Marcinkiewicz strong laws for linear statistics of p*-mixing sequences of random variables
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| Format: | Artículo científico |
| Langue: | en |
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Academia Brasileira de Ciências
2006
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| _version_ | 1876469138539413504 |
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| author | Guang-Hui Cai |
| author_facet | Guang-Hui Cai |
| contents | Marcinkiewicz strong laws for linear statistics of p*-mixing sequences of random variables Guang-Hui Cai Multidisciplinaria (Ciencias Naturales y Exactas) ρ mixing Marcinkiewicz weighted sums Zygmund strong laws Strong laws are established for linear statistics that are weighted sums of a random sample. Weshow extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions onboth the weights and the distribution. These not only generalize the result of Bai and Cheng (2000,Statist Probab Lett 46: 105 112) to ρ*-mixing sequences of random variables, but also improvethem. 2006 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32778401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.78 |
| format | Artículo científico |
| id | redalyc_32778401 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Marcinkiewicz strong laws for linear statistics of p*-mixing sequences of random variables Guang-Hui Cai Multidisciplinaria (Ciencias Naturales y Exactas) ρ mixing Marcinkiewicz weighted sums Zygmund strong laws Marcinkiewicz strong laws for linear statistics of p*-mixing sequences of random variables Guang-Hui Cai Multidisciplinaria (Ciencias Naturales y Exactas) ρ mixing Marcinkiewicz weighted sums Zygmund strong laws Strong laws are established for linear statistics that are weighted sums of a random sample. Weshow extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions onboth the weights and the distribution. These not only generalize the result of Bai and Cheng (2000,Statist Probab Lett 46: 105 112) to ρ*-mixing sequences of random variables, but also improvethem. 2006 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32778401 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.78 |
| title | Marcinkiewicz strong laws for linear statistics of p*-mixing sequences of random variables |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) ρ mixing Marcinkiewicz weighted sums Zygmund strong laws |
| url | https://www.redalyc.org/articulo.oa?id=32778401 |