On a less cumbersome method of estimation of  parameters of Lindley distribution by order statistics

M. R.  Irshad; R.  Maya

doi:https://doi.org/10.21307/stattrans-2018-032

On a less cumbersome method of estimation of parameters of Lindley distribution by order statistics

M. R. Irshad Department of Statistics, Cochin University of Science and Technology, Kochi-682 022, India. , R. Maya Department of Statistics, University College, Trivandrum-695 034, India Statistics in Transition new series, vol. 19, 2018, 4, pages: 597-620 Published online: 3 December 2018 https://doi.org/10.21307/stattrans-2018-032

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ABSTRACT

In this article, we have derived suitable U-statistics from a sample of any size ex-ceeding a specified integer to estimate the location and scale parameters of Lindley distribution without the evaluation of means, variances and co-variances of order statistics of an equivalent sample size arising from the corresponding standard form of distribution. The exact variances of the estimators have been also obtained.

KEYWORDS

Order statistics, Lindley distribution, Best linear unbiased estimator, U-statistics.

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