On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables
In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of 𝜌∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/140548 |
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| _version_ | 1832556525576519680 |
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| author | Anna Kuczmaszewska |
| author_facet | Anna Kuczmaszewska |
| author_sort | Anna Kuczmaszewska |
| collection | DOAJ |
| description | In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of 𝜌∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN. |
| format | Article |
| id | doaj-art-c7309beb680a41059aa2f7a61880cbd6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c7309beb680a41059aa2f7a61880cbd62025-02-03T05:45:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/140548140548On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random VariablesAnna Kuczmaszewska0Department of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38 D, 20-618 Lublin, PolandIn this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of 𝜌∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.http://dx.doi.org/10.1155/2008/140548 |
| spellingShingle | Anna Kuczmaszewska On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables Discrete Dynamics in Nature and Society |
| title | On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables |
| title_full | On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables |
| title_fullStr | On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables |
| title_full_unstemmed | On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables |
| title_short | On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables |
| title_sort | on chung teicher type strong law of large numbers for 𝜌∗ mixing random variables |
| url | http://dx.doi.org/10.1155/2008/140548 |
| work_keys_str_mv | AT annakuczmaszewska onchungteichertypestronglawoflargenumbersforρmixingrandomvariables |