Approximations to distribution of median in stratified samples
We consider an Edgeworth type approximation to the distribution function of sample median in the case of stratified samples drawn without replacement. We give explicit expression of this approximation, and also its empirical version based on bootstrap. We compare their accuracy with that of the norm...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2011-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/15449 |
| _version_ | 1818335855132016640 |
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| author | Andrius Čiginas Tomas Rudys |
| author_facet | Andrius Čiginas Tomas Rudys |
| author_sort | Andrius Čiginas |
| collection | DOAJ |
| description | We consider an Edgeworth type approximation to the distribution function of sample median in the case of stratified samples drawn without replacement. We give explicit expression of this approximation, and also its empirical version based on bootstrap. We compare their accuracy with that of the normal approximation by numerical examples. |
| first_indexed | 2024-12-13T14:30:03Z |
| format | Article |
| id | doaj.art-e4a0ccf1952643fdbc60ef72ffe5f837 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-12-13T14:30:03Z |
| publishDate | 2011-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-e4a0ccf1952643fdbc60ef72ffe5f8372022-12-21T23:41:51ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2011-12-0152proc. LMS10.15388/LMR.2011.st01Approximations to distribution of median in stratified samplesAndrius Čiginas0Tomas Rudys1Vilnius UniversityVilnius Gedimino Technical UniversityWe consider an Edgeworth type approximation to the distribution function of sample median in the case of stratified samples drawn without replacement. We give explicit expression of this approximation, and also its empirical version based on bootstrap. We compare their accuracy with that of the normal approximation by numerical examples.https://www.journals.vu.lt/LMR/article/view/15449finite populationstratified sample without replacementHoeffding decompositionEdgeworth expansionbootstrap |
| spellingShingle | Andrius Čiginas Tomas Rudys Approximations to distribution of median in stratified samples Lietuvos Matematikos Rinkinys finite population stratified sample without replacement Hoeffding decomposition Edgeworth expansion bootstrap |
| title | Approximations to distribution of median in stratified samples |
| title_full | Approximations to distribution of median in stratified samples |
| title_fullStr | Approximations to distribution of median in stratified samples |
| title_full_unstemmed | Approximations to distribution of median in stratified samples |
| title_short | Approximations to distribution of median in stratified samples |
| title_sort | approximations to distribution of median in stratified samples |
| topic | finite population stratified sample without replacement Hoeffding decomposition Edgeworth expansion bootstrap |
| url | https://www.journals.vu.lt/LMR/article/view/15449 |
| work_keys_str_mv | AT andriusciginas approximationstodistributionofmedianinstratifiedsamples AT tomasrudys approximationstodistributionofmedianinstratifiedsamples |