Limit theorems for randomly selected adjacent order statistics from a Pareto distribution

Consider independent and identically distributed random variables {Xnk,  1≤k≤m, n≥1} from the Pareto distribution. We randomly select two adjacent order statistics from each row, Xn(i) and Xn(i+1), where 1≤i≤m−1. Then, we test to see whether or not strong and weak laws of large numbers with nonzero...

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Bibliographic Details
Main Author: André Adler
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3427
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