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  1. No Access

    Article

    Almost sure limit behavior of Cesàro sums with small order

    Various methods of summation for divergent series have been extended to analogs for sums of i.i.d. random variables. The present paper deals with a special class of matrix weighted sums of i.i.d. random variab...

    A. Gut, U. Stadtmüller in Acta Mathematica Hungarica (2017)

  2. No Access

    Article

    Poisson summation for functions of bounded variation on ℝd

    A one-dimensional version of the Poisson summation formula for functions of bounded variation due to R.M. Trigub is extended to the multivariate case under minimal assumptions on functions.

    E. Liflyand, U. Stadtmüller in Acta Scientiarum Mathematicarum (2014)

  3. No Access

    Article

    An Interplay of Multidimensional Variations in Fourier Analysis

    We compare the Fourier integral of a function of bounded variation and the corresponding trigonometric series, generated by that function, in the multidimensional case. Several known notions of bounded variati...

    E. Liflyand, U. Stadtmüller, R. Trigub in Journal of Fourier Analysis and Applications (2011)

  4. No Access

    Article

    On the strong law of large numbers for delayed sums and random fields

    A paper by Chow [3] contains (i.a.) a strong law for delayed sums, such that the length of the edge of the nth window equals n α for 0 < α < 1. In this ...

    A. Gut, U. Stadtmüller in Acta Mathematica Hungarica (2010)

  5. No Access

    Chapter and Conference Paper

    Dimensions of Credit Risk

    To understand the contribution of various risk factors to the overall riskiness of credit-risky portfolios is one of the most challenging tasks in contemporary finance. Recently, the importance of this issue h...

    R. Kiesel, U. Stadtmüller in Exploratory Data Analysis in Empirical Research (2003)

  6. No Access

    Article

    One-sided Tauberian conditions and double sequences

    We give a theorem of Vijayaraghavan type for summability methods for double sequences, which allows a conclusion from boundedness in a mean and a one-sided Tauberian condition to the boundedness of the sequenc...

    U. Stadtmüller in Periodica Mathematica Hungarica (2002)

  7. No Access

    Chapter

    Statistical Aspects of Sampling for Noisy and Grouped Data

    The problem of recovering a signal in the class of bandlimited functions from its sampled values observed in the presence of noise is studied. We consider a situation when discrete data points ar...

    M. Pawlak, U. Stadtmüller in Modern Sampling Theory (2001)

  8. No Access

    Article

    Tauberian theorems for weighted means of double sequences

    We discuss the relations between weighted mean methods and ordinary convergence for double sequences. In particular, we study Tauberian theorems also for methods not being products of the related one-dimension...

    U. Stadtmüller, У. Щтадтмуллер in Analysis Mathematica (1999)

  9. No Access

    Article

    Kernel approximations of a wiener process

    Let a standard Wiener processW(.) be given on the real line. We investigate the asymptotic behaviour of $$X_h (x) = h^{ - 1} \smallint...

    U. Stadtmüller in Periodica Mathematica Hungarica (1988)

  10. No Access

    Article

    Asymptotic properties of nonparametric curve estimates

    We consider a class of nonparametric estimators for the regression functionm(t) in the model:y i =m(t i ) + ε i ...

    U. Stadtmüller in Periodica Mathematica Hungarica (1986)

  11. No Access

    Article

    Asymptotic distributions of smoothed histograms

    As an estimator \(\hat f_N \) for an unknown probability density functionf, concentrated on a known intervalI, one c...

    U. Stadtmüller in Metrika (1983)

  12. No Access

    Article

    Smoothing histograms by means of lattice-and continuous distributions

    Using lattice distributions or an auxiliary density function each satisfying certain moment conditions a general type of estimator for a one dimensional density functionf is developed. This estimator can be looke...

    W. Gawronski, U. Stadtmüller in Metrika (1981)