Lower partial moments plays an important role in the analysis of risks and
in income/poverty studies. In the present paper, we further investigate its importance
in stochastic modeling and prove some characterization theorems arising out of it. We
also identify its relationships with other important applied models such as weighted
and equilibrium models. Finally, some applications of lower partial moments in
poverty studies are also examined
Description:
METRON - International Journal of Statistics
2008, vol. LXVI, n. 2, pp. 223-242
Maya, S S; Dr.Sunoj, S M(Cochin University of Science and Technology, October , 2007)
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Abstract:
The present study gave emphasis on characterizing continuous probability distributions
and its weighted versions in univariate set up. Therefore a possible work in this direction
is to study the properties of weighted distributions for truncated random variables in
discrete set up. The problem of extending the measures into higher dimensions as well as
its weighted versions is yet to be examined. As the present study focused attention to
length-biased models, the problem of studying the properties of weighted models with
various other weight functions and their functional relationships is yet to be examined.
Description:
Department of Statistics,
Cochin University of Science and Technology