The Discrete Inverse Burr Distribution with Characterizations, Properties, Applications, Bayesian and Non-Bayesian Estimations

A new one-parameter heavy tailed discrete distribution with infinite mean is defined and studied. The probability mass function of the can be "unimodal right skewed" its failure rate monotonically decreasing. Some relevant properties are discussed. characterizations based on: (i) conditional expectation a certain random variable (ii) in terms reversed hazard presented. Different Bayesian non-Bayesian estimation methods described compared using simulations two real data applications given. model used to carious teeth counts cysts kidneys datasets, it outperforms many well-known competitive models.