Upgrade to PRO for Only $50/Year—Limited-Time Offer! 🔥
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
Befriending Kurtosis with R
Search
bk
October 07, 2023
Programming
1
980
Befriending Kurtosis with R
bk
October 07, 2023
Tweet
Share
More Decks by bk
See All by bk
tidy_rpart
bk_18
1
1.5k
dotdotdot_in_predict_function
bk_18
1
1.1k
Introduction_of_GoogleAnalytics_with_R
bk_18
2
980
web scraping with polite package
bk_18
2
800
start-salesforce-with-r
bk_18
0
870
Missspell Detection
bk_18
1
160
About Missing Values
bk_18
1
380
Other Decks in Programming
See All in Programming
堅牢なフロントエンドテスト基盤を構築するために行った取り組み
shogo4131
6
2k
AIコーディングエージェント(skywork)
kondai24
0
120
CSC305 Lecture 15
javiergs
PRO
0
250
エディターってAIで操作できるんだぜ
kis9a
0
660
[SF Ruby Conf 2025] Rails X
palkan
0
450
AIコーディングエージェント(NotebookLM)
kondai24
0
130
WebRTC、 綺麗に見るか滑らかに見るか
sublimer
1
150
Developing static sites with Ruby
okuramasafumi
0
160
【CA.ai #3】ワークフローから見直すAIエージェント — 必要な場面と“選ばない”判断
satoaoaka
0
220
これだけで丸わかり!LangChain v1.0 アップデートまとめ
os1ma
6
1.3k
新卒エンジニアのプルリクエスト with AI駆動
fukunaga2025
0
150
DSPy Meetup Tokyo #1 - はじめてのDSPy
masahiro_nishimi
1
150
Featured
See All Featured
Producing Creativity
orderedlist
PRO
348
40k
The Cult of Friendly URLs
andyhume
79
6.7k
Product Roadmaps are Hard
iamctodd
PRO
55
12k
Building Adaptive Systems
keathley
44
2.9k
Stop Working from a Prison Cell
hatefulcrawdad
273
21k
Keith and Marios Guide to Fast Websites
keithpitt
413
23k
CSS Pre-Processors: Stylus, Less & Sass
bermonpainter
359
30k
10 Git Anti Patterns You Should be Aware of
lemiorhan
PRO
659
61k
Unsuck your backbone
ammeep
671
58k
Six Lessons from altMBA
skipperchong
29
4.1k
Done Done
chrislema
186
16k
Fashionably flexible responsive web design (full day workshop)
malarkey
407
66k
Transcript
ʙ ՄࢹԽύοέʔδͰઑͱٔΕΔʙ ઑͱྑ͘ͳΓ͍ͨ
࣍ 2 ઑͱ ϕʔλͱ ઑΛՄࢹԽͯ͠ΈΔ ·ͱΊ ࢀߟจݙ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ p.3,4 p.5-7
