1. A novel zero-inflated Rayleigh distribution and its properties.
- Author
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Fuxiang, Liu, Jianing, Liu, and Peng, Xu
- Abstract
This paper introduces a flexible statistical model for analyzing zero-inflated continuous data, which involves a novel zero-inflated Rayleigh (Z I R) 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 Z I R distribution are estimated by both moments estimation and maximum likelihood estimation, and the properties of these estimators are investigated. • A new model is obtained by mixing Rayleigh distribution and degraded distribution. • This model can be effectively applied to continuous datasets with excessive zeros. • Some intriguing conclusions about entropy and extropy of the distribution are drawn. • Both moment estimation and maximum likelihood estimation exhibit good consistency. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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