A New Zero-Truncated Version of the Poisson Burr XII Distribution: Characterizations and Properties

Abstract

In this work, a new four-parameter zero-truncated Poisson Topp Leone Burr XII distribution is defined and studied. Various structural mathematical properties of the proposed model including ordinary and incomplete moments, residual and reversed residual life functions, generating functions, order statistics are investigated. Some useful characterizations are also presented.

Keywords

• Zero-truncated Poisson
• Poisson Topp Leone
• Burr XII distribution
• simulation
• characterizations