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This paper presents a finite-time analysis of the KL-UCB algorithm, an online, horizon-free index policy for stochastic bandit problems. We prove two distinct results: first, for arbitrary bounded rew...
This paper discusses the use of bounded rationality in industrial organization. There is a long tradition of such work: literatures from various decades have discussed irrationalities by firms and c...
Bounded stopping time of some Bayes sequential tests for the t-test model。
Formulas for level crossing probabilities, ladder height distributions and related characteristics of a general class of processes with stationary bounded variations and continuous decreasing compon...
In this paper, motivated by [2], we derive necessary and suficient conditions for bounded and periodically correlated solutions to the system of equations described by ARMA(1, q) model.
In the paper we prove the lower bound estimate ¸D 2 −¸D 1 ­ c(¸D 1 )−d=®(diamD)−d−® for the spectral gap of the Dirichlet fractional Laplacia...
For estimating a lower bounded location or mean parameter for a symmetric and logconcave density, we investigate the frequentist performance of the $100(1-alpha)%$ Bayesian HPD credible set associated...
We prove that the Moderate Deviation Principle (MDP) holds for the trajectory of a locally square integrable martingale with bounded jumps as soon as its quadratic covariation, properly scaled, conver...
Let α be a fixed number from the interval [0,1]. We obtain the sharp probability bounds for the maximal function of the process which is α-differentially subordinate to a bounded submartingale. This g...
This paper addresses the issue of deriving estimators improving on the best location equivariant (or Pitman) estimator under the squared error loss when a location parameter is restricted to a bounded...

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