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Online Learning in Markov Decision Processes with Adversarially Chosen Transition Probability Distributions
Online Learning Markov Decision Processes Adversarially Chosen Transition Probability Distributions
2013/5/2
We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed...
Spline Smoothing for Estimation of Circular Probability Distributions via Spectral Isomorphism and its Spatial Adaptation
Non-parametric density estimation circular data Smoothing Spline empirical Fourier coeffcients Fourier Basis Detection of Localisation Edge preserving function estima-tion
2012/11/22
Consider the problem when $X_1,X_2,..., X_n$ are distributed on a circle following an unknown distribution $F$ on $S^1$. In this article we have consider the absolute general set-up where the density ...
Martingale Couplings and Bounds on the Tails of Probability Distributions
Martingale Couplings Probability Distributions
2011/7/19
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.
Constrained probability distributions of correlation functions
cosmology gravitational lensing large scale structure of the Universe galaxies statistics Methods statistical
2011/6/21
Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used
in Bayesian parameter estimation, their likelihood function is usually replac...
The exp-G family of probability distributions
Exp-G distribution Order statistics Fisher’s information matrix Exp-Weibull distribution Exp-beta distribution
2010/3/11
In this paper we introduce a new method to add a parameter to a family of distri-
butions. The additional parameter is completely studied and a full description of its
behaviour in the distribution ...
On the convergence of some discrete probability distributions
convergence some discrete probability distributions
2009/9/24
On the convergence of some discrete probability distributions。
Stable probability distributions and their domains of attraction: A direct approach
Domain of attraction [generalised) regular variation characteristic function
2009/9/22
The theory of stable probability distributions and their
domains of attraction is derived in a direct way (avoiding the usual
route via infinitely divisible distributions) using Fourier transforms.
...
Discrete Probability Distributions Generated by the Generalized STER Summation
Discrete Probability Distributions the Generalized STER Summation
2009/9/17
Discrete Probability Distributions Generated by the Generalized STER Summation。
A Bernstein-Von Mises Theorem for discrete probability distributions
Bernstein-Von Mises Theorem Entropy estimation non-parametric Bayesian statistics Discrete models Concentration inequalities
2009/9/16
We investigate the asymptotic normality of the posterior distribution in the discrete setting, when model dimension increases with sample size. We consider a probability mass function $theta_0$ on $ma...