| Authors | , |
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| Journal | Communications in Statistics - Theory and Methods |
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| Page number | 1-10 |
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| IF | 0.311 |
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| Paper Type | Full Paper |
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| Published At | 2021 |
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| Journal Grade | ISI |
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| Journal Type | Typographic |
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| Journal Country | Iran, Islamic Republic Of |
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| Journal Index | JCR،Scopus |
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| Keywords | APND random variables; Kolmogrov, Feller weak law of large numbers; END random variables; stochastically bounded; random elements |
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Abstract
In this paper, we consider a special class of dependent random variables (APND) that contains negative dependent random variables
classes(ND,PND,NUOD,NA,NLOD,) and some classes of positive
dependent random variables. Then we generalize Kolmogrov–Feller
weak law of large numbers for i.i.d. random variables to APND random variables. we further give corresponding forms of dependence
for random elements taking values in separable Banach space. This
development will be of use for obtaining Banach space weak law of
large numbers
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