MOMENTS OF ORDER STATISTICS FROM DOUBLY TRUNCATED BURR XII DISTRIBUTION: A COMPLEMENTARY NOTE WITH APPLICATIONS

Abstract

By using some distributional properties, we obtain some results on recurrence relations
for single and product moments of order statistics from doubly truncated
Burr XII distribution. These results complement earlier results of Begum and
Parvin [2002], as well as, generalize results obtained by Balakrishnan and Gupta
[1998], Balakrishnan et al. [1994], and Saran and Pushkarna [1999]. Simulation
results are consistent with those obtained by Begum and Parvin [2002] and are
given for single and product moments in Tables 1 and 2. Applications to least
squares estimation of the Best Linear Unbiased Estimates of location-scale parameters
involving singly and doubly censored life-testing data are considered.
The estimation results compare favorably with those by Balakrishnan and Gupta
[1998] in estimating the scale parameter of the censored data using the exponential
distribution.