Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
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
1.6k
dotdotdot_in_predict_function
bk_18
1
1.1k
Introduction_of_GoogleAnalytics_with_R
bk_18
2
990
web scraping with polite package
bk_18
2
810
start-salesforce-with-r
bk_18
0
890
Missspell Detection
bk_18
1
170
About Missing Values
bk_18
1
390
Other Decks in Programming
See All in Programming
Codexに役割を持たせる 他のAIエージェントと組み合わせる実務Tips
o8n
0
230
LangChain4jとは一味違うLangChain4j-CDI
kazumura
1
150
Event Storming
hschwentner
3
1.3k
AI駆動開発の本音 〜Claude Code並列開発で見えたエンジニアの新しい役割〜
hisuzuya
4
480
The Past, Present, and Future of Enterprise Java
ivargrimstad
0
380
maplibre-gl-layers - 地図に移動体たくさん表示したい
kekyo
PRO
0
180
社内規程RAGの精度を73.3% → 100%に改善した話
oharu121
13
7.6k
Go Conference mini in Sendai 2026 : Goに新機能を提案し実装されるまでのフロー徹底解説
yamatoya
0
520
DevinとClaude Code、SREの現場で使い倒してみた件
karia
1
920
AI時代のソフトウェア開発でも「人が仕様を書く」から始めよう-医療IT現場での実践とこれから
koukimiura
0
130
ふつうの Rubyist、ちいさなデバイス、大きな一年
bash0c7
0
550
nilとは何か 〜interfaceの構造とnil!=nilから理解する〜
kuro_kurorrr
3
1.6k
Featured
See All Featured
Mobile First: as difficult as doing things right
swwweet
225
10k
Leveraging LLMs for student feedback in introductory data science courses - posit::conf(2025)
minecr
1
190
AI in Enterprises - Java and Open Source to the Rescue
ivargrimstad
0
1.2k
Stop Working from a Prison Cell
hatefulcrawdad
274
21k
Evolving SEO for Evolving Search Engines
ryanjones
0
150
Optimising Largest Contentful Paint
csswizardry
37
3.6k
Between Models and Reality
mayunak
2
230
Design and Strategy: How to Deal with People Who Don’t "Get" Design
morganepeng
133
19k
A Modern Web Designer's Workflow
chriscoyier
698
190k
How STYLIGHT went responsive
nonsquared
100
6k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
231
54k
Sharpening the Axe: The Primacy of Toolmaking
bcantrill
46
2.7k
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