Some inequalities for strong martingales
Some new Chacon-Edgar-type inequalities for stochastic processes, and characterizations of Vitali-conditions
Some remarks on ratio inequalities for continuous martingales
Some remarks on tangent martingale difference sequences in -spaces.
Some Remarks on the Construction of Independent Identically Distributed Random Variables, Markov Chains and Martingales.
Some remarks on the martingales satisfying the structure equation
Stochastic analysis of Bernoulli processes.
Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
The martingale Hardy space and the classical Hardy space are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from to (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified and a...
Summability estimates of double Vilenkin-Fourier series.
Summability of Martingales with Two-dimensional Parameter.
Sur certaines propriétés des espaces de Banach et
Sur la loi des grands nombres pour les martingales vectorielles et l'estimateur des moindres carrés d'un modèle de régression
Sur l’espace de martingales régulières
Surmartingales-mesures
The central limit problem for strictly stationary sequences [Abstract of thesis]
The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces
We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the Banach space. Some corollaries are derived from the main results, they are more general than some well-known ones.
The Hájek asymptotics for finite population sampling and their ramifications
The hyperharmonic numbers and the phratry of the coupon collector. (Les nombres hyperharmoniques et la fratrie du collectionneur de vignettes.)
The Maximal (C, ...) Operator of Two-Parameter Walsh-Fourier Series.
The maximal variation of a bounded martingale and the central limit theorem