Curtose

Em estatística descritiva, a curtose é uma medida de forma que caracteriza o achatamento da curva da função de distribuição de probabilidade ^[1]. É usualmente definida como:

\mathrm {{\frac {m_{4}(\mu )}{\sigma ^{4}}}+(-3)}

Onde $\mathrm {m_{4}(\mu )}$ é o quarto momento central e σ é o desvio-padrão.

Alguns textos ^[1] definem a curtose como a razão entre o quarto momento central e o quadrado do segundo momento central.

${\frac {\mu _{\color {Red}4}}{\mu _{\color {Red}2}^{2}}}=$ ${\frac {E\left(X-E(X)\right)^{\color {Red}4}}{\left[E\left(X-E(X)\right)^{\color {Red}2}\right]^{2}}}$

neste caso a curtose da distribuição normal é 3.

A curtose não tem limite superior (ou seja, existem distribuições com curtose tão alta quanto se queira), porém seu limite inferior é -2, na Bernoulli com p = 1/2.

Significado

Se o valor da curtose for = 0 (ou 3, pela segunda definição), então tem o mesmo achatamento que a distribuição normal. Chama-se a estas funções de mesocúrticas
Se o valor é > 0 (ou > 3), então a distribuição em questão é mais alta (afunilada) e concentrada que a distribuição normal. Diz-se que esta função probabilidade é leptocúrtica, ou que a distribuição tem caudas pesadas (o significado é que é relativamente fácil obter valores que não se aproximam da média a vários múltiplos do desvio padrão)
Se o valor é < 0 (ou < 3), então a função de distribuição é mais "achatada" que a distribuição normal. Chama-se-lhe platicúrtica

Ver também

Obliquidade - estatística associada ao terceiro momento

Referências

↑ ^a ^b CASELLA, George, e BERGER, Roger L. Inferência estatística - tradução da 2ª edição norte-americana. Centage Learning, 2010 ISBN13: 9788522108947, ISBN10: 8522108943. Página 72.

Estatística

Estatística descritiva

Gráficos estatísticos	Biplot Carta de controlo Diagrama de caixa Diagrama de ramos e folhas Gráfico em leque Forest plot Função correlograma Gráfico de barras Gráfico de dispersão Gráfico de linha Gráfico de setores Gráfico Q-Q

Inferência estatística

Análise de variância

Cópula gaussiana

Análise multivariada da variância

Distribuição t de Student

Erro do tipo I

Erro do tipo II

Hipotése nula/Hipótese alternativa

Método de Neyman–Pearson

Normalização de dados

Estatística não-paramétrica

Análise de sobrevivência

Amostragem

Distribuição de probabilidade

Correlação

Regressão

Análise multivariada

Análise de "Cluster" (análise de agrupamento)

Análise de correspondência

Séries temporais

Read other articles:

Ngargoyoso, Karanganyar

NgargoyosoKecamatanPeta lokasi Kecamatan NgargoyosoNegara IndonesiaProvinsiJawa TengahKabupatenKaranganyarPemerintahan • Camat-Populasi • Total33,052 (2.003) jiwaKode Kemendagri33.13.07 Kode BPS3313070 Luas65,34 km²Desa/kelurahan- Ngargoyoso (Jawa: ꦔꦂꦒꦺꦴꦪꦺꦴꦱꦺꦴ) adalah sebuah kecamatan di Kabupaten Karanganyar, Jawa Tengah. Ngargoyoso terdiri atas 9desa, yaitu:Puntukrejo, Berjo, Girimulyo,Segorogunung, Kemuning, Ngargoyoso, Jatirejo, Ngle...

Papua Nya Guinea

Independent State of Papua New GuineaIndependen Stet bilong Papua NiuginiPapua Niu Gini Flagga Statsvapen Valspråk: Unity in diversity Nationalsång: O arise all you sons of this land läge Huvudstad(även största stad) Port Moresby Officiella språk engelska, hiri motu, tok pisin Demonym papuan[1] Statsskick Monarki (samväldesrike) - Kung Charles III - Generalguvernör Bob Dadae - Premiärminister James Marape Självständighet från Australi...

Henry Lémery

Pour les articles homonymes, voir Lémery. Henry Lémery Henry Lémery en 1918. Fonctions Ministre-secrétaire d’État aux Colonies 12 juillet – 6 septembre 1940(1 mois et 25 jours) Chef de l'État Philippe Pétain Président du Conseil Pierre Laval Gouvernement Laval V Prédécesseur Albert Rivière Successeur Charles Platon Garde des Sceaux, ministre de la Justice 15 octobre – 8 novembre 1934(24 jours) Président Albert Lebrun Président du Conseil Gaston Doumergue Gou...

