L-Moments and TL - Moments Estimation and Recurrence Relations for Higher Moments of Order Statistics from Lindley Distribution

Order Statistics from Lindley Distribution

Abstract

In this paper, we have obtained L-moments and TL-moments of Lindley distribution and used them to find the L-moments and TL-moments estimator of the parameter of the Lindley distribution. Also we have obtained the recurrence relations for higher moments of order statistics arising from doubly truncated Lindely distribution which enable one to obtain all the single, double (product) and higher moments of any order of all order statistics for any sample size in a simple recursive manner. Also, the corresponding recurrence relations for untruncated Lindley distribution have been obtained as special cases.