A Central Limit Theorem for Non-stationary Strongly Mixing Random Fields

Richard C. Bradley () and Cristina Tone ()
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Richard C. Bradley: Indiana University
Cristina Tone: University of Louisville

Journal of Theoretical Probability, 2017, vol. 30, issue 2, 655-674

Abstract: Abstract In this paper we extend a central limit theorem of Peligrad for uniformly strong mixing random fields satisfying the Lindeberg condition in the absence of stationarity property. More precisely, we study the asymptotic normality of the partial sums of uniformly $$\alpha $$ α -mixing non-stationary random fields satisfying the Lindeberg condition, in the presence of an extra dependence assumption involving maximal correlations.

Keywords: Central limit theorem; Non-stationary random fields; Strong mixing; Lindeberg condition; Kolmogorov’s distance; 60F05; 60G60 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10959-015-0656-2

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