New Circular Distribution with an Application to Biology
Abstract
In this paper, we introduce a new circular distribution known as the wrapped new weighted exponential distribution (WNWE) is introduced. We derive an explicit expression for its probability density function and establish closed-form expressions for the distribution function, characteristic function, and trigonometric moments. Furthermore, we discuss the properties of the proposed model. We employ the method of maximum likelihood estimation to estimate the parameters. To demonstrate the applicability of the proposed distribution, we analyze a real dataset consisting of 50 starhead top minnows.
Keywords
Circular data, Weighted exponential distribution, Characteristic function, Moments, Wrapped distributions
Supporting Institution
No supporting Institution
Project Number
NA
References
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