Limit Theorems for Bivariate Generalised Order Statistics in Stationary Gaussian Sequences with Random Sample Sizes
2019 ◽
Vol 73
(6)
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pp. 525-532
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Set Up
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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.
1998 ◽
Vol 30
(03)
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pp. 777-806
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1998 ◽
Vol 30
(3)
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pp. 777-806
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1973 ◽
Vol 73
(1)
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pp. 139-144
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1984 ◽
Vol 38
(1)
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pp. 13-19
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1988 ◽
Vol 42
(3)
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pp. 193-198
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1999 ◽
Vol 36
(3)
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pp. 632-643
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1999 ◽
Vol 36
(03)
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pp. 632-643
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2010 ◽
Vol 80
(1)
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pp. 13-28
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