Discrete Single-Factor Extension of the Exponential Distribution: Features and Modeling

The importance of counting data modeling and its applications to real-world phenomena has been highlighted in several research studies. present study focuses on a one-parameter discrete distribution that can be derived via the survival discretization approach. proposed model explicit forms for statistical properties. It applied discuss asymmetric “right skewed” with long “heavy” tails. Its failure rate function used monotonically decreasing or unimodal shape. Further, it utilized as probability tool over- under-dispersed data. Various estimation techniques are reported discussed detail. A simulation is performed test property estimator. Finally, three real sets analyzed prove notability introduced model.