| dc.creator | Došlá, Šárka | |
| dc.date.accessioned | 2021-05-19T17:24:43Z | |
| dc.date.available | 2021-05-19T17:24:43Z | |
| dc.date.issued | 2009 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11956/24703 | |
| dc.description.abstract | We study the bimodality of the mixture of two unimodal distributions. In the special cases we give necessary and su±cient conditions ensuring the bimodality of such mixtures. We study the probability of the event that the histogram of a random sample from unimodal distribution indicates two peaks. For some types of unimodal distributions it is possible to simplify this problem and we can study histograms of samples from uniform distribution instead. We show that for increasing number of observations the probability that histogram with N classes has two peaks tends to the probability that the random permutation of numbers 1....N is bimodal. | en_US |
| dc.language | Čeština | cs_CZ |
| dc.language.iso | cs_CZ | |
| dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
| dc.title | Bimodální rozdělení | cs_CZ |
| dc.type | rigorózní práce | cs_CZ |
| dcterms.created | 2009 | |
| dcterms.dateAccepted | 2009-06-10 | |
| dc.description.department | Department of Probability and Mathematical Statistics | en_US |
| dc.description.department | Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
| dc.description.faculty | Faculty of Mathematics and Physics | en_US |
| dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
| dc.identifier.repId | 73828 | |
| dc.title.translated | Bimodal distributions | en_US |
| dc.identifier.aleph | 000831606 | |
| thesis.degree.name | RNDr. | |
| thesis.degree.level | rigorózní řízení | cs_CZ |
| thesis.degree.discipline | Probability, mathematical statistics and econometrics | en_US |
| thesis.degree.discipline | Pravděpodobnost, matematická statistika a ekonometrie | cs_CZ |
| thesis.degree.program | Mathematics | en_US |
| thesis.degree.program | Matematika | cs_CZ |
| uk.thesis.type | rigorózní 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 | Uznáno | cs_CZ |
| thesis.grade.en | Recognized | en_US |
| uk.abstract.en | We study the bimodality of the mixture of two unimodal distributions. In the special cases we give necessary and su±cient conditions ensuring the bimodality of such mixtures. We study the probability of the event that the histogram of a random sample from unimodal distribution indicates two peaks. For some types of unimodal distributions it is possible to simplify this problem and we can study histograms of samples from uniform distribution instead. We show that for increasing number of observations the probability that histogram with N classes has two peaks tends to the probability that the random permutation of numbers 1....N is bimodal. | en_US |
| uk.file-availability | V | |
| uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
| thesis.grade.code | U | |
| uk.publication-place | Praha | cs_CZ |
| uk.thesis.defenceStatus | U | |
| dc.identifier.lisID | 990008316060106986 | |
