A New Alpha Power Cosine-Weibull Model with Applications to Hydrological and Engineering Data

Modifying the existing probability models in literature and introducing new extensions of is a prominent interesting research topic. However, most recent era, via trigonometry methods have received great attention. This paper also offers novel trigonometric version Weibull model called alpha power cosine-Weibull (for short, “NACos-Weibull”) distribution. The NACos-Weibull distribution introduced by incorporating cosine function. Certain distributional properties are derived. estimators derived implementing maximum likelihood approach. Three simulation studies provided for different values parameters Finally, to demonstrate effectiveness model, three applications from hydrological engineering sectors considered.