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Some More Results on Rates of Convergence in the Law of Large Numbers for Weighted Sums of Independent Random Variableso
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hanson, David L. |
| Copyright Year | 2010 |
| Abstract | are of interest in certain practical statistical and probabilistic problems. We have not attempted to provide a complete listing of the work done in this area. [1] through [11] contain several different types of current work, and provide a fairly large, though by no means complete, bibliography for this area. The results given here extend and sharpen the results of [6] giving rates of convergence of Pd-S^l >e} to zero. There are five theorems in [6], each involving as a hypothesis some condition closely related to the existence of FlA^ — FA"^'. In the next section we extend and sharpen some of these theorems by considering separately the cases f¿2 and t>2; in addition, we provide a theorem giving series convergence under weaker moment conditions than were used in [6] but under |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1969-141-00/S0002-9947-1969-0247650-0/S0002-9947-1969-0247650-0.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Attempt Bibliography Convergence (action) Parkinson Disease Rate of convergence |
| Content Type | Text |
| Resource Type | Article |
