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On convergence of the distributions of statistics constructed from samples with random sizes to normal variance-mean mixtures 1
| Content Provider | Semantic Scholar |
|---|---|
| Author | Korolev, Victor Zeifman, Alexander I. |
| Copyright Year | 2014 |
| Abstract | We prove a general transfer theorem for multivariate random sequences with independent random indexes in the double array limit setting. We also prove its partial inverse providing necessary and sufficient conditions forthe convergence of randomly indexed random sequences. Special attention is paid to the case where the elements of the basic double array are formed as statistics constructed from samples with random sizes. Under rather natural conditions we prove the theorem on convergence of the distributions of such statistics to normal variance-mean mixtures. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1410.1518v2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
