Invariance principle for stochastic processes with short memory
نویسنده
چکیده
Abstract: In this paper we give simple sufficient conditions for linear type processes with short memory that imply the invariance principle. Various examples including projective criterion are considered as applications. In particular, we treat the weak invariance principle for partial sums of linear processes with short memory. We prove that whenever the partial sums of innovations satisfy the Lp–invariance principle, then so does the partial sums of its corresponding linear process.
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