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Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings and Bounds Probability Distributions Statistics Theory
2011/8/30
Abstract: Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A spec...
Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
Extensions of Dirac chord method with quasi-probability distributions
Extensions of Dirac chord method quasi-probability distributions
2011/2/24
The Dirac chord method may be suitable in different areas of physics for the repre-sentation of certain six-dimensional integrals for a convex body using the probability density of the chord length di...
Dynamic risk measuring under model uncertainty: taking advantage of the hidden probability measure
Dynamic risk model uncertainty hidden probability measure
2011/2/28
We study dynamic risk measures in a very general framework enabling to model uncertainty and processes with jumps. We previously showed the existence of a canonical equivalence class of probability me...
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance Functions
2011/2/25
We present a novel modulation level classification (MLC) method based on probability distribution distance functions.
Bounding and estimating an exceedance probability in output from monotonous computer codes
Exceedance probability Computer code Input uncertainty
2011/1/18
This article deals with the estimation of a probability pf of an undesirable event. Its occurence is formalized by the exceedance of a threshold reliability value by the unidimensional output of a com...
Existence and approximation of probability measure solutions to models of collective behaviors
Existence approximation of probability measure models of collective behaviors
2011/1/20
In this paper we consider first order differential models of collective behaviors of groups
of agents based on the mass conservation equation. Models are formulated taking the spatial
distribution o...
Exact sampling for intractable probability distributions via a Bernoulli factory
intractable probability distributions Bernoulli factory
2011/3/3
Many applications in the eld of statistics require Markov chain Monte Carlo methods.
Determining appropriate starting values and run lengths can be both analytically and empirically challenging.
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance
2011/1/4
We present a novel modulation level classification (MLC) method based on probability distribution distance functions. The proposed method uses modified Kuiper and Kolmogorov- Smirnov (KS) distances to...
Extensions of Dirac Chord Method with Quasi-Probability Distributions
Extensions Dirac Chord Method
2011/1/4
Dirac chord method may be used in many areas of physics for calculation of specific six-dimensional integrals for a convex body using probability density of chord length distribution. Attempts to appl...
Probability distributions and estimation of Ali-Mikhail-Haq copula
Dependence measure Tail dependence
2010/9/21
The Pearson product-moment correlation commonly used as statistical dependence measure was developed assuming normal marginal and addresses only linear dependence. In most applications, the distributi...
Error probability analysis in quantum tomography: a tool for evaluating experiments
Error probability analysis quantum tomography tool for evaluating experiments
2010/12/15
We expand the scope of the statistical notion of error probability, i.e., how often large deviations are observed in an experiment, in order to make it directly applicable to quantum tomography. We ve...
$t$-Covering Arrays Generated by a Tiling Probability Model
$t$-Covering Arrays Tiling Probability Model
2010/11/8
A $t-\a$ covering array is an $m\times n$ matrix, with entries from an alphabet of size $\alpha$, such that for any choice of $t$ rows, and any ordered string of $t$ letters of the alphabet, there ex...
Transformation & Uncertainty. Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles
Quantum Probability Theory Quantum Statistics Natural Bundles
2010/11/19
This PHD thesis is concerned with uncertainty relations in quantum probability theory, state estimation in quantum stochastics, and natural bundles in differential geometry. After some comments on the...
Prize insights in probability, and one goat of a recycled error: Jason Rosenhouse's The Monty Hall Problem
Prize insights in probability recycled error
2010/11/22
The Monty Hall problem is the TV game scenario where you, the contestant, are presented with three doors, with a car hidden behind one and goats hidden behind the other two. After you select a door, t...