数学学报：英文版, 2012, Vol.28 (6), p.1103-1118
2012
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- Autor(en) / Beteiligte
- Titel
- Laws of Large Numbers for Ceshro alpha-integrable Random Variables under Dependence Condition AANA or AQSI
- Ist Teil von
- 数学学报：英文版, 2012, Vol.28 (6), p.1103-1118
- Erscheinungsjahr
- 2012
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- Alma/SFX Local Collection
- Beschreibungen/Notizen
- Both residual Cesaro alpha-integrability （RCI（α） and strongly residual Cesaro alpha- integrability （SRCI（α）） are two special kinds of extensions to uniform integrability, and both asymptotically almost negative association （AANA） and asymptotically quadrant sub-independence （AQSI） are two special kinds of dependence structures. By relating the RCI（α） property as well as the SRCI（α） property with dependence condition AANA or AQSI, we formulate some tail-integrability conditions under which for appropriate α the RCI（（α） property yields Ll-convergence results and the SRCI（α） property yields strong laws of large numbers, which is the continuation of the corresponding literature.