On characterization of the Cauchy law by sample mean properties
The characterization of Cauchy distribution by assuming the identical distribution of a monomial and sample mean has been considered by B. Ramachandran, C.R. Rao, Y.H. Wang and other authors. The new proofs of Ramachandran-Rao and Wang's theorem are proposed in our paper.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/32275 |
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| _version_ | 1832593222516342784 |
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| author | Romanas Januškevičius |
| author_facet | Romanas Januškevičius |
| author_sort | Romanas Januškevičius |
| collection | DOAJ |
| description |
The characterization of Cauchy distribution by assuming the identical distribution of a monomial and sample mean has been considered by B. Ramachandran, C.R. Rao, Y.H. Wang and other authors. The new proofs of Ramachandran-Rao and Wang's theorem are proposed in our paper.
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| format | Article |
| id | doaj-art-caa9b2b8818c466ea326c87322aee69b |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-caa9b2b8818c466ea326c87322aee69b2025-01-20T18:16:16ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.32275On characterization of the Cauchy law by sample mean propertiesRomanas Januškevičius0Institute of Mathematics and Informatics The characterization of Cauchy distribution by assuming the identical distribution of a monomial and sample mean has been considered by B. Ramachandran, C.R. Rao, Y.H. Wang and other authors. The new proofs of Ramachandran-Rao and Wang's theorem are proposed in our paper. https://www.journals.vu.lt/LMR/article/view/32275characterization theoremsstability theoremsCauchy distribution |
| spellingShingle | Romanas Januškevičius On characterization of the Cauchy law by sample mean properties Lietuvos Matematikos Rinkinys characterization theorems stability theorems Cauchy distribution |
| title | On characterization of the Cauchy law by sample mean properties |
| title_full | On characterization of the Cauchy law by sample mean properties |
| title_fullStr | On characterization of the Cauchy law by sample mean properties |
| title_full_unstemmed | On characterization of the Cauchy law by sample mean properties |
| title_short | On characterization of the Cauchy law by sample mean properties |
| title_sort | on characterization of the cauchy law by sample mean properties |
| topic | characterization theorems stability theorems Cauchy distribution |
| url | https://www.journals.vu.lt/LMR/article/view/32275 |
| work_keys_str_mv | AT romanasjanuskevicius oncharacterizationofthecauchylawbysamplemeanproperties |