A novel zero-inflated Rayleigh distribution and its properties

Abstract

This paper introduces a flexible statistical model for analyzing zero-inflated continuous data, which involves a novel zero-inflated Rayleigh (ZIR) distribution. The moment, entropy, order statistics and other structural properties of this distribution are derived. Some interesting conclusions are drawn while discussing the interrelationships between various extropies. Parameters of the ZIR distribution are estimated by both moments estimation and maximum likelihood estimation, and the properties of these estimators are investigated.

Keywords

• Zero-inflated
• Rayleigh distribution
• Extropy
• Moment estimation
• Maximum likelihood estimation