Limit theory for moderate deviations from a unit root under weak dependence

An asymptotic theory is given for autoregressive time series with weakly dependent innovations and a root of the form rho_{n} = 1+c/n^{alpha}, involving moderate deviations from unity when alpha in (0,1) and c in R are constant parameters. The limit theory combines a functional law to a diffusion on...

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Bibliographic Details
Main Authors: PHILLIPS, Peter C. B., Magadalinos, Tassos
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2007
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Online Access:https://ink.library.smu.edu.sg/soe_research/1117
https://ink.library.smu.edu.sg/context/soe_research/article/2116/viewcontent/10.1.1.183.6875.pdf
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Institution: Singapore Management University
Language: English