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An almost sure invariance principle for trimmed sums of random vectors
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2010 |
| Abstract | Let {Xn; n ≥ 1} be a sequence of independent and identically distributed random vectors in ℜp with Euclidean norm |·|, and let Xn(r) = Xm if |Xm| is the r-th maximum of {|Xk|; k ≤ n}. Define Sn = Σk≤nXk and (r)Sn − (Xn(1) + ... + Xn(r)). In this paper a generalized strong invariance principle for the trimmed sums (r)Sn is derived. |
| Starting Page | 611 |
| Ending Page | 618 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s12044-010-0052-x |
| Alternate Webpage(s) | https://www.ias.ac.in/article/fulltext/pmsc/120/05/0611-0618 |
| Alternate Webpage(s) | https://doi.org/10.1007/s12044-010-0052-x |
| Volume Number | 120 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
