Donsker's Theorem for Discretized Data
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- Nishiyama Yoichi
- The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106-8569, Japan.
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Abstract
In the Kolmogorov-Smirnov theorem, the underlying distribution is assumed to be a continuous distribution. On the other hand, real data in practice is always given in a discretized (rounded) form. In this paper we establish a Donsker type theorem in the fashion of the modern empirical process theory to obtain a (right) Kolmogorov-Smirnov test for discretized data.
Journal
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- JOURNAL OF THE JAPAN STATISTICAL SOCIETY
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JOURNAL OF THE JAPAN STATISTICAL SOCIETY 38 (3), 505-515, 2008
THE JAPAN STATISTICAL SOCIETY
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Details 詳細情報について
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- CRID
- 1390282680263973760
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- NII Article ID
- 110007122367
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- NII Book ID
- AA1105098X
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- ISSN
- 13486365
- 18822754
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- MRID
- 2510951
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- NDL BIB ID
- 10168024
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed