The Uniform Poisson–Ailamujia Distribution: Actuarial Measures and Applications in Biological Science

We propose a new asymmetric discrete model by combining the uniform and Poisson–Ailamujia distributions using binomial decay transformation method. The distribution, named Poisson–Ailamujia, due to its flexibility is good alternative well-known Poisson geometric for real data applications in public health, biology, sociology, medicine, agriculture. Its main statistical properties are studied, including cumulative hazard rate functions, moments, entropy. distribution considered be suitable modeling purposes; parameter estimated eight classical methods. Three biological presented herein.