Add to ORKGIn this paper two Kolmogorov inequalities are presented for the sample average of independent (but not necessarily identically distributed) Bernoulli random variables.Kolmogorov inequalities Bernoulli random variables
International audienceIn this note we establish a uniform bound for the distribution of a sum$S_n=X_...
Some properties of conditionally independent random variables are studied. Conditional versions of g...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...
This note presents a Kolmogorov inequality for the partial sums of a sequence of independent Bernoul...
Sharpened versions of a Kolmogorov's inequality for sums of independent Bernoulli random variables a...
AbstractWe consider linear combinations of independent identically distributed random variables in L...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
ABSTRACT: Let Sk be the k-th partial sum of Banach space valued indepen-dent identically distributed...
AbstractWe give a comparison inequality that allows one to estimate the tail probabilities of sums o...
AbstractA classic result in probability theory states that two independent real-valued random variab...
The paper deals with the invariance principle for sums of independent identically distributed random...
We know that the partial means mrof a sequence of i.i.d. standardized random variables tend to 0 wit...
Bernoulli, binary random variables, elementary symmetric functions, monotone likelihood ratio,
In his fundamental paper (1953) [23], entitled "On the Theory of Order Statistics", A. Rényi develop...
International audienceIn this note we establish a uniform bound for the distribution of a sum$S_n=X_...
Some properties of conditionally independent random variables are studied. Conditional versions of g...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...
This note presents a Kolmogorov inequality for the partial sums of a sequence of independent Bernoul...
Sharpened versions of a Kolmogorov's inequality for sums of independent Bernoulli random variables a...
AbstractWe consider linear combinations of independent identically distributed random variables in L...
Let (Xn) be a sequence of Bernoulli random variables and N a positive integer value random variable....
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
ABSTRACT: Let Sk be the k-th partial sum of Banach space valued indepen-dent identically distributed...
AbstractWe give a comparison inequality that allows one to estimate the tail probabilities of sums o...
AbstractA classic result in probability theory states that two independent real-valued random variab...
The paper deals with the invariance principle for sums of independent identically distributed random...
We know that the partial means mrof a sequence of i.i.d. standardized random variables tend to 0 wit...
Bernoulli, binary random variables, elementary symmetric functions, monotone likelihood ratio,
In his fundamental paper (1953) [23], entitled "On the Theory of Order Statistics", A. Rényi develop...
International audienceIn this note we establish a uniform bound for the distribution of a sum$S_n=X_...
Some properties of conditionally independent random variables are studied. Conditional versions of g...
The authors use their recently proved integral inequality to obtain bounds for the covariance of two...