The weak convergence of empirical distribution functions subject to random perturbations and scale factors to a Gaussian process is established. This result is used to study the efficiencies of tests ...
DANIEL BONNÉRY, F. JAY BREIDT, FRANÇOIS COQUET, Uniform convergence of the empirical cumulative distribution function under informative selection from a finite population, Bernoulli, Vol. 18, No. 4 ...
Convergence theorems form the backbone of probability theory and statistical inference, ensuring that sequences of random variables behave in a predictable manner as their index grows. These theorems, ...
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