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- W2034669852 abstract "We consider a $psi$-irreducible, discrete-time Markov chain on a general state space with transition kernel $P$. Under suitable conditions on the chain, kernels can be treated as bounded linear operators between spaces of functions or measures and the Drazin inverse of the kernel operator $I - P$ exists. The Drazin inverse provides a unifying framework for objects governing the chain. This framework is applied to derive a computational technique for the asymptotic variance in the central limit theorems of univariate and higher-order partial sums. Higher-order partial sums are treated as univariate sums on a `sliding-window' chain. Our results are demonstrated on a simple AR(1) model and suggest a potential for computational simplification." @default.
- W2034669852 created "2016-06-24" @default.
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- W2034669852 date "2007-01-01" @default.
- W2034669852 modified "2023-09-24" @default.
- W2034669852 title "Asymptotic variance of functionals of discrete-time Markov chains via the Drazin inverse." @default.
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- W2034669852 doi "https://doi.org/10.1214/ecp.v12-1262" @default.
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