Limit theorems for the negative parts of weighted multivariate empirical processes with application

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Cites Work

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A strong limit theorem for the oscillation modulus of the uniform empirical quantile process
Rates of growth and sample moduli for weighted empirical processes indexed by sets
A general form of the law of the iterated logarithm for the weighted multivariate empirical process
The order of magnitude of the moments of the modulus of continuity of multiparameter Poisson and empirical processes
The almost sure behavior of the oscillation modulus of the multivariate empirical process
The almost sure behavior of maximal and minimal multivariate \(k_ n\)- spacings
Laws of the iterated logarithm in the tails for weighted uniform empirical processes
Strong limit theorems for weighted quantile processes
Asymptotic normality of generalized L-statistics with unbounded scores
A functional law of the iterated logarithm for weighted empirical distributions
Linear bounds on the empirical distribution function
Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
On the Deviations of the Empiric Distribution Function of Vector Chance Variables
The law of the iterated logarithm for normalized empirical distribution function
Limit theorems for the ratio of the empirical distribution function to the true distribution function
Probability Inequalities for Sums of Bounded Random Variables
An inequality involving multinomial probabilities

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