An Extension of Akash Distribution by Using Biweight Kernel function


Abstract


In this paper, we introduce new continuous distribution called Biweight- Akash distribution. This distribution derived by using the Akash distribution and the Biweight kernel function. Several properties of Biweight-Akash dis- tribution are studied such as the reliability and hazard rate functions, the moments, Re‘nyi entropy. The maximum likelihood estimators of the un- known parameter is derived. A simulation study is introduced for different values of the parameter distribution. A comparison between the performance of the new distribution and well-known distributions using a real data sets are illustrated. The new distribution fits more than Exponential, Lindley and Akash distributions.


DOI Code: 10.1285/i20705948v17n2p346

Keywords: Akash Distribution, Biweight kernel function, Moments and entropy.

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