Let (X,ε,μ) be a measure space and let ƒ:X→ ℝ be a measurable function such that ||ƒ||p < ∞ for all p ≥ 1 and ||ƒ||∞ >0. In this paper, we describe the rate of convergence of ((||ƒ||p)¦(||ƒ||∞))p as p →∞
Abstract. Let X, XI, X,,... be i.i.d, random variables with the common distribution F. Further, let...
summary:In this paper we analyze relations among several types of convergences of bounded sequences,...
AbstractLet {Xn,n⩾1} be a sequence of i.i.d. random vectors taking values in a 2-smooth separable Ba...
Several notions of convergence for subsets of metric spaces appear in the literature. In this paper...
Let Xi, i >= 1, be a sequence of [phi]-mixing random variables with values in a sample space (X, A)....
Abstract Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $E...
AbstractWe introduce new types of convergence of sequences of measurable functions stronger than con...
none3noGiven a sequence (mn) of random probability measures on a metric space S, consider the condit...
All norms in this section are defined elementwise. To recap, we solve the following problem: min ‖X‖...
Let (X,Σ,m) denote a complete non-atomic probability space, and let τ be a measurable measure preser...
none4noThis paper deals with empirical processes of the type Cn(B)=n−−√{μn(B)−P(Xn+1∈B∣X1,…,Xn)}, wh...
Bayesian, posterior probability, exponential rate, f-uniform convergence, Q-uniform convergence,
Abstract Let us denote by Pd the set of all probability measures on IRd (d ≥ 2), and by M(µ) the set...
Götze F. ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES. ANNALS OF PROBABI...
s | be independent and identically distributed random variables with zero mean, unit variance and fi...
Abstract. Let X, XI, X,,... be i.i.d, random variables with the common distribution F. Further, let...
summary:In this paper we analyze relations among several types of convergences of bounded sequences,...
AbstractLet {Xn,n⩾1} be a sequence of i.i.d. random vectors taking values in a 2-smooth separable Ba...
Several notions of convergence for subsets of metric spaces appear in the literature. In this paper...
Let Xi, i >= 1, be a sequence of [phi]-mixing random variables with values in a sample space (X, A)....
Abstract Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $E...
AbstractWe introduce new types of convergence of sequences of measurable functions stronger than con...
none3noGiven a sequence (mn) of random probability measures on a metric space S, consider the condit...
All norms in this section are defined elementwise. To recap, we solve the following problem: min ‖X‖...
Let (X,Σ,m) denote a complete non-atomic probability space, and let τ be a measurable measure preser...
none4noThis paper deals with empirical processes of the type Cn(B)=n−−√{μn(B)−P(Xn+1∈B∣X1,…,Xn)}, wh...
Bayesian, posterior probability, exponential rate, f-uniform convergence, Q-uniform convergence,
Abstract Let us denote by Pd the set of all probability measures on IRd (d ≥ 2), and by M(µ) the set...
Götze F. ON THE RATE OF CONVERGENCE IN THE CENTRAL-LIMIT-THEOREM IN BANACH-SPACES. ANNALS OF PROBABI...
s | be independent and identically distributed random variables with zero mean, unit variance and fi...
Abstract. Let X, XI, X,,... be i.i.d, random variables with the common distribution F. Further, let...
summary:In this paper we analyze relations among several types of convergences of bounded sequences,...
AbstractLet {Xn,n⩾1} be a sequence of i.i.d. random vectors taking values in a 2-smooth separable Ba...