Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequ...
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| Format: | Article |
| Language: | English |
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University of Tehran
2007-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdf |
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| author | M. Amini |
| author_facet | M. Amini |
| author_sort | M. Amini |
| collection | DOAJ |
| description | Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence . |
| format | Article |
| id | doaj-art-dfb07161f26a414e83a599faa585587e |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-dfb07161f26a414e83a599faa585587e2025-08-20T03:08:50ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142007-12-0118431131635073Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random VariablesM. Amini0Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of IranLet be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdf |
| spellingShingle | M. Amini Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables Journal of Sciences, Islamic Republic of Iran |
| title | Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables |
| title_full | Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables |
| title_fullStr | Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables |
| title_full_unstemmed | Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables |
| title_short | Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables |
| title_sort | complete convergence and some maximal inequalities for weighted sums of random variables |
| url | https://jsciences.ut.ac.ir/article_35073_d621f17bd3310b1e9969d451974cb757.pdf |
| work_keys_str_mv | AT mamini completeconvergenceandsomemaximalinequalitiesforweightedsumsofrandomvariables |