Randomly Weighted Averages on Order Statistics

Homei Hajir; Hasanzadeh Leila; Mina Ghasemi

doi:10.4236/am.2013.49181

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Randomly Weighted Averages on Order Statistics

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DOI: 10.4236/am.2013.49181 4,257 Downloads 5,637 Views Citations

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Homei Hajir, Hasanzadeh Leila, Mina Ghasemi

Affiliation(s)

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

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.

KEYWORDS

Two-Sided Power; Moment; Weighted Averages; Power Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

H. Hajir, H. Leila and M. Ghasemi, "Randomly Weighted Averages on Order Statistics," Applied Mathematics, Vol. 4 No. 9, 2013, pp. 1340-1346. doi: 10.4236/am.2013.49181.

References

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