Butzer, P. L.; Kirschfink, H.; van Wickeren, E. Weak convergence of probability measures in \(C_ b(C[0,1])\) equipped with rates. (English) Zbl 0661.60006 Numer. Funct. Anal. Optimization 10, No. 5-6, 499-515 (1989). MSC: 60B10 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Numer. Funct. Anal. Optim. 10, No. 5--6, 499--515 (1989; Zbl 0661.60006) Full Text: DOI
Butzer, Paul L.; Kirschfink, Heribert; Schulz, Dietmar An extension of the Lindeberg-Trotter operator-theoretic approach to limit theorems for dependent random variables. II: Approximation theorems with O-rates, applications to martingale difference arrays. (English) Zbl 0647.60025 Acta Sci. Math. 51, No. 3-4, 423-433 (1987). Reviewer: L.Hahn MSC: 60F05 60G46 41A25 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Acta Sci. Math. 51, No. 3--4, 423--433 (1987; Zbl 0647.60025)
Butzer, Paul L.; Schulz, Dietmar An extension of the Lindeberg-Trotter operator-theoretic approach to limit theorems for dependent random variables. I: General convergence theorems; approximation theorems with o-rates. (English) Zbl 0585.60031 Acta Sci. Math. 48, 37-54 (1985). Reviewer: A.K.Basu MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{D. Schulz}, Acta Sci. Math. 48, 37--54 (1985; Zbl 0585.60031)
Butzer, Paul L.; Schulz, D. General random sum limit theorems for martingales with large O-rates. (English) Zbl 0527.60024 Z. Anal. Anwend. 2, No. 2, 97-109 (1983). MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{D. Schulz}, Z. Anal. Anwend. 2, No. 2, 97--109 (1983; Zbl 0527.60024) Full Text: DOI
Butzer, Paul L.; Hahn, L.; Roeckerath, M. Th. Central limit theorem and weak law of large numbers with rates for martingales in Banach spaces. (English) Zbl 0515.60014 J. Multivariate Anal. 13, 287-301 (1983). MSC: 60B12 60B10 60G42 60F05 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., J. Multivariate Anal. 13, 287--301 (1983; Zbl 0515.60014) Full Text: DOI
Butzer, Paul L.; Hahn, L.; Roeckerath, M. Th. Stable limit law and weak law of large numbers for Hilbert space with ”large-\({\mathcal O}''\) rates. (English) Zbl 0533.60030 Contributions to probability, Collect. Pap. dedic. E. Lukacs, 77-100 (1981). MSC: 60F05 60G50 60B12 41A25 PDFBibTeX XML
Butzer, Paul L. The Banach-Steinhaus theorem with rates, and applications to various branches of analysis. (English) Zbl 0442.41033 General inequalities 2, Proc. 2nd int. Conf., Oberwolfach 1978, ISNM Vol. 47, 299-331 (1980). MSC: 41A65 41A25 46B99 PDFBibTeX XML
Butzer, Paul L.; Hahn, L. On the connections between the rates of norm and weak convergence in the central limit theorem. (English) Zbl 0431.60024 Math. Nachr. 91, 245-251 (1979). MSC: 60F05 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{L. Hahn}, Math. Nachr. 91, 245--251 (1979; Zbl 0431.60024) Full Text: DOI
Butzer, Paul L.; Hahn, L.; Roeckerath, M. Th. General theorems on ”Little-\(\mathcal O\)” rates of closeness of two weighted sums of independent Hilbert space valued random variables with applications. (English) Zbl 0428.60028 J. Multivariate Anal. 9, 487-510 (1979). MSC: 60F05 60G50 41A25 60B12 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., J. Multivariate Anal. 9, 487--510 (1979; Zbl 0428.60028) Full Text: DOI
Butzer, Paul L.; Gather, U. Asymptotic expansions for central limit theorems for general linear stochastic processes. II: Models of the general random noise and pulse train processes. (English) Zbl 0419.60017 Math. Methods Appl. Sci. 1, 346-353 (1979). MSC: 60F05 60G20 60G35 93E10 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{U. Gather}, Math. Methods Appl. Sci. 1, 346--353 (1979; Zbl 0419.60017) Full Text: DOI
Butzer, Paul L.; Gather, U. Asymptotic expansions for central limit theorems for general linear stochastic processes. I: General theorems on rates of convergence. (English) Zbl 0419.60016 Math. Methods Appl. Sci. 1, 241-264 (1979). MSC: 60F05 60G20 60G35 93E10 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{U. Gather}, Math. Methods Appl. Sci. 1, 241--264 (1979; Zbl 0419.60016) Full Text: DOI
Butzer, Paul L.; Dickmeis, W.; Hahn, L.; Nessel, R. J. Lax-type theorems and a unified approach to some limit theorems in probability theory with rates. (English) Zbl 0417.60031 Result. Math. 2, 30-53 (1979). MSC: 60F05 41A35 41A65 47D03 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Result. Math. 2, 30--53 (1979; Zbl 0417.60031) Full Text: DOI