On stability of the characterization of the Cauchy law
The assumption that two linear statistics are identically distributed can be used to characterize various populations. According to B. Ramachandran and C.R. Rao theorem, if under the additional conditions the two sample means (X1, ..., Xn1)/n1 and (X1, ..., Xn2)/n2 have the same distribution as the...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/29320 |
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| author | Romanas Januškevičius Stasė Baliukonytė |
| author_facet | Romanas Januškevičius Stasė Baliukonytė |
| author_sort | Romanas Januškevičius |
| collection | DOAJ |
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The assumption that two linear statistics are identically distributed can be used to characterize various populations. According to B. Ramachandran and C.R. Rao theorem, if under the additional conditions the two sample means (X1, ..., Xn1)/n1 and (X1, ..., Xn2)/n2 have the same distribution as the monomial X1 then this monomial has a Cauchy law. The stability estimation in this theorem is investigated in our paper.
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| format | Article |
| id | doaj-art-1e556917b1884e4b9102133ca63fff35 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-1e556917b1884e4b9102133ca63fff352025-01-20T18:15:39ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.29320On stability of the characterization of the Cauchy lawRomanas Januškevičius0Stasė Baliukonytė1Vilnius Pedagogical UniversityVilnius Pedagogical University The assumption that two linear statistics are identically distributed can be used to characterize various populations. According to B. Ramachandran and C.R. Rao theorem, if under the additional conditions the two sample means (X1, ..., Xn1)/n1 and (X1, ..., Xn2)/n2 have the same distribution as the monomial X1 then this monomial has a Cauchy law. The stability estimation in this theorem is investigated in our paper. https://www.journals.vu.lt/LMR/article/view/29320Cauchy lawidentically distributed statisticscharacterization theoremsstability theorems |
| spellingShingle | Romanas Januškevičius Stasė Baliukonytė On stability of the characterization of the Cauchy law Lietuvos Matematikos Rinkinys Cauchy law identically distributed statistics characterization theorems stability theorems |
| title | On stability of the characterization of the Cauchy law |
| title_full | On stability of the characterization of the Cauchy law |
| title_fullStr | On stability of the characterization of the Cauchy law |
| title_full_unstemmed | On stability of the characterization of the Cauchy law |
| title_short | On stability of the characterization of the Cauchy law |
| title_sort | on stability of the characterization of the cauchy law |
| topic | Cauchy law identically distributed statistics characterization theorems stability theorems |
| url | https://www.journals.vu.lt/LMR/article/view/29320 |
| work_keys_str_mv | AT romanasjanuskevicius onstabilityofthecharacterizationofthecauchylaw AT stasebaliukonyte onstabilityofthecharacterizationofthecauchylaw |