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Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations
The limit behavior is studied for the distributions of normalized U -and V -statistics of an arbitrary order with canonical (degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying φ -or α -mixing. The corresponding limit distributions are repr...
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| Published in: | Siberian advances in mathematics 2008, Vol.18 (4), p.242-257 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c2030-a2176e02dc7009a438cf50bd98e6ab0d099dcc1f48549c790bef78f4db1f66af3 |
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| cites | cdi_FETCH-LOGICAL-c2030-a2176e02dc7009a438cf50bd98e6ab0d099dcc1f48549c790bef78f4db1f66af3 |
| container_end_page | 257 |
| container_issue | 4 |
| container_start_page | 242 |
| container_title | Siberian advances in mathematics |
| container_volume | 18 |
| creator | Borisov, I. S. Volodko, N. V. |
| description | The limit behavior is studied for the distributions of normalized
U
-and
V
-statistics of an arbitrary order with
canonical
(degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying
φ
-or
α
-mixing. The corresponding limit distributions are represented as infinite multilinear forms of a centered Gaussian sequence with a known covariance matrix. |
| doi_str_mv | 10.3103/S1055134408040020 |
| format | article |
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U
-and
V
-statistics of an arbitrary order with
canonical
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φ
-or
α
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U
-and
V
-statistics of an arbitrary order with
canonical
(degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying
φ
-or
α
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U
-and
V
-statistics of an arbitrary order with
canonical
(degenerate) kernels, based on samples of increasing sizes from a stationary sequence of observations satisfying
φ
-or
α
-mixing. The corresponding limit distributions are represented as infinite multilinear forms of a centered Gaussian sequence with a known covariance matrix.</abstract><cop>Heidelberg</cop><pub>Allerton Press, Inc</pub><doi>10.3103/S1055134408040020</doi><tpages>16</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1055-1344 |
| ispartof | Siberian advances in mathematics, 2008, Vol.18 (4), p.242-257 |
| issn | 1055-1344 1934-8126 |
| language | eng |
| recordid | cdi_crossref_primary_10_3103_S1055134408040020 |
| source | Springer Link |
| subjects | Mathematics Mathematics and Statistics |
| title | Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations |
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