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A general approach to the joint asymptotic analysis of statistics from sub-samples
Empirical processes sub-sampling,self-normalization change point weak con-vergence Time series compact differentiability
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2013/6/14
In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint...
A Note on Central Limit Theorems for Linear Spectral Statistics of Large Dimensional F-matrix
Linear spectral statistics central limit theorem centralized sample covari-ance matrix centralizedF-matrix simplified sample covariance matrix simplified F-matrix
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2013/6/13
Sample covariance matrix and multivariate $F$-matrix play important roles in multivariate statistical analysis. The central limit theorems {\sl (CLT)} of linear spectral statistics associated with the...
Generalized Likelihood Ratio Statistics and Uncertainty Adjustments in Efficient Adaptive Design of Clinical Trials
Hoeffding’s information bound Internal pilot Kullback-Leibler information Modified Haybittle-Peto test Multiparameter exponential family Sample size re-estimation
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2011/6/20
A new approach to adaptive design of clinical trials is proposed in a general multi-
parameter exponential family setting, based on generalized likelihood ratio statistics and optimal
sequential tes...