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Limit Theorems for Bivariate Generalised Order Statistics in Stationary Gaussian Sequences with Random Sample Sizes.
- Source :
-
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact & Applied Sciences . 2019, Vol. 73 Issue 6, p525-532. 8p. - Publication Year :
- 2019
-
Abstract
- In this paper, we study the limit distribution functions of the (lower-lower), (upper-upper) and (lower-upper) extreme and central-central m-generalised order statistics (m–GOS) of stationary Gaussian sequences under an equi-correlated set up, when the random sample size is assumed to converge weakly and independent of the basic variables. Moreover, sufficient conditions for a weak convergence of generalised quasi-range with random indices are obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1407009X
- Volume :
- 73
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact & Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 141051316
- Full Text :
- https://doi.org/10.2478/prolas-2019-0080