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Thursday, October 5, 2017
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4:00pm [4:00pm]Dr. Rashmi Tiwari
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Speaker: Dr. Rashmi Tiwari, Department of Mathematics IIT Bombay Title: SOME ASPECTS OF MOMENTS OF ORDERED STATISTICS Abstract: Recurrence relations of moments which are useful to reduce the amount of direct computations quite considerably and usefully express the higher order moments of order statistics in terms of the lower order moments and hence make the evaluation of higher order moments easy. We have derived recurrence relations for single, double (product) and higher moments of various ordered random variables, like ordinary order statistics, progressively censored order statistics, generalized order statistics and dual generalized order statistics from some specific continuous distributions. It also deals with L-moments and TL-moments which are analogous of the ordinary moments. We have derived L-moments and TL-moments for some continuous distributions. These results have been applied to find the L-moment estimators and TL-moment estimators of the unknown parameters for some specific continuous distributions.

5:00pm