The Two-Parameter Exponentiated-Sine Modified Lindley Distribution: A Flexible Model for Reliability Analysis

Rather, Khalid Ul Islam; Jan, Mahvish; Sharkawy, Walaa

doi:10.22080/cjms.2026.30758.1787

The Two-Parameter Exponentiated-Sine Modified Lindley Distribution: A Flexible Model for Reliability Analysis

Document Type : Research Articles

Authors

¹ Sher-e-Kashmir univeristy of agricultural sciences and technology jammu

² Department of Statistics, University of Kashmir, 190006, Srinagar, India.

³ Department of Mathematics, Faculty of Science, Cairo Univeristy, Egypt

10.22080/cjms.2026.30758.1787

Abstract

This paper introduces a two-parameter generalization of the sine-modified Lindley distribution by incorporating a shape parameter α. This extended model retains the flexibility of the sine-modified Lindley distribution while enhancing its ability to model a wider range of lifetime and reliability data. The distribution’s properties, including probability density function, cumulative distribution function, survival function, moments, and hazard rate function, are derived. Maximum likelihood estimation is used for parameter estimation, and its performance is evaluated through simulations. The model is applied to real-world datasets and compared with existing lifetime distributions using goodness-of-fit criteria. Results demonstrate its superiority in modeling skewed and heavy-tailed data.

Keywords