Confidence ellipses for simple regression parameters with strongly mixing errors
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DOI: 10.2298/fil2302591e
Abstract: In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing… read more here.
Keywords: ellipses simple; confidence; mixing errors; simple regression ... See more keywords
Mildly Explosive Autoregression with Strong Mixing Errors
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DOI: 10.3390/e24121730
Abstract: In this paper, we consider the mildly explosive autoregression yt=ρnyt−1+ut, 1≤t≤n, where ρn=1+c/nν, c>0, ν∈(0,1), and u1,…,un are arithmetically α-mixing errors. Under some weak conditions, such as Eu1=0, E|u1|4+δ0 and mixing coefficients α(n)=O(n−(2+8/δ)), the Cauchy… read more here.
Keywords: explosive autoregression; mixing errors; mildly explosive; limiting distribution ... See more keywords