Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference

Abstract

In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) for the parameters of inverted Kumaraswamy distribution based on dgos are deduced. Also, we obtained the results for order statistics and lower record values by putting some specific values of the parameters of dgos. Finally, a simulation study is carried out for illustrative purpose.

Keywords

• Moments
• Dual generalized order statistics
• Maximum likelihood estimation
• Uniformly minimum variance unbiased estimation