1954 Belgian Grand Prix

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: 1954 Belgian Grand Prix – news · newspapers · books · scholar · JSTOR (March 2019) (Learn how and when to remove this template message) 1954 Belgian Grand Prix ← Previous raceNext race → Spa-Francorchamps layoutRace detailsDate 20 June 1...

Woodlesford railway station

Railway station in West Yorkshire, England WoodlesfordPlatform 2 in 2011, with the new footbridge from platform 1General informationLocationWoodlesford, City of LeedsEnglandCoordinates53°45′25″N 1°26′37″W / 53.7570°N 1.4435°W / 53.7570; -1.4435Grid referenceSE368290Managed byNorthernTransit authorityWest Yorkshire MetroPlatforms2Other informationStation codeWDSFare zone2ClassificationDfT category F1HistoryOpened1840Passengers2018/19 0.329 million2019/20 0.3...

Associazione Calcio Lumezzane 2001-2002

Voce principale: Football Club Lumezzane. Associazione Calcio LumezzaneStagione 2001-2002Sport calcio SquadraAssociazione Calcio Lumezzane Allenatore Giancarlo D'Astoli Presidente Aldo Bonomi Serie C17º posto nel girone A Coppa ItaliaPrimo turno Coppa Italia Serie CQuarti di finale Maggiori presenzeCampionato: Minelli (33) Miglior marcatoreCampionato: Guidetti (11)Totale: Guidetti (13) StadioNuovo Stadio Comunale 2000-2001 2002-2003 Si invita a seguire il modello di voce Questa voce raccogl...

Template talk:Juice

Food and drink Template‑class Food portalThis template is within the scope of WikiProject Food and drink, a collaborative effort to improve the coverage of food and drink related articles on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.Food and drinkWikipedia:WikiProject Food and drinkTemplate:WikiProject Food and drinkFood and drink articlesTemplateThis template does not require a rating on Wikipe...

Airbus UK Broughton F.C.

Airbus UK BroughtonNama lengkapAirbus UK Broughton Football ClubJulukanThe WingmakersBerdiri1946 (sebagai Vickers-Armstrong)StadionThe AirfieldBroughton(Kapasitas: 1,600 (500 tersedia)[1])PemilikAirbusKetuaPaul McKinlayPelatihAndy PreeceLigaWelsh Premier League2012–13Welsh Premier League, 2nd Kostum kandang Kostum tandang Airbus UK Broughton F.C. adalah tim sepak bola profesional asal Wales yang kini berkompetisi di Welsh Premier League. The Airfield Titel Welsh National League (Wre...

Tuzkol, Raiymbek District

Lake in Kazakhstan For the lake in Pavlodar Region, see Tuzkol, Bayanaul District. TuzkolТұзкөлView of the lakeTuzkolLocationKegen DepressionCoordinates43°00′N 79°58′E / 43.000°N 79.967°E / 43.000; 79.967Typesalt lakeBasin countriesKazakhstanMax. length5.7 kilometers (3.5 mi)Max. width2.1 kilometers (1.3 mi)Surface area6.6 square kilometers (2.5 sq mi)Max. depth3 meters (9.8 ft)Residence timeUTC+6Shore length116.6 kilome...

Media (kawasan)

Media (Kawasan) Media (Bahasa Persia Lama: Māda, Bahasa Persia Pertengahan: Mād) adalah sebuah wilayah di barat laut Iran, yang dikenal karena menjadi basis politik dan budaya dari bangsa Media.[N 1] Pada zaman Achaemenid, wilayah tersebut meliputi wilayah saat ini dari Azarbaijan, Kurdistan Iran dan barat Tabaristan. Catatan ^ A)..and the Medes (Iranians of what is now north-west Iran).. Templat:EIEC. B) Archaeological evidence for the religion of the Iranian-speaking Medes of the ...

United States Space Forces – Space

United States Space Forces – SpaceS4S emblemFounded6 December 2023; 166 daysCountry United StatesBranch United States Space ForceTypeComponent field commandRoleSpace operationsPart ofUnited States Space CommandHeadquartersVandenberg Space Force Base, CaliforniaCommandersCommanderLt Gen Douglas SchiessDeputy CommanderMaj Gen Dennis BythewoodCommand Senior Enlisted LeaderCMSgt Grange S. Coffin IV[1]Military unit The United States Space Forces – Space (S4S, SPACEFOR�...

Dell Technologies

American multinational technology company This article is about the company formed after the merger of Dell and EMC Corporation (now Dell EMC). For other uses, see Dell (disambiguation). Dell Technologies Inc.Headquarters in Round Rock, TexasCompany typePublicTraded asNYSE: DELL (Class C)IndustryComputer hardwareSoftwareCloud computingData storageInformation security ConsultingPredecessorsDellEMC CorporationFoundedSeptember 7, 2016; 7 years ago (2016-09-07) as a merger ...

