| dc.contributor.advisor | Hušková, Marie | |
| dc.creator | Chochola, Ondřej | |
| dc.date.accessioned | 2017-04-06T11:37:06Z | |
| dc.date.available | 2017-04-06T11:37:06Z | |
| dc.date.issued | 2007 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11956/13279 | |
| dc.description.abstract | In the thesis we study a sequential monitoring scheme for detecting a change in variance. We assume to have a stable historical period of length m. The goal is to propose tests with asymptotically small probability of type I error and power 1 as m tends to infinity. Two such procedures were proposed. The first uses estimates of variance from the historical period, the second uses recursive estimates. The distribution under the null hypothesis and also under the alternative hypothesis was derived for both test statistics. Furthermore a simulation study for of the finite sample performance of the monitoring schemes was conducted. | en_US |
| dc.language | Čeština | cs_CZ |
| dc.language.iso | cs_CZ | |
| dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
| dc.title | Rekurzivní postupy pro detekci změny rozdělení | cs_CZ |
| dc.type | diplomová práce | cs_CZ |
| dcterms.created | 2007 | |
| dcterms.dateAccepted | 2007-09-17 | |
| dc.description.department | Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
| dc.description.department | Department of Probability and Mathematical Statistics | en_US |
| dc.description.faculty | Faculty of Mathematics and Physics | en_US |
| dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
| dc.identifier.repId | 43962 | |
| dc.title.translated | Recursive procedures for detection of changes | en_US |
| dc.contributor.referee | Černíková, Alena | |
| dc.identifier.aleph | 000939749 | |
| thesis.degree.name | Mgr. | |
| thesis.degree.level | magisterské | cs_CZ |
| thesis.degree.discipline | Pravděpodobnost, matematická statistika a ekonometrie | cs_CZ |
| thesis.degree.discipline | Probability, mathematical statistics and econometrics | en_US |
| thesis.degree.program | Mathematics | en_US |
| thesis.degree.program | Matematika | cs_CZ |
| uk.thesis.type | diplomová práce | cs_CZ |
| uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
| uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Probability and Mathematical Statistics | en_US |
| uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
| uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
| uk.faculty-abbr.cs | MFF | cs_CZ |
| uk.degree-discipline.cs | Pravděpodobnost, matematická statistika a ekonometrie | cs_CZ |
| uk.degree-discipline.en | Probability, mathematical statistics and econometrics | en_US |
| uk.degree-program.cs | Matematika | cs_CZ |
| uk.degree-program.en | Mathematics | en_US |
| thesis.grade.cs | Výborně | cs_CZ |
| thesis.grade.en | Excellent | en_US |
| uk.abstract.en | In the thesis we study a sequential monitoring scheme for detecting a change in variance. We assume to have a stable historical period of length m. The goal is to propose tests with asymptotically small probability of type I error and power 1 as m tends to infinity. Two such procedures were proposed. The first uses estimates of variance from the historical period, the second uses recursive estimates. The distribution under the null hypothesis and also under the alternative hypothesis was derived for both test statistics. Furthermore a simulation study for of the finite sample performance of the monitoring schemes was conducted. | en_US |
| uk.file-availability | V | |
| uk.publication.place | Praha | cs_CZ |
| uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
| dc.identifier.lisID | 990009397490106986 | |
