Strong laws of large numbers for arrays of row-wise exchangeable random elements
| Autor: | Robert L. Taylor, Ronald F. Patterson |
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| Rok vydání: | 1985 |
| Předmět: |
Exchangeable random variables
Discrete mathematics lcsh:Mathematics and Kernel density estimates rademacher type p Banach space exchangeability Type (model theory) lcsh:QA1-939 Separable space Combinatorics Mathematics (miscellaneous) Distribution (mathematics) Convergence of random variables martingales Law of large numbers random elements almost sure convergence laws of large numbers Triangular array Mathematics |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 8, Iss 1, Pp 135-144 (1985) |
| ISSN: | 1687-0425 0161-1712 |
| Popis: | Let{Xnk,1≤k≤n,n≤1}be a triangular array of row-wise exchangeable random elements in a separable Banach space. The almost sure convergence ofn−1/p∑k=1nXnk,1≤p<2, is obtained under varying moment and distribution conditions on the random elements. In particular, strong laws of large numbers follow for triangular arrays of random elements in(Rademacher) typepseparable Banach spaces. Consistency of the kernel density estimates can be obtained in this setting. |
| Databáze: | OpenAIRE |
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