Gradshteyn, I. S., & Ryzhik, I. M., “Table of integrals, series, and products”: Academic press,2014.
IV. Gupta, A. K., & Nadarajah, S., “On the moments of the beta normal distribution.Communications in Statistics-Theory and methods”, vol. 33(1), pp: 1-13, 2005.
V. Jamjoom, A., & Al-Saiary, Z., “Computing the moments of order Statistics from independent nonidentically distributed exponentiated Frechet variables”. Journal of Probability and Statistics, 2012.
VI. Jones, M., “Families of distributions arising from distributions of order statistics”. Test, vol. 13(1),pp :1- 43,2004.
VII. Maria do Carmo, S. L., Cordeiro, G. M., & Ortega, E. M., “A new extension of the normal distribution. Journal of Data Science”, vol. 13(2), pp: 385-408,2014.

View Download