Год выпуска: 2010 Автор: HASAN MATEEN-UL ISLAM and MAROOF AHMAD KHAN Издательство: LAP Lambert Academic Publishing Страниц: 140 ISBN: 9783843379434
Описание
In applied statistics, one observes a random quantity X, a number of times and based on these observations, one would like to conclude facts about the distribution function F(x) of X. The only method of finding distribution function F(x) exactly, which avoids the subjective choice, is a characterization theorem. Important consequence of characterization theorem is that these results help us in better understanding the structures and implications of the choice of distribution for a special problem. Regarding moments of generalized order statistics (gos), a concept introduced by Kamps (1995). Order and record statistics are particular cases of gos. Recurrence relations have great importance due to these reasons: (i). Reduce the amount of direct computations and hence reduce the time and labour (ii). They express the higher order moments in terms of the lower order moments and hence make the evaluation of higher order moments easy (iii). Provide simple checks to test ...
