Two Sample Problem for Rounded Data

• Nishiyama Yoichi

  The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan.

抄録

This paper deals with the two sample problem for rounded data in the i.i.d. model. It is well known that under the null hypothesis the two sample Kolmogorov-Smirnov statistic without rounding converges in distribution to the supremum of a standard Brownian bridge. We establish that a natural statistic of the Kolmogorov-Smirnov type based on the rounded data converges in distribution to the same limit as the full observation case. Our result is based on ``Donsker's theorem for discretized data'' given by Nishiyama (2008, J. Japan Statist. Soc.).

収録刊行物

• ＪＯＵＲＮＡＬ　ＯＦ　ＴＨＥ　ＪＡＰＡＮ　ＳＴＡＴＩＳＴＩＣＡＬ　ＳＯＣＩＥＴＹ

  ＪＯＵＲＮＡＬ　ＯＦ　ＴＨＥ　ＪＡＰＡＮ　ＳＴＡＴＩＳＴＩＣＡＬ　ＳＯＣＩＥＴＹ 39 (2), 233-238, 2009

  日本統計学会

キーワード

• Discretized observation
• empirical process
• two sample problem
• invariance principle

詳細情報

• CRID: 1390282680263585792
• NII論文ID: 10025992104
• NII書誌ID: AA1105098X
• DOI: 10.14490/jjss.39.233
• ISSN: 13486365
• ISSN: 18822754
• MRID: 2722690
• NDL書誌ID: 10579261
• Web Site: http://id.ndl.go.jp/bib/10579261
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10579261
• Web Site: https://www.jstage.jst.go.jp/article/jjss/39/2/39_2_233/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可