Randomly Weighted Averages on Order Statistics

¹ Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

² Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

³ Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Applied Mathematics·Volume 04 (2013)·Pages 1340–1346·Published 30 August 2013·DOI10.4236/am.2013.49181

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.

KeywordsTwo-Sided PowerMomentWeighted AveragesPower Distribution

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Randomly Weighted Averages on Order Statistics

Abstract

References (5)