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Peakedness of Weighted Averages of Jointly Distributed Random Variables

Wai Chan, Dong Ho Park and Frank Proschan
Additional contact information
Wai Chan: Ohio State University, Department of Statistics
Dong Ho Park: University of Nebraska, Department of Statistics
Frank Proschan: Florida State University, Department of Statistics

Chapter 2 in Contributions to Probability and Statistics, 1989, pp 58-62 from Springer

Abstract: Abstract This note extends the Proschan (1965) result on peakedness comparison for convex combinations of i.i.d. random variables from a PF2 density. Now the underlying random variables are jointly distributed from a Schur-concave density. The result permits a more refined description of convergence in the Law of Large Numbers.

Keywords: Random Vector; Convex Combination; Joint Density; Weighted Aver; Eral Version (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3678-8_5

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DOI: 10.1007/978-1-4612-3678-8_5

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