A New Exponentiated Generalized Linear Exponential Distribution: Properties and Application. Issue 1 (1st January 2021)

• Record Type: Journal Article
• Authors: Poonia, Neeraj; Azad, Sarita
• Is Part Of: RMS: Research in mathematics & statistics. Volume 8:Issue 1(2021)
• Publication Date: 2021-01-01
• Subjects: Generalized linear exponential distribution -- hazard rate function -- maximum likelihood estimator -- order statistics; Mathematics -- Periodicals; Statistics -- Periodicals; 510
• DOI: 10.1080/27658449.2021.1953233
• Languages: English
• ISSNs: 2765-8449

Abstract

Abstract: A new exponentiated generalized linear exponential distribution (NEGLED) is introduced, which poses increasing, decreasing, bathtub-shaped, and constant hazard rate. Its various mathematical properties such as moments, quantiles, order statistics, hazard rate function (HRF), stress–strength parameter, etc. are derived. Five distributions, exponential distribution (ED), generalized linear exponential distribution (GLED), Rayleigh distribution (RD), Weibull distribution (WD), and generalized linear failure rate distribution (GLFRD) were used for comparison with NEGLED model using a dataset of blood cancer patients. Estimation of the parameters using the maximum likelihood estimation (MLE) method was obtained and to evaluate their performance a simulation study has been carried out. Finally, a dataset of 40 Leukemia patients was analysed for illustrative purpose proving that the NEGLED outperforms compared distributions.