On a Discrete Analogue of Linear Failure Rate Distribution

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.

KEYWORDS AND PHRASES:

• Discrete Rayleigh distribution
• geometric distribution
• hazard rate function
• second hazard rate distribution
• linear failure rate distribution

Acknowledgments

We are thankful to the editor and reviewers for their encouraging and constructive comments, which led to significant improvement in the presentation of this article.

Funding

The author Yogesh Mani Tripathi gratefully acknowledges the financial support for this research work under grant SR/S4/MS: 785/12 from the Department of Science and Technology, India.