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COMPUTATION STATISTICS (1. Inference About Distributions (1.6 Estimating…
COMPUTATION STATISTICS
1. Inference About Distributions
1.3 Properties of the ECDF
1.4 Quantiles
1.2 The Empirical Cumulative Distribution Function
1.5 Quantile-Quantile Plots
1.1 Distributions of Random Variables
1.6 Estimating Probability Density Functions
1.6.1 The Histogram Estimator
1.6.2 Kernel Density Estimation
1.6.3 Optimal Bandwidth for Kernel Density Estimation
Nonparametric Tests
2.2 Monte Carlo Simulation of the Null Distribution
2.3 Rank Tests
2.3.1 Ranks
2.3.2 The Wilcoxon Rank-Sum and Mann-Whitney U Tests
2.1 Permutation Tests
2.4 Further Examples of Permutation and Randomization Tests
2.4.2 Permutation test for Difference in Mean of Matched Pairs
2.4.3 Signed-rank test for Matched Pairs
2.4.1 Matched Pairs
2.4.4 Test for Independence of Bivariate Data
The Jackknife
Bootstrapping
4.3 The Parametric Bootstrap
4.4 Bootstrap Confidence Intervals
4.2 Nonparametric Bootstrap
4.5 Accuracy of confidence intervals
4.1 The Plug-in Principle