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takasp
August 17, 2023
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監視のための統計入門 / Introduction to Statistics for Monitoring
takasp
August 17, 2023
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Transcript
ࢹͷͨΊͷ౷ܭೖ @takasp 20238݄17
ΞδΣϯμ • ਪଌ͢ΔͳɺܭଌͤΑ • ౷ܭೖ • ฏۉɺҠಈฏۉ • தԝ •
पظੑ • ҐɺύʔηϯλΠϧ • ·ͱΊ
ਪଌ͢ΔͳɺܭଌͤΑ
ਪଌ͢ΔͳɺܭଌͤΑ • Rob PikeࢯͷCϓϩάϥϛϯάʹؔ͢Δ֮͑ॻ͖͕ݩωλ • ϧʔϧ1: ϓϩάϥϜ͕Ͳ͜Ͱ࣌ؒΛফඅ͢Δ͜ͱʹͳΔ͔Δ ͜ͱͰ͖ͳ͍ɻϘτϧωοΫڻ͖͘ՕॴͰى͜ΔͷͰ ͋Δɻ͕ͨͬͯ͠ɺͲ͕͜ϘτϧωοΫͳͷ͔Λ͖ͬΓͤ͞ Δ·ͰɺਪଌΛߦͬͨΓɺεϐʔυϋοΫΛͯ͠ͳΒͳ͍ɻ
• ϧʔϧ2: ܭଌ͢͠ɻܭଌ͢Δ·ͰͷͨΊͷௐΛͯ͠ ͳΒͳ͍ɻίʔυͷҰ෦͕ΓΛѹ͠ͳ͍ͷͰ͋Εɺͳ ͓͞ΒͰ͋Δɻ 8JLJQFEJBʮ6/*9ֶʯIUUQTKBXJLJQFEJBPSHXJLJ6/*9&#&"%"
౷ܭೖ
ฏۉʢmean / average) • ू߹ͷΛશͯͯ͠ɺू߹ͷཁૉͰ ׂͬͨͷ • ू߹ͷݸผͷΛ֬ೝ͠ͳͯ͘ͲͷΑ͏ͳ ͷ͔ද͢ͷʹศརͳ avg
= data1 + data2 + . . . + data n n
Ҡಈฏۉʢmoving averageʣ • ҠಈฏۉΛద༻͢Δͱࣝผ͍͢͠ύλʔϯΛ࣋ͭσʔληοτʹͳΔɻ • εύΠΫͷଟ͍άϥϑΛฏԽͰ͖Δɻ • ͨͩ͠ɺॏཁͳσʔλϙΠϯτΛࣦ͏Մೳੑ͕͋Δɻ ౷ܭ8&#ʮ࣌ܥྻσʔλͱҠಈฏۉʯIUUQTCFMMDVSWFKQTUBUJTUJDTDPVSTFIUNM
தԝʢmedianʣ • σʔλΛঢॱʹฒͼସ͑ͨ࣌ͷਅΜதʹҐஔ͢Δ • ฏۉ͕ରΛਖ਼֬ʹද͞ͳ͍ͱ͖ʹ͑Δ • σʔλͷ͕حͷ࣌ɿਅΜதͷ • σʔλͷ͕ۮͷ࣌ɿਅΜதͷ2ͭͷͷฏۉ median(0,
1, 1, 2, 3, 5, 8, 13, 21) = 3 median(0, 1, 1, 2, 3, 5, 8, 13, 21, 34) = 4
पظੑʢseasonalityʣ • σʔλϙΠϯτ͕ύλʔϯΛ܁Γฦ͢͜ͱ %BUBEPH%PDTʮҟৗݕϞχλʔʯIUUQTEPDTEBUBEPHIRDPNKBNPOJUPSTUZQFTBOPNBMZ • ಉ͡ύλʔϯ͕ଓ͘͜ͱ͕Θ͔ΔͱະདྷͷܭըΛཱͯͨΓɺ ༧ଌͨ͠Γ͢Δͷʹ͑Δ • ಥવʹͳͬͨΓɺ2ഒʹͳͬͨΓͨ͠Βௐ͕ࠪඞཁͳ͜ͱ͕Θ͔Δ
Ґʢquantileʣ • σʔληοτͷ͋ΔΛද͢౷ܭతख๏ • දྫ • ୈ2࢛Ґʢதԝɺ50ύʔηϯλΠϧʣ • ύʔηϯλΠϧ
ύʔηϯλΠϧʢpercentileʣ • ύʔηϯςʔδʢ0 - 100ʣͰσʔληοτͷΛ දݱ͢Δ • σʔλΛঢॱʹฒͼସ͑ɺখ͍͞ํ͔Βn%ʹҐஔ͢Δ •
ଟ͘ͷϢʔβʔʹͱͬͯϨΠςϯγ͕Ͳ͏͔ͩͬͨʢେଟ ͷϢʔβʔʹର͢ΔαʔϏε࣭ʣͳͲͷใ͕ಘΒΕΔ • ʢ100 - nʣ%ͷσʔλϙΠϯτΛࣺ͍ͯͯΔͷͰɺ ϨΠςϯγͷ߹࠷େΛݟΔͳͲͷผͷࢹ͕ඞཁ
·ͱΊ
·ͱΊ • ฏۉΑ͘ΘΕΔؔɻ தԝσʔλʹΑͬͯศརɻ • पظੑɺ࣌ܥྻσʔλͷύλʔϯΛݟ͚ͭΔͷʹ ྑ͍ํ๏ɻ •
ύʔηϯλΠϧσʔλͷ͓͓Α͕ͦ Ͳ͏ͳ͍ͬͯΔ͔ཧղ͢Δͷʹศརɻ ͨͩ͠ɺۃͳσʔλΛແࢹ͍ͯ͠Δ͜ͱʹҙɻ
ಛੑΛཧղ͍ͯ͠·͠ΐ͏
ࢀߟจݙ • “UNIXֶ” . Wikipedia . 2023 . https://ja.wikipedia.org/wiki/ UNIX%E5%93%B2%E5%AD%A6
, (ࢀর 2023-08-16) • גࣜձࣾࣾձใαʔϏε . “32-3. ࣌ܥྻσʔλͱҠಈฏۉ” . ౷ܭWEB . 2023 . https://bellcurve.jp/statistics/course/12933.html , (ࢀর 2023-08-16) • Datadog, Inc. . “ҟৗݕϞχλʔ” . Datadog Docs . 2023 . https:// docs.datadoghq.com/ja/monitors/types/anomaly/, (ࢀর 2023-08-16) • Mike Julian . ೖ ࢹʕϞμϯͳϞχλϦϯάͷͨΊͷσβΠϯύλʔϯ . גࣜձࣾΦϥΠϦʔɾδϟύϯ , 2019