Add to ORKGIn this paper it is proved by elemental methods that the following inequalities exist. If the expected value of the probability variable is 0, the variance is a2 and its den- sity function satisfies the conditions then in the case of any positive e, inequality is valid. If the expected value of the discrete probability variable; is 0, the square of its scattering is a2 , then the following inequality applies a2 -9 -.,- ~ P(I;I ~ Ixil)· (i = 1,2, ... , n) 4x1 - 1 when conditions ensuring the concavity of distribution function and regarding its possible values and probability distribution are satisfied
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
AbstractLower variance bounds are derived for functions of a random vector X, thus extending previou...
In this paper it is proved by elemental methods that the following inequalities exist. If the e...
By elemental methods it is proved in this paper that the following inequalities are existing
By elemental methods it is proved in this paper that the following inequalities are existing
An elementary proof is given for the generalized Chebysev-type inequalities
An elementary proof is given for the generalized Chebysev-type inequalities
AbstractInequalities for continuous random variables having the probability density function defined...
AbstractThe authors use their recently proved integral inequality to obtain bounds for the covarianc...
In this paper it is intended to apply the inequality 82 -9 - > P(I~I > IXil) -4x ~ 1 1- to test the ...
AbstractSome recent inequalities for cumulative distribution functions, expectation, variance, and a...
AbstractIf X1, …, Xn are independent Rd-valued random vectors with common distribution function F, a...
AbstractHerman Chernoff used Hermite polynomials to prove an inequality for the normal distribution....
Gau\ss (1823) proved a sharp upper bound on the probability that a random variable falls outside a s...
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
AbstractLower variance bounds are derived for functions of a random vector X, thus extending previou...
In this paper it is proved by elemental methods that the following inequalities exist. If the e...
By elemental methods it is proved in this paper that the following inequalities are existing
By elemental methods it is proved in this paper that the following inequalities are existing
An elementary proof is given for the generalized Chebysev-type inequalities
An elementary proof is given for the generalized Chebysev-type inequalities
AbstractInequalities for continuous random variables having the probability density function defined...
AbstractThe authors use their recently proved integral inequality to obtain bounds for the covarianc...
In this paper it is intended to apply the inequality 82 -9 - > P(I~I > IXil) -4x ~ 1 1- to test the ...
AbstractSome recent inequalities for cumulative distribution functions, expectation, variance, and a...
AbstractIf X1, …, Xn are independent Rd-valued random vectors with common distribution function F, a...
AbstractHerman Chernoff used Hermite polynomials to prove an inequality for the normal distribution....
Gau\ss (1823) proved a sharp upper bound on the probability that a random variable falls outside a s...
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
summary:Let $\{T_n\}$ be a sequence of statistics such that $E\left|T_n-0\right|^{2(q+1)}=O(n^{-(q+1...
AbstractLower variance bounds are derived for functions of a random vector X, thus extending previou...