TITLE:
Randomly Weighted Averages on Order Statistics
AUTHORS:
Homei Hajir, Hasanzadeh Leila, Mina Ghasemi
KEYWORDS:
Two-Sided Power; Moment; Weighted Averages; Power Distribution
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.9,
September
20,
2013
ABSTRACT: We study a well-known problem concerning a random variable uniformly
distributed between two independent random variables. Two different
extensions, randomly weighted average on independent random variables and
randomly weighted average on order statistics, have been introduced for this
problem. For the second method, two-sided power random variables have been
defined. By using classic method and power technical method, we study some
properties for these random variables.