p.8-16 p.17,18 ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ ɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾɾ p.19 B
ઑͱ
ઑͱ 4 ֬ͷ, ઑΓͷఔΛද͢ࢦඪఆٛͰ͖Δ. ͢ͳΘͪ, ࢛ͷظ , த৺ͷपғͷ෦ͷઑΓ۩߹Λද͢. α4 =
E(x − μ)4 σ4 ౦ژେֶڭཆֶ෦౷ܭֶڭࣨ. ʰ౷ܭֶೖʱ. ౦ژେֶग़൛ձ, 1991-07-10 *ਖ਼نͷઑͰ͋Δ3ΛҾ͍ͯɺ0Λج४ʹ͢Δ߹͋Δɻ ࠓճ3ΛҾ͔ͣɺ্هͷࢦඪΛͦͷ··༻͢Δɻ
B ϕʔλͱ
ϕʔλͱ 6 ۩ମతͳઑΛࢉग़͢ΔͨΊʹɺઑΛٻΊΔΛஔ͘ɻ ࠓճ2ͭͷΛ࣋ͪɺܗঢ়͕ॊೈͳϕʔλΛѻ͏ɻ ͔ΒͬΆͷ͠ΐ͜. ʮʲRʳϕʔλͷ࡞ਤʯ. https://www.anarchive-beta.com/entry/2022/07/02/210203
ϕʔλͷύϥϝʔλมԽͱઑ 7 alphaͱઑʢkurtosisʣͷؔΛਤࣔɻ y࣠ʹுΓ͍ͨܗͷઑେ͖͍͕ɺҰҰ༷ʹ͍ۙͮͯখ͘͞ͳΓɺ ͦͷޙਖ਼نʹ͖ۙͮͳ͕Β؇͔ʹେ͖͘ͳΔɻ
ઑΛՄࢹԽͯ͠ΈΔ
ઑͷࣜΛղ 9 ϕʔλͷઑΛՄࢹԽͰ͖ΔΑ͏ʹղ͢Δɻ ࢠฏۉपΓͷ4࣍Ϟʔϝϯτɻੵͷܗʹ͢Δͱภࠩͷ4ͱ֬ີؔɻ ࢄͷ2ɻࠓճ͋·Γ৮Εͳ͍ɻ E[(x − μ)4] σ4 =
∫ (x − μ)4 f(x) dx σ4
alpha=6.1ͷ 10 alpha=6.1ɺbeta=2ͷϕʔλͰઑΛՄࢹԽ͍ͯ͘͠ɻ
alpha=6.1ͷภࠩͷ4ͱ֬ີؔ 11 ઑͷࢠʹ͋Δภࠩͷ4ͱ֬ີؔΛਤࣔɻ ࢠ͜ΕΒͷֻ͚߹ΘͤʹͳΔɻ (x − μ)4 f(x) ∫ (x
− μ)4 f(x) dx σ4 f(x) (x − μ)4
alpha=6.1ͷภࠩͷ4ͱ֬ີؔ 12 ࢠͷܭࢉΛਐΊͯɺภࠩͷ4ͱ֬ີؔΛֻ͚ͨؔΛϓϩοτɻ ฏۉपΓภࠩͷ4͕0ʹۙͮͨ͘Ίɺ͕খ͘͞ͳΔɻ ฏۉ͔ΒΕɺ֬ີؔߴΊͳ0.25ʙ0.5͋ͨΓͷ͕େ͖͘ͳΔɻ mean ∫ (x − μ)4
f(x) dx σ4 (x − μ)4 f(x) (x − μ)4 f(x)
alpha=0.14ͷ 13 ࣍ʹalpha=0.14ɺbeta=2ͷϕʔλͰઑΛՄࢹԽ͢Δɻ ࢄઌ΄Ͳͷalpha=6.1ͷͱɺ0.02લޙͰ΄΅มΘΒͳ͍ɻ
alpha=0.14ͷภࠩͷ4ͱ֬ີؔ 14 alpha=6.1Ͱݟ͖ͯͨͷͱಉ༷ʹɺ֬ີؔͱภࠩͷ4ΛՄࢹԽɻ ภࠩͷ4ͷมԽ͕ݟ͍͢Α͏ʹɺॎ࣠ͷεέʔϧΛ0ʙ3ʹௐ͍ͯ͠Δɻ (x − μ)4 f(x) ∫ (x
− μ)4 f(x) dx σ4 f(x) (x − μ)4
alpha=0.14ͷภࠩͷ4ͱ֬ີؔ 15 ภࠩͷ4ͱ֬ີؔΛֻ͚ͨͷΛਤࣔɻ ฏۉ0͔Βগ͠ΕΔͨΊɺy࣠ۙͰ͕ٸʹ্͕Δɻ ·ͨɺฏۉ͔ΒΕͨП0.5ʙ1.0ͷؒͷ͕େ͖͍ɻ (x − μ)4 f(x) mean
∫ (x − μ)4 f(x) dx σ4 (x − μ)4 f(x)
alpha=6.1ͱalpha=0.14ͷൺֱ 16 alpha=6.1ͱ0.14ͷภࠩͷ4ͱ֬ີؔΛֻ͚ͨͷΛಉ࣌ʹՄࢹԽɻ alpha=0.14ͷฏۉ͔ΒΕͨ0.75ۙͰ͕େ͖͍ɻ શମͰɺalpha=6.1ΑΓalpha=0.14ͷํ͕ઑ͕େ͖͍ͱ͍͏݁Ռʹɻ ∫ (x − μ)4 f(x)
dx σ4 (x − μ)4 f(x)
·ͱΊ
·ͱΊ 18 ɾઑ͕େ͖͍ɺͱʁ ͷฏۉपΓͷີ͕ബ͘ɺ ฏۉ͔ΒΕͨ෦ͷີ͕ް͍͜ͱ ɾRݴޠͷՄࢹԽύοέʔδͰཧղΛਂΊΔ ɾggplot2 ɾgganimate ɾgghighlight
ࢀߟจݙ 19 •౦ژେֶڭཆֶ෦౷ܭֶڭࣨ. ʰ౷ܭֶೖʱ. ౦ژେֶग़൛ձ, 1991-07-10 • ͔ΒͬΆͷ͠ΐ͜, ʮʲRʳϕʔλͷ࡞ਤʯ, https://www.anarchive-beta.com/entry/2022/07/02/210203
• ౷ܭֶʮઑʯ Kurtosis, https://www.youtube.com/watch?v=iEOE3OCuB8U • ֬ ߨٛ #003 Ϟʔϝϯτؔ, https://www.youtube.com/watch?v=tZl8M96m46Y • ΞΠίϯૉࡐμϯϩʔυαΠτʮicooon-monoʯ, https://icooon-mono.com/
Eɹnɹjɹoɹyɹ