limit theorems for randomly selected adjacent order statistics from a pareto distribution
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2005
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Abstract
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 limits for weighted sums of the random variables
Xn(i+1)/Xn(i) exist, where we place a prior distribution on the selection of each of these possible pairs of order statistics.
| Reference Key |
adler2005internationallimit
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|---|---|
| Authors | ;André Adler |
| Journal | structural engineering and mechanics |
| Year | 2005 |
| DOI |
10.1155/IJMMS.2005.3427
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| URL | |
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