Wrapped size biased gamma Lindley distribution with application

This article introduces a new circular distribution, the wrapped size-biased gamma Lindley distribution.The article elucidates the properties of this newly proposed distribution, providing explicit expressions for key statistical measures such as the characteristic function, trigonometric moments, resultant length, mean, circular variance, standard deviation, skewness, and kurtosis.Estimation of model parameters is conducted using the maximum likelihood and weighted least squares methods.Lastly, the article applies the model to real-world data and compares its goodness of fit against the established model in the existing literature.