Bootstrap Methods for Error Rate Estimation in Discriminant Analysis

  • KONISHI S
  • HONDA M
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Abstract

v Ž|1979"N ‚ÉB.Efron‚É ‚ae‚Á‚ĕЉ ‚ê ‚½ ƒu•[ ƒgƒXƒgƒ‰ ƒbƒv-@‚Í,"Á 'è ‚Ì •ê •W'c Šm-¦•ª •z ‚ð 'z 'è ‚· ‚é ‚± ‚AE ‚È ‚-,Ží •X‚Ì •" 'è-Ê ‚Ì OEë•· ‚ð •" 'l "I ‚É•] ‰¿ ‚· ‚é ‚± ‚AE‚ª ‚Å‚« ‚é ‚AE ‚¢ ‚¤ ‚± ‚AE‚Å'•-Ú ‚ð •W‚ß ‚½.‚± ‚Ì ƒRƒ\ ƒs ƒ… •[ ƒ^‚Ì-˜-p ‚ð 'O'ñ ‚AE‚µ‚½"• OEv "I •" 'l OEvŽZ-@‚Í •A‚» ‚Ì-•˜_ OE¤‹ † ‚AE ‹¤ ‚É-l•X‚È•ª-ì ‚Ö‚Ì "K-p ‚ª OEv‚ç‚ê ‚Ä‚« ‚½."» •Ê •ª •Í ‚É ‰-‚¢ ‚Ä‚Í,‚» ‚̈ê‚Ìˆê ‚Â‚Ì •d-v‚È-â'è ‚Å‚ ‚é OEë "» •Ê-¦•" 'è ‚Ö‚Ì ‰ž-p ‚ª ŽŽ‚Ý ‚ç‚ê,ƒu •[ ƒg ƒX ƒgƒ‰ ƒbƒv-@‚Ì-L-p •« ‚AE ‹¤ ‚É-â'è "_ ‚àŽw "E ‚³ ‚ê ‚Ä ‚«‚½.-{•e ‚Í,"» •Ê •ª •Í ‚ɉ-‚¯ ‚éOEë"»•Ê-¦ •" 'è ‚Ö‚Ì ƒu•[ ƒgƒX ƒgƒ‰ ƒbƒv-@‚Ì ‰ž-p ‚É•Å"_ ‚ð ‚ ‚Ä,‚» ‚Ì Šî-{"I ‚È•l ‚¦ •û ‚AE •û-@ ˜_ ‚ð ‚Å ‚¬ ‚é ‚¾‚¯ "• ˆê "I ‚È-• ˜_ 'Ì OEn‚Ì ‚à ‚AE‚Å•®-•,OEŸ "¢ ‚µ,•¹ ‚¹ ‚ÄŠÖ˜AOE¤ ‹ † ‚Ì •Љî‚ð •s ‚¤ ‚± ‚AE ‚ð-Ú "I ‚AE‚· ‚é.‚± ‚ê ‚É ‚ae ‚Á‚Ä,'Q ‹ß-• ˜_ ‚É Šî ‚à ‚-‰ð •Í "I ƒAƒvƒ• •[ ƒ` ‚AEƒu•[ ƒgƒXƒgƒ‰ ƒbƒv-@ ‚É ‚ae ‚é•" 'l "I ƒAƒv ƒ• •[ ƒ` ‚AE‚Ì ŠÖOEW ‚ð-¾‚ç ‚©‚É ‚µ,"• OEv "I •" 'l OEvŽZ-@‚Ì-L OEø •« ‚ɂ‚¢ ‚Ä•l Ž@ ‚· ‚é.‚Ü ‚½,'½ •Ï-Ê:•³ ‹K•« ‚Ì ‚à ‚AE‚Å"± ‚©‚ê ‚½•]-ˆ‚Ì OE‹‰Ê ‚ð,ƒu •[ ƒgƒXƒgƒ‰ƒbƒv-@ ‚̘g‚̘g 'g ‚Ý‚Ì ' † ‚Å•ÄOEŸ "¢ ‚· ‚é.‚³ ‚ç‚É,ƒ‚ ƒ\ ƒe ƒJ ƒ‹ ƒ•ŽÀOE± ‚É ‚ae‚Á‚ÄOEë "» •Ê-¦‚Ì Ží •X‚Ì •" 'è-@‚ð "ä Šr ‚µ,Še Žè-@‚Ì "Á'¥ ‚ð•] ‰¿ OEŸ "¢ ‚· ‚é.•Å OEã‚É,ˆã-à ‚É‚¨‚¯‚É‚¨‚¯ ‚éŠÓ•Ê •f 'f ƒf •[ ƒ^‚Ö‚Ì "K-p ‚ð 'Ê ‚µ‚Ä,•ü OE`"» •Ê •ª •Í ‚Ì OEë "» •Ê-¦ •" 'è ‚ð ŽŽ‚Ý‚é, 1.‚Í ‚ ¶ ‚ß ‚É "» •Ê •ª •Í ‚ð ŽÀ•s ‚· ‚é ‚É "-‚½ ‚Á‚Ä‚Í,‚ ‚ç ‚© ‚ ¶ ‚ß ‚Ç ‚Ì OEQ ‚É'® ‚· ‚é ‚©•ª ‚© ‚Á‚Ä‚¢ ‚é ŠÏ 'ª ƒf •[ ƒ^ ‚ÉŠî ‚Ã ‚-"» •Ê •û Ž®‚Ì •Ý 'è ‚AE,•«-ˆŠÏ 'ª ‚³ ‚ê ‚é ƒf •[ ƒ^‚É 'Î ‚· ‚é OEë"» •Ê-¦‚Ì •" 'è ‚ª •d-v‚È-â 'è ‚AE‚È ‚é.ŽÀ •Û-â'è ‚Ö‚Ì "K-p‚ª •Å ‚à ŽŽ‚Ý ‚ç ‚ê ‚Ä‚¢ ‚é ‚Ì ‚Í,•ü OE`"» •Ê ŠÖ•" ‚¨‚ae‚¨‚ae ‚Ñ"ñ ŽŸ"» •Ê ŠÖ•" ‚ÉŠî ‚Ã ‚-•ª •Í Žè-@ ‚AEŽv‚í ‚ê ‚é.‚± ‚ê ‚ç ‚Ì "» •Ê ŠÖ•" ‚É ‚‚¢ ‚Ä ‚Í,'½ •Ï-Ê •³ ‹K•« ‚ ‚é ‚¢ ‚Í "™•ª ŽU‹¤ •ª ŽU•« ‚© ‚ç ‚Ì˜¨-‚̘¨‚̘¨-£‚É 'Î ‚· ‚é ŠaeOE'•« ‚È ‚Ç‚É ‚‚¢ ‚Ä-l•X‚ÈŠp "x ‚© ‚ç OE¤‹ † ‚ª •s ‚í ‚ê,"K-p•ã ‚Ì-¯ˆÓ"_ ‚à'ŠÜ‚ß ‚© ‚È ‚è•®-•‚³ ‚ê

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APA

KONISHI, S., & HONDA, M. (1992). Bootstrap Methods for Error Rate Estimation in Discriminant Analysis. Japanese Journal of Applied Statistics, 21(2), 67–100. https://doi.org/10.5023/jappstat.21.67

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