Muth Distribution and Estimation of a Parameter Using Order Statistics


  • Muhammed Rasheed Irshad Cochin University of Science and Technology
  • Radhakumari Maya University of Kerala
  • Sasikumar Padmini Arun University of Kerala



Order statistics, Muth distribution, Best linear unbiased estimator, U-statistics


In this work, we have considered a lifetime distribution namely Muth distribution and pointed out instances where it appears as a good model to study the stochastic nature of the variable under consideration. We have derived the best linear unbiased estimator (BLUE) of the scale parameter of the Muth distribution based on order statistics for some known values of the shape parameter.We have further estimated the scale parameter of Muth distribution by U-statistics  based on best linear functions of order statistics as kernels. The efficiency of the BLUE relative to the usual unbiased estimator has been also evaluated. An illustration describing the performance of U-statistics estimation method when compared with the classical maximum likelihood method is also given.


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How to Cite

Irshad, M. R. ., Maya, R. ., & Arun, S. P. (2021). Muth Distribution and Estimation of a Parameter Using Order Statistics. Statistica, 81(1), 93–119.