Testi divdimensionālu gadījuma lielumu sadalījumu pārbaudei

6533b831fe1ef96bd1298903

RESEARCH PRODUCT

Testi divdimensionālu gadījuma lielumu sadalījumu pārbaudei

Bruno Opermanis

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Diplomdarba mērķis ir analizēt, pielietot, salīdzināt un implementēt programmā R dažādus statistiskos testus divdimensionālu gadījumu lielumu sadalījumu pārbaudei. Hipotēžu pārbaude par sadalījumu veidu ir viena no svarīgākajām problēmām matemātiskajā statistikā. Tiek analizēti testi vienkāršas hipotēzes pārbaudei par divdimensionāla vienmērīgā sadalījuma pārbaudi: Kolmogorova-Smirnova tests, Hī-kvadrāta un datu virzīts gludais tests. Šiem testiem tiek veikta empīriskā jaudas analīze, pēc tam iegūtie rezultāti tiek pielāgoti praktiskai datu problēmai. Darbā tiek apskatīti arī testi saliktas hipotēzes pārbaudei par normālo sadalījumu: Šapiro-Vilksa tests, Lilifora un divi datu virzīti testi. Īpaša uzmanība tiek pievērsta dažādām versijām datu virzītiem Neimaņa gludajiem testiem, kas ieguvuši popularitāti pēc 1994. gada Ledvinas publikācijas, kur Neimaņa statistikai tiek pielietots Švarca selekcijas kritērijs.

year	journal	country	edition	language
2015-01-01

https://dspace.lu.lv/dspace/handle/7/23804

PEPhysical Sciences and Engineering
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