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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO /*14 ࿦จ঺հ Kenji Hayashida

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*OUSPEVDUJPO 3 65 7 1SFGFSFODF.BUSJY 6TFS$PF⒏DJFOU .BUSJY 'BDUPS.BUSJY  º /Ϣʔβ਺ɺ.঎඼਺ɺ%Ҽࢠ਺ / . / % % .

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*OUSPEVDUJPO طଘख๏ ख๏ ֓ཁ ֬཰తͳҼࢠϞσϧ ධՁม਺ͱӅΕม਺͕௚઀Өڹ͢ ΔΑ͏ͳάϥϑΟΧϧϞσϧ ௿࣍ݩۙࣅ ೋ৐࿨ڑ཭Λ࠷খԽͯ͠ɺ3 657ͱͳΔΑ͏ͳ6 7Λݟ͚ͭΔ ϊϧϜਖ਼ଇԽ 6ɺ7ͷϊϧϜʹϖφϧςΟΛ՝͠ ͯεύʔεͳߦྻΛݟ͚ͭΔ ˞ਤ͸3FGFSFODFΑΓൈਮ

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*OUSPEVDUJPO طଘख๏͸࣮༻తʹ͸੒ޭͱ͸ݴ͑ͳ͍ ڊେͳσʔληοτʹରͯ͠͏·͘εέʔϧͰ͖ͳ͍ ঎඼ධՁͷճ਺͕গͳ͍ϢʔβͷQSFEJDUJPOʹۤઓ ౾஌ࣝ $'ͷίϛϡχςΟͰ͸঎඼ධՁͷճ਺͕গͳ͍ϢʔβΛ͋Β͔͡ Ίআڈͯ͠σʔληοτΛ࡞͍ͬͯΔʢͨʁʣΒ͍͠ FY .PWJF-FOTɺ&BDI.PWJF /FUqJYͷσʔληοτ͸ϨϏϡʔ݅਺͕গͳ͍ʢ݅ະຬʣϢʔβ΋ؚΉ ΑΓݱ࣮తͳσʔληοτʂ

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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' /Ϣʔβ਺ .өը਺ 3JKϢʔβJͷөըK΁ͷධՁʢධՁ͸,ͷ੔਺ʣ 6㱨3%º/Ϣʔβજࡏม਺ 7㱨3%º.өըજࡏม਺ 3.4&Λ࠷খԽ͢ΔΑ͏ʹΨ΢εϊΠζΛؚΉઢܗϞσϧΛ࠾༻ *JKϢʔβJ͕өըKΛධՁ͍ͯ͠Ε͹ɺͯ͠ͳ͚Ε͹

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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' Ψ΢ε෼෍ ີ౓ؔ਺ ର਺ີ౓ؔ਺ f(x) = 1 p 2⇡ 2 exp ✓ (x µ) 2 2 2 ◆ ln f ( x ) = 1 2 ln 2 ⇡ 2 ( µ x )2 2 2 ର਺ࣄޙ֬཰

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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' ϋΠύʔύϥϝʔλΛݻఆ͠ɺࣄޙ֬཰࠷େԽ ҎԼͷؔ਺&ͷ࠷େԽͱಉ஋ ͨͩ͠ ࠷ٸ߱Լ๏Ͱہॴղ͕͑ΒΕΔ

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1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 1.' QSFEJDUJPOͷͱ͖ʹ஋͕< ,>ͷൣғʹೖΒͳ͍ͱࠔΔͷͰɺϩδεςΟοΫؔ ਺ Λ͔·ͤΔ ͞ΒʹධՁ஋΋ҎԼͷΑ͏ʹϚοϐϯά͓ͯ͘͜͠ͱͰɺඞͣൣғ಺ʹ͓͞·Δ

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"VUPNBUJD$PNQMFYJUZ$POUSPM GPS1.'.PEFMT Ϟσϧͷෳࡶ౓ͷௐ੔͕ඞཁ  જࡏϕΫτϧͷ࣍ݩ਺Λม͑Δํ๏ɺσʔληοτ͕ภ͍ͬͯΔ৔߹ʢϢʔβʹ ΑͬͯධՁ਺͕ҟͳΔʣɺෆద੾ɻ  Е6ɺЕ7Ͱෳࡶ౓Λίϯτϩʔϧ͢Δํ͕ॊೈ  $SPTT7BMJEBUJPOతʹύϥϝʔλαʔν͢Δͷ͸ܭࢉ࣌ؒతʹͭΒ͍  ϋΠύʔύϥϝʔλʹࣄલ෼෍Λಋೖ  ύϥϝʔλɺϋΠύʔύϥϝʔλ྆ํΛಈ͔ͯ͠."1ਪఆ͢Δ͜ͱͰࣗಈνϡʔ χϯά͕Ͱ͖Δʢઌߦݚڀ͋Γʣ

