Order Statistics from the Ishita distribution and Associated Inference

Abstract

Ishita distribution proposed by Shankar and Shukla (2017) is useful in modelling data from biomedical science and engineering and it is also useful for the analysis of Stress-strength reliability of a component. It gives the best fit than most of the distributions such as Lindley, exponential and Akash distributions. In this paper, we have derived the recurrence relations and exact expressions for single and product moments of order statistics from Ishita distribution. By using exact expressions, we have tabulated the means, variances and covariance’s of order statistics from Ishita distribution. Further, using these moments, we have obtained the best linear unbiased estimators (BLUEs) for the location and scale parameters of the Ishita distribution based on the type-II censored samples.