Multivariate linear recursions with Markov-dependent coefficients
We study a linear recursion with random Markov-dependent coefficients. In a "regular variation in, regular variation out" setup we show that its stationary solution has a multivariate regularly varying distribution. This extends results previously established for i.i.d. coefficients.
Year of publication: |
2011
|
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Authors: | Hay, Diana ; Rastegar, Reza ; Roitershtein, Alexander |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 102.2011, 3, p. 521-527
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Publisher: |
Elsevier |
Keywords: | Random vector equations Multivariate random recursions Stochastic difference equation Tail asymptotic Heavy tails Multivariate regular variation |
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