A Constant on a Uniform Bound of a Combinatorial Central Limit Theorem
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Abstract
Let n be a positive integer and Y(i, j), i, j = 1, ..., n, be random variables with finite fourth moments. Let ? be a randompermutation on {1, ..., n} which independent of Y(i, j)’s. In this paper, we use Stein’s method and the technique from(Laipaporn, K., 2008) to give a uniform bound in a combinatorial central limit theorem of W =n *i=1Y(i, ?(i)). For asufficient large n, we yield the rate27.72?n. This constant is better than the result in (Neammanee, K., 2005).Keywords: Uniform bound, Combinatorial central limit theorem, Stein’s method, Random permutation
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.005 | 0.006 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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