Robotics simulator

Simulator to create applications for physical robots This article possibly contains original research. Please improve it by verifying the claims made and adding inline citations. Statements consisting only of original research should be removed. (August 2014) (Learn how and when to remove this message) A robotics simulator is a simulator used to create an application for a physical robot without depending on the physical machine, thus saving cost and time. In some case, such applications can ...

Tomb of Lu Xun

Historic site in Shanghai, ChinaTomb of LuxunThe tomb of Lu XunLocationLu Xun Park, Shanghai, ChinaCoordinates31°16′27″N 121°28′41″E / 31.27414°N 121.478062°E / 31.27414; 121.478062 (鲁迅墓)Built1956OwnerLu Xun The bronze statue of Lu Xun at his tomb The tomb of Lu Xun is the burial place of the Chinese writer Lu Xun (1881–1936), located in the northwestern corner of the Lu Xun Park in Hongkou District, Shanghai. Covering an area of 1,600 squar...

Michael Heseltine

Michael Heseltine Vice primo ministro del Regno UnitoDurata mandato20 luglio 1995 –2 maggio 1997 Capo del governoJohn Major PredecessoreGeoffrey Howe (1990) SuccessoreJohn Prescott Primo Segretario di StatoDurata mandato20 luglio 1995 –2 maggio 1997 PredecessoreBarbara Castle SuccessoreJohn Prescott Parlamentare del Regno UnitoDurata mandato28 febbraio 1974 –7 giugno 2001 PredecessoreJohn Hay SuccessoreBoris Johnson CollegioHenley Durata ma...

George Papandreou

Greek politician, president of the Socialist International For George Papandreou's namesake grandfather, see Georgios Papandreou. George PapandreouΓιώργος ΠαπανδρέουPapandreou in 2011Prime Minister of GreeceIn office6 October 2009 – 11 November 2011PresidentKarolos PapouliasDeputyTheodoros PangalosEvangelos VenizelosPreceded byKostas KaramanlisSucceeded byLucas PapademosLeader of the OppositionIn office10 March 2004 – 6 October 2009Prime MinisterKostas K...

Miss Grand Indonesia 2019

Miss Grand Indonesia 2019Sarlin Jones, Miss Grand Indonesia 2019.Tanggal29 Agustus 2019TempatBalai Sarbini Hall, JakartaPembawa acaraYuanita ChristianiRory AsyariPengisi acaraAaliyah MassaidBamsStasiun televisiMetroTVVidio (live streaming)Peserta34Finalis/Semifinalis10DebutMaluku UtaraNusa Tenggara TimurGorontaloSulawesi TengahPemenangSarlin Jones[1]( Nusa Tenggara Timur)PersahabatanSarija S. Ibrahim( Maluku Utara)Kostum Nasional TerbaikHanna Claudia Huta...

Nouri al-Maliki

Prime Minister of Iraq from 2006 to 2014 Nouri al-Malikiنوري المالكيAl-Maliki in 201364th Prime Minister of IraqIn office20 May 2006 – 8 September 2014PresidentJalal TalabaniFuad MasumDeputy See list Salam al-ZaubaiBarham SalihRafi al-IssawiRowsch ShawaysSaleh al-MutlaqHussain al-Shahristani Preceded byIbrahim al-JaafariSucceeded byHaider al-AbadiVice President of IraqIn office10 October 2016[1] – 2 October 2018Serving with Osama al-Nujaifi and...

Лубажак

КоммунаЛубажакLoubajac Герб 43°08′05″ с. ш. 0°04′48″ з. д.HGЯO Страна Франция Регион Юг — Пиренеи Департамент Верхние Пиренеи Кантон Сен-Пе-де-Бигор Мэр Ги Вержес(2014—2020) История и география Площадь 6,55 км² Высота центра 398–534 м Часовой пояс UTC+1:00, летом UTC+2:00 Население Н...

List of highways numbered 264

Route 264 or Highway 264 may refer to: Canada Manitoba Provincial Road 264 Prince Edward Island Route 264 Saskatchewan Highway 264 Israel Route 264 (Israel) Japan Japan National Route 264 United States Interstate 264 (multiple highways) U.S. Route 264 Arizona State Route 264 Arkansas Highway 264 Georgia State Route 264 Indiana State Road 264 K-264 (Kansas highway) Maryland Route 264 Minnesota State Highway 264 Montana Secondary Highway 264 Nevada State Route 264 New Mexico State Road 264 New...