Central limit theorem and exponential tail estimations in hybrid Lebesgue-continuous spaces
arXiv:1309.2344
Abstract
We study the Central Limit Theorem (CLT) in the so-called hybrid Lebesgue-continuous spaces and tail behavior of normed sums of centered random independent variables (vectors) with values in these spaces.
arXiv admin note: substantial text overlap with arXiv:1308.5606
References in corpus (8)
- Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
- Schlomilch and Bell Series for Bessel's Functions, with Probabilistic Applications
- Asymptotic exponential bounds for MLE deviation under minimal conditions via classical and generic chaining methods
- Support of Borelian Measures in Separable Banach Spaces
- CLT for continuous random processes under approximations terms
- Central Limit Theorem and exponential tail estimations in mixed (anisotropic) Lebesgue spaces
- Moment and tail estimates for martingales and martingale transform, with application to the martingale limit theorem in Banach spaces
- Maximal Inequalities in Bilateral Grand Lebesque Spaces Over Unbounded Measure
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- A simple Monte Carlo method for solving of Navier-Stokes Equations
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