On a Discrete Analogue of Linear Failure Rate Distribution. Issue 3 (3rd July 2017)

• Record Type: Journal Article
• Authors: Kumar, Chandrakant; Tripathi, Yogesh Mani; Rastogi, Manoj Kumar
• Is Part Of: American journal of mathematical and management sciences. Volume 36:Issue 3(2017)
• Page Start: 229
• Page End: 246
• Publication Date: 2017-07-03
• Subjects: Discrete Rayleigh distribution -- geometric distribution -- hazard rate function -- second hazard rate distribution -- linear failure rate distribution; Operations research -- Periodicals; Management science -- Periodicals; Periodicals; 658.4034
• DOI: 10.1080/01966324.2017.1326859
• Languages: English
• ISSNs: 0196-6324

Abstract

SYNOPTIC ABSTRACT: In this article, the discrete version of a linear failure rate distribution is proposed. We study some of its distributional properties and reliability characteristics as well. This distribution has increasing hazard rate function. We estimate unknown model parameters using different methods of estimation like maximum likelihood, method of moments, proportions of zeros, and ones, proportion of zeros and moments. The performance of all the estimates is numerically studied using simulations. We illustrate applications of the proposed model in practice by analyzing two real data sets.