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We prove that there exist social choice correspondences that can be implemented
in undominated strategies, using finite mechanisms, but can require arbitrarily many
strategies to do so, even w...
Methods to Calculate the Upper Bound of Gini Coefficient Based on Grouped Data and the Result for China
Gini coefficient Grouped data Upper bound China
2013/6/14
How to give an upper bound, especially the smallest upper bound of Gini coefficient based on grouped data in the absence of income brackets is still a problem not properly solved. This article provide...
How the result of graph clustering methods depends on the construction of the graph
graph clustering construction
2011/3/21
We study the scenario of graph-based clustering algorithms such as spectral clustering. Given a set of data points, one first has to construct a graph on the data points and then apply a graph cluste...
On Paul Lévy's arc sine law and Shiga-Watanabe's time inversion result
Paul Lévy's arc sine law Shiga-Watanabe's time inversion result
2009/9/22
Let ((XJ,P) be a symmetric real-valued H-self-similar
diffusion starting at 0. We characterize the distributions of A,, the time
spent on (0, a) before time t, and a,, the time of the last visit to
...
A Monotonicity Result for Hard-core and Widom-Rowlinson Models on Certain d-dimensional Lattices
Hard-core model Widom-Rowlinson model Gibbs measures monotonic phase transition site-random-cluster model
2009/4/29
For each $dgeq 2$, we give examples of $d$-dimensional periodic lattices on which the hard-core and Widom-Rowlinson models exhibit a phase transition which is monotonic, in the sense that there exists...
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
heat equation white noise stochastic partial differential equations
2009/4/29
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
A Proof from `First Principles' of Kesten's Result for the Probabilities with which a Subordinator Hits Points
L!aevyprocesses subordinators hitting probabilitie
2009/4/22
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
stochastic fractional Brownian motion
2009/4/22
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
A Proof from First Principles' of Kesten's Result for the Probabilities with which a Subordinator Hits Points
Principle Kesten's result Hits Points
2009/4/1
We give a simpler and shorter proof of Kesten's result for the probabilities with which a subordinator hits points.
Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix A matrix generalization of leung’s domination result
Noncentral Wishart matrix identity noncentrality matrix decision-theoretic estimation matrix loss function Lowner matrix ordering Haffians
2009/2/23
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wi...
Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix A matrix generalization of leung’s domination result
Noncentral Wishart matrix identity noncentrality matrix decision-theoretic estimation matrix loss function Lowner matrix ordering Haffians
2009/2/23
The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung’s but generalized to a matrix loss function. Parallelly Leung’s scalar noncentral Wi...
The distribution of model averaging estimators and an impossibility result regarding its estimation
model mixing model aggregation combination of estimators model selection finite sample distribution
2010/4/27
The finite-sample as well as the asymptotic distribution of Leung
and Barron’s (2006) model averaging estimator are derived in the context of
a linear regression model. An impossibility result regar...