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Goodness-of-Fit tests with Dependent Observations
Extreme value statistics Stochastic processes Models of financial markets
2011/7/7
We revisit the Kolmogorov-Smirnov and Cram\'er-von Mises goodness-of-fit (GoF) tests and propose a generalisation to identically distributed, but dependent univariate random variables. We show that th...
Sparsity considerations for dependent observations
Sparsity considerations dependent observations
2011/3/18
The aim of this paper is to provide a comprehensive introduction for the study of L1-penalized estimators in the context of dependent observations. We define a general $\ell_{1}$-penalized estimator f...
Learning from dependent observations
Support vector machine Consistency Non-stationary mixing process Classification Regression
2010/4/30
In most papers establishing consistency for learning algorithms it is assumed that the observation sused for training are realizations of an i.i.d. process. In this paper we go far beyond this classic...