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"VUPNBUJD$PNQMFYJUZ$POUSPM GPS1.'.PEFMT ͨͩ͠ɺ ͸7 6ͷࣄલ෼෍ͷύϥϝʔλ ɺ 6 7ͷࣄલ෼෍͸ɺฏۉɺ௒ٿঢ়ͷ෼ࢄΛ΋ͭਖ਼ن෼෍ͱͯ͜͠Ε·Ͱ࿩Λਐ Ί͕ͨɺࣄલ෼෍ͷύϥϝʔλ͕ՄมʹͳΔ ࣄલ෼෍ʹΨ΢ε෼෍Λ࢖͑͹ɺ࠷దͳϋΠύʔύϥϝʔλ͸ղੳతʹٻΊΒΕΔɻ ʢ6 7Λݻఆͨ͠৔߹ʣ ύϥϝʔλͷVQEBUFɺϋΠύʔύϥϝʔλͷVQEBUFΛަޓʹ܁Γฦ͠ͳ͕Β࠷ٸ ߱Լ๏Λߦ͑͹0,

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$POTUSBJOFE1.'  ϨϏϡʔ਺ͷগͳ͍ϢʔβͷજࡏϕΫτϧ͸ࣄલ෼෍ͷฏۉ͔Βಈ͖ʹ͍͘ ʢͳΜͷಛ௃΋ͳ͍ฏۉϢʔβʹͳͬͯ͠·͏ʣ  ಉ͡өըΛϨϏϡʔͨ͠ਓ͸ࣅͨࣄલ෼෍Λ࣋ͭΑ͏ʹ੍໿ΛೖΕΔ *JLϢʔβJ͕өըLΛධՁ͍ͯ͠Ε͹ɺͯ͠ͳ͚Ε͹

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$POTUSBJOFE1.' ࠨଆ͕1.'ͷάϥϑΟΧϧϞσϧɺӈଆ͕DPOTUSBJOFE1.'ͷάϥϑΟΧϧϞσϧɻ ˞ਤ͸3FGFSFODFͷ'JHVSFΑΓൈਮ

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&YQFSJNFOUBM3FTVMUT /FUqJY%BUB ܇࿅σʔλ    ݅ͷϨϏϡʔ ςετσʔλ    ݅ͷϢʔβөըͷ૊Έ߹Θͤ  ܇࿅σʔλʹଘࡏ͢ΔϢʔβͷ࠷ۙͷϨϏϡʔ͔ΒαϯϓϦϯά τΠσʔλ  ຊ࿦จͷݕূͷͨΊɺҎԼͷςετσʔλू߹Λ࡞੒    ݅ͷϨϏϡʔ͔ΒͳΔ܇࿅σʔλ  ܇࿅σʔλͷҎ্ͷϢʔβ͸ະຬͷϨϏϡʔ͔͍ͯ͠͠ͳ͍

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&YQFSJNFOUBM3FTVMUT ࣄલ෼෍ͷࣗಈௐ੔ͰաֶशΛ๷͛Δ͜ͱΛ֬ೝ 1.'pYFEQSJPS1.'ʢЕ6ɺЕ7ʣ 1.'pYFEQSJPS1.'ʢЕ6ɺЕ7ʣ 1.'"BEPQUJWFQSJPS1.' BEKVTUBCMFNFBOBOETQIFSJDBMDPWBSJBODF  1.'"BEPQUJWFQSJPS1.' BEKVTUBCMFNFBOBOEEJBHPOBMDPWBSJBODF ˞ਤ͸3FGFSFODFͷ'JHVSFΑΓൈਮ

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&YQFSJNFOUBM3FTVMUT ϢʔβͷϨϏϡʔ਺͕গͳ͍৔߹͸ɺDPOTUSBJOFE1.'͕༗༻ ˞ਤ͸3FGFSFODFͷ'JHVSFΑΓൈਮ

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&YQFSJNFOUBM3FTVMUT 1.'ͷ৔߹ɺϨϏϡʔ਺͕গͳ͍Ϣʔβʹର͢ΔQSFEJDUJPO͸ϨϏϡʔͷฏۉ஋Λ ฦ͍ͯ͠Δͷͱಉ͡  $POTUSBJOFE1.'ʹ͢Δ͜ͱͰΑ͍݁Ռ͕͑ΒΕΔ  ςετσʔλͷதʹͲͷʢϢʔβ өըʣͷλϓϧؚ͕·ΕΔͷͰɺͦͷ৘ใΛ܇ ࿅࣌ʹར༻͢Δ͜ͱͰύϑΥʔϚϯε͕޲্ ˞ਤ͸3FGFSFODFͷ'JHVSFΑΓൈਮ

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4VNNBSZBOE%JTDVTTJPO  1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPOΛఏҊ  "EPQUJWF1SJPS1.'  $POTUSBJOFE1.'  ڊେͳөըධՁσʔληοτΛ༻͍ͯɺϞσϧͷ༗༻ੑΛ࣮ূ ·ͱΊ ՝୊  ύϥϝʔλͷ఺ਪఆΛܭࢉ͕ͨ͠ɺύϥϝʔλͷ෼෍͸ܭࢉ͍ͯ͠ͳ͍  ׬શͳϕΠζΞϓϩʔνΛऔΓ͍ͨ৔߹͸ɺ.$.$͢Δ  ܭࢉίετ͸େ͖͍͕ɺੑೳ޲্͕ݟࠐ·ΕΔ

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3FGFSFODFT <>l1SPCBCJMJTUJD.BUSJY'BDUPSJ[BUJPO 3VTMBO4BMBLIVUEJOPWBOE"OESJZ.OJI <>l.PEFMJOH6TFS3BUJOH1SPpMFT'PS$PMMBCPSBUJWF'JMUFSJOHz #FOKBNJO.BSMJO