Abstract:In several applications, the assumption of normality is often violated in data with some level of skewness, so skewness affects the mean’s estimation. The class of skew–normal distributions is considered, given their flexibility for modeling data with asymmetry parameter. In this paper, we considered two location parameter (μ) estimation methods in the skew–normal setting, where the coefficient of variation and the skewness parameter are known. Specifically, the least square estimator (LSE) and the best unbias… Show more
“…Contreras-Reyes [3] considers the two methods for the location parameter estimation of skew-normal distribution: the least square estimator and the best unbiased estimator. In this process, the author presents two lower bounds for differential entropy and obtains both the lower and upper bounds for the Fisher information of the location parameter.…”
This Special Issue is a subsequent edition of a previous collection that focused on the notion of distance in two major fields: Distance in Information and Statistical Physics Volume 2 [...]
“…Contreras-Reyes [3] considers the two methods for the location parameter estimation of skew-normal distribution: the least square estimator and the best unbiased estimator. In this process, the author presents two lower bounds for differential entropy and obtains both the lower and upper bounds for the Fisher information of the location parameter.…”
This Special Issue is a subsequent edition of a previous collection that focused on the notion of distance in two major fields: Distance in Information and Statistical Physics Volume 2 [...]
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