21 research outputs found
On the convergence rates in the asymmetric SLLN for independent and nonidentically distributed random fields
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Convergence rates in the SLLN for some classes of dependent random fields
Get PDFAbstractLet {Xn,nāNr} be a random field i.e. a family of random variables indexed by Nr, rā©¾2. We discuss complete convergence and convergence rates under assumption on dependence structure of random fields in the case of nonidentical distributions. Results are obtained for negatively associated random fields, Ļā-mixing random fields (having maximal coefficient of correlation strictly smaller then 1) and martingale random fields
Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space
No full textOn complete moment convergence for arrays of rowwise negatively associated random variables
No full textOn Continuity of the Pearson Statistic and Sample Quantiles
No full textPearson statistic, Sample q-quantiles, Contingency tables, Array continuity, ARMA models, Stable random vectors,
L p -convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in R d
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