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A FUNCTIONAL HUNGARIAN CONSTRUCTION FOR SUMS OF INDEPENDENT RANDOM VARIABLES
Komlos-Major–Tusnády inequality Partial sum process Non-identically distributed variables Function classes Asymptotic equivalence of statistical experiments
2015/8/25
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
Row and Column Correlations (Are a set of microarrays independent of each other?)
Row Column Correlations
2015/8/20
Having observed an m n matrix X whose rows are possibly correlated, we wish to test the hypothesis that the columns are independent of each other. Our motivation comes from microarray studies,
where...
Independent component analysis via nonparametric maximum likelihood estimation
Blind source separation density estimation independent component analysis log-concave projection
2012/6/19
Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has in...
Testing the equality of several independent binomial proportions based on asymptotic and resampling method
Monte Carlo method Bootstrap method Likelihood test Score test Wald test Binomial distribution
2011/11/7
This paper discusses equality test of proportions in k (k≥2) independent binomial distributions on the basis of likelihood-ratio, score and Wald-type statistics via asymptotic, MaxT, MinP and Step-dow...