The Cos-Poisson model with a novel count regression analysis

In this paper, we propose a new generalization of the Poisson distribution by using concept weighted distribution; trigonometric weight with cosine function is used. We derive some distributional properties distribution, such as cumulative function, moment generating factorial moments, and index dispersion. Then, related model considered for modeling purposes, estimation parameters performed via several methods. Zero-inflated count regression analysis introduced distribution. Finally, provide two applications obtained results on practical data sets.