[0, 1] Truncated Lomax – Uniform distribution with properties. Issue 8 (17th November 2019)

• Record Type: Journal Article
• Authors: Altawil, Jumana A.
• Is Part Of: Journal of interdisciplinary mathematics. Volume 22:Issue 8(2019)
• Page Start: 1415
• Page End: 1431
• Publication Date: 2019-11-17
• Subjects: Primary 60E05 -- Secondary 62P20; [0, 1] Truncated Lomax Distribution -- [0, 1] Truncated Lomax-Uniform Distribution -- Maximum Likelihood Estimator -- Stress-Strength model -- Shannon's entropy -- Relative entropy; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2019.1700928
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this paper, we produce a new of continuous distribution based on [0, 1] Truncated Lomax distribution, is called [0, 1] Truncated Lomax – Uniform distribution. The cumulative distribution function, the rth moment, the mean, the variance, the skewness, the kurtosis, the median, the characteristic function, the reliability function, the hazared rate function, the quantile function, the Shannon entropy function and Relative entropy function has been derived for the distribution. We know that the an element fails when it exceeds the stress of the corresponding strength. therefor, the [0, 1] Truncated Lomax-Uniform strength – stress model with different parameters has also been derived here. Finally, we proposed a study in Estimation for parameters of [0, 1] Truncated Lomax – Uniform distribution by using maximum likelihood estimation method and we used simulation to generate random variables to take four experiments for the default values of three real parameters with samples sizes ( n = 30, 60, 90, 120) and sample iteration ( S = 1000).