The ₃F₂ with Complex Parameters as Generating Function of Discrete Distribution

Abstract

A new discrete family of probability distributions that are generated by the ₃ F ₂ function with complex parameters is presented. Some of the properties of this new family are studied as well as methods of estimation for its parameters. It affords considerable flexibility of shape which turns the distribution into an appropriate candidate for modeling data that cannot be adequately fitted by classical families with fewer parameters. Finally, three examples in the fields of Agriculture and Education are included in order to show the versatility and utility of this distribution.

Keywords:

• Discrete distributions
• Data fit
• Hypergeometric functions

Mathematics Subject Classification:

• Primary 60E05
• Secondary 62E15