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Weighted Poincare Inequality of Fractional Order (Stochastic Analysis of Jump Processes and Related Topics)

Weighted Poincare Inequality of Fractional Order (Stochastic Analysis of Jump Processes and Related Topics)
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Uniform stochastic ordering and related inequalities

Canadian Journal of Statistics, 1982
AbstractStochastic order between univariate random variates may be called uniform when such order persists under conditioning to a broad family of intervals. The ordering is local when it holds for any finite interval (a, b), however small. Local order in multivariate settings has been described by Whitt (1980, 1981), by Karlin and Rinott (1980), and ...
Keilson, Julian, Sumita, Ushio
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Stochastic Ordering Inequalities in Parallel and Series Systems with Gumble Distributed Components

Calcutta Statistical Association Bulletin, 2022
The stochastic comparisons of parallel and series systems are worthy of study. In this article, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution which is also known as an extreme value type-I distribution with two parameters (one location and one shape).
Surojit Biswas, Nitin Gupta
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Discrete fractional stochastic Grönwall inequalities arising in the numerical analysis of multi-term fractional order stochastic differential equations

Mathematics and Computers in Simulation, 2022
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Ahmed S. Hendy, Mahmoud A. Zaky, Durvudkhan Suragan   +2 more
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Inequality Orderings, Normalized Stochastic Dominance, and Statistical Inference

Journal of Business & Economic Statistics, 2000
This article derives large-sample properties and provides asymptotically distribution-free statistical inference procedures for an alternative approach to inequality orderings—normalized stochastic dominance (NSD). NSD is a straightforward extension of standard dominance techniques.
Buhong Zheng, John P. Formby, W. James Smith, Victor K. Chow   +3 more
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A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models

Communications in Nonlinear Science and Numerical Simulation, 2022
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Jadamba B., Khan A. A., Raciti F., Sama M.   +3 more
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On stochastic inequalities and dependence orderings

Applied Mathematics and Computation, 2003
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Harnack Inequality for Distribution Dependent Second-Order Stochastic Differential Equations

Journal of Theoretical Probability
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Huang, Xing, Ma, Xiaochen
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Inequalities for fractional integral with the use of stochastic orderings

Applied Mathematics and Computation
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Abayomi Dennis Epebinu, Tomasz Szostok
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