ABSTRACT: Some alternative proofs of the inequalities between the moments of the discrete probability distributions are given here. We use method of Lagrange multipliers to show that the power mean is an increasing function of its argument. This also suggests the possibility of investigating more alternative non-linear programming proofs of the inequalities that have been studied extensively in the literature for means, moments and variance. I
We derive the tail inequalities between two random variables starting from inequalities between its ...
A general method for obtaining moment inequalities for functions of independent random variables is ...
We study the moment problem for finitely additive probabilities and show that the information provid...
ABSTRACT: We use Lagrange multiplier method to give an alternative proof of the inequality involvin...
The generalized bounds for the ratio and difference of rth order moment /r and (r/s)th power of st...
[[abstract]]A positive probability law has a density function of the general form Q(x) exp(−x1/λL(x)...
Characterisations of the distribution of a non-negative random variable are sought for which the Lia...
A new discrete Grüss type inequality and applications for the moments of random variables and guessi...
AbstractIn recent papers, Johnson and Kotz (Amer. Statist.44, 245-249 (1990); Math. Sci.15, 42-52 (1...
AbstractMoment problems, with finite, preassigned support, regarding the probability distribution, a...
In recent papers, Johnson and Kotz (Amer. Statist. 44, 245-249 (1990); Math. Sci. 15, 42-52 (1990)) ...
The discrete moment problem (DMP) has been formulated as a methodology to find the minimum and/or ma...
We show that an almost trivial inequality between the first and second moment and the maximal value ...
In probabilistic terms Hardy’s condition is written as follows: E[ec X] <∞, where X is a nonnegat...
Pearson-type distributions can be characterized by the ratio of the first and the second moments tru...
We derive the tail inequalities between two random variables starting from inequalities between its ...
A general method for obtaining moment inequalities for functions of independent random variables is ...
We study the moment problem for finitely additive probabilities and show that the information provid...
ABSTRACT: We use Lagrange multiplier method to give an alternative proof of the inequality involvin...
The generalized bounds for the ratio and difference of rth order moment /r and (r/s)th power of st...
[[abstract]]A positive probability law has a density function of the general form Q(x) exp(−x1/λL(x)...
Characterisations of the distribution of a non-negative random variable are sought for which the Lia...
A new discrete Grüss type inequality and applications for the moments of random variables and guessi...
AbstractIn recent papers, Johnson and Kotz (Amer. Statist.44, 245-249 (1990); Math. Sci.15, 42-52 (1...
AbstractMoment problems, with finite, preassigned support, regarding the probability distribution, a...
In recent papers, Johnson and Kotz (Amer. Statist. 44, 245-249 (1990); Math. Sci. 15, 42-52 (1990)) ...
The discrete moment problem (DMP) has been formulated as a methodology to find the minimum and/or ma...
We show that an almost trivial inequality between the first and second moment and the maximal value ...
In probabilistic terms Hardy’s condition is written as follows: E[ec X] <∞, where X is a nonnegat...
Pearson-type distributions can be characterized by the ratio of the first and the second moments tru...
We derive the tail inequalities between two random variables starting from inequalities between its ...
A general method for obtaining moment inequalities for functions of independent random variables is ...
We study the moment problem for finitely additive probabilities and show that the information provid...