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Explicit Bounds for the Distribution Function of the Sum of Dependent Normally Distributed Random Variables
Explicit Bounds Dependent Normally Distributed Random Variables Distribution Function of the Sum
2011/9/19
Abstract: In this paper an analytic expression is given for the bounds of the distribution function of the sum of dependent normally distributed random variables. Using the theory of copulas and the i...
Explicit Bounds on Some Nonlinear Retarded Integral Inequalities
Integral inequality retarded nonlinear explicit bound
2010/1/25
In this paper some new retarded integral inequalities are established and explicit bounds on the unknown functions are derived. The present results extend some existing ones proved by Lipovan in [A re...
Explicit Bounds On some Nonlinear Integral Inequalities
Integral inequalities Retarded integral inequality Retarded differential equations Partial delay differential equations
2008/7/1
In this paper, some new nonlinear integral inequalities involving functions of one and two independent variables which provide explicit bounds on unknown functions are established. We also present som...