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RISA note on moment inequality for quadratic forms
some maximal inequalities for quadratic forms of negative superadditive dependence r.v. s
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displaystyle sum_{1 leq i<j leq n} a_{ij}X_iX_j , where {a_{ij};
1 leq i<j leq n } is an array of real numbers. We derive two
maximal inequalities for quadratic forms $T_n$ and $Q_n$, then,
using these inequalities we obtain strong...
Some probability inequalities
In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables. In particular the law of iterated logarithm for quadratic forms of independent subgaussian...
On approximating the distribution of quadratic forms in uniform and beta order statistics
Distribution theory of quadratic forms for matrix multivariate elliptical distribution
Semiparametric Gaussian copula models: Geometry and efficient rank based estimation
Maximal Inequalities and Some Convergence Theorems for Fuzzy Random Variables
Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large...
On the Kolmogorov inequalities for quadratic forms of dependent uniformly bounded random variables
Some Kolmogorov probability inequalities for quadratic forms and weighted quadratic
forms of negative superadditive dependent (NSD) uniformly bounded random variables are
provided. Using these inequalities, some complete convergence...
A Kolmogorov inequality for quadratic forms of
In this paper, we present a Kolmogorov probability inequality for quadratic forms and weighted quadratic forms of negative superadditive dependent (NSD) uniformly bounded random variables. Using these inequalities, we evaluate complete convergence...