Ebook: Robustness of Statistical Methods and Nonparametric Statistics

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Content:
Front Matter....Pages i-4
Behaviour of L-Estimators of Location from the Point of View of Large Deviations....Pages 5-8
Simulation in Research on Linear Models....Pages 9-12
Note About Solutions of Asymptotic Minimax Test Problems for Special Capacities....Pages 13-14
Some Remarks on the Comparison of Means in the Case of Correlated Errors....Pages 15-17
Robustness of Multiple Comparisons Against Variance Heterogeneity....Pages 18-22
The Power of Run Test Verifying the Hypothesis of Model Linearity....Pages 23-25
The Robustness of Selection Procedures Investigated by a Combinatorial Method....Pages 26-29
Results of Comparisons Between Different Random Number Generators....Pages 30-34
Robustness of the Two-sample Sequential t-test....Pages 35-36
Optimal Designs for Contaminated Linear Regression....Pages 37-42
Systems of One-Dimensional Continuous Distributions and their Application in Simulation Studies....Pages 43-52
A Combinatorial Method in Robustness Research and Two Applications....Pages 53-57
Analogy of the Linear Regression and the Two-Sample Problem in Robustness Investigations....Pages 58-59
Rates of Consistency of Classical One-Side Tests....Pages 60-62
Asymptotic Robustness of Bayesian Decision Rules in Statistical Decision Theory....Pages 63-65
Ranks, Standardized Ranks and Standardized Aligned Ranks in the Analysis of Friedman’s Block Design....Pages 66-69
Chernoff Type Bounds of Errors in Hypothesis Testing of Diffusion Processes....Pages 70-72
Power Simulation with the Same Random Sequences Under the Null Hypothesis and the Alternative....Pages 73-74
Robustness of Two-Sample Tests for Variances....Pages 75-82
The Influence of Different Shapes of Distributions with the Same First four Moments on Robustness....Pages 83-84
Robust Bayes Regression Estimation Under Weak Prior Knowledge....Pages 85-89
Distribution of the Maximal Gap in a Sample and its Application for Outlier Detection....Pages 90-91
Robustness of the Two-Sample T-Test....Pages 92-99
Robustness of Three Sequential One-Sample Tests Against Non-Normality....Pages 100-103
A Test for Exponential Regression and its Robustness....Pages 104-112
Comparison of Break Points of Estimators....Pages 113-116
The Robustness of some Statistical Test. The Multivariate Case....Pages 117-124
Tests for Independence in the Family of Continuous Bivariate Distributions with Finite Contingency....Pages 125-127
Robustness of Many-One Statistics....Pages 128-133
Testing Hypotheses in Nonlinear Regression for Nonnormal Distributions....Pages 134-138
The Bootstrap in Nonlinear Regression....Pages 139-142
Sharp Inequalities for Error Probabilities of Tests under Moment Conditions....Pages 143-144
Simulation Studies on Robustness of the t- and u-Test against Truncation of the Normal Distribution....Pages 145-151
Robust Location-Tests and Classification Procedures....Pages 152-155
Minimax-Linear Estimation under Incorrect Prior Information....Pages 156-158
The Robustness of Some Procedures for the Two-Sample Location Problem — a Simulation Study (Concept)....Pages 159-164
On the Measurement of the Tests Robustness....Pages 165-169
A Robust Estimate of Variance in a Linear Model....Pages 169-169
Minimax Versus Robust Experimental Design: Two Simple Examples....Pages 170-172

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Content:
Front Matter....Pages i-4
Behaviour of L-Estimators of Location from the Point of View of Large Deviations....Pages 5-8
Simulation in Research on Linear Models....Pages 9-12
Note About Solutions of Asymptotic Minimax Test Problems for Special Capacities....Pages 13-14
Some Remarks on the Comparison of Means in the Case of Correlated Errors....Pages 15-17
Robustness of Multiple Comparisons Against Variance Heterogeneity....Pages 18-22
The Power of Run Test Verifying the Hypothesis of Model Linearity....Pages 23-25
The Robustness of Selection Procedures Investigated by a Combinatorial Method....Pages 26-29
Results of Comparisons Between Different Random Number Generators....Pages 30-34
Robustness of the Two-sample Sequential t-test....Pages 35-36
Optimal Designs for Contaminated Linear Regression....Pages 37-42
Systems of One-Dimensional Continuous Distributions and their Application in Simulation Studies....Pages 43-52
A Combinatorial Method in Robustness Research and Two Applications....Pages 53-57
Analogy of the Linear Regression and the Two-Sample Problem in Robustness Investigations....Pages 58-59
Rates of Consistency of Classical One-Side Tests....Pages 60-62
Asymptotic Robustness of Bayesian Decision Rules in Statistical Decision Theory....Pages 63-65
Ranks, Standardized Ranks and Standardized Aligned Ranks in the Analysis of Friedman’s Block Design....Pages 66-69
Chernoff Type Bounds of Errors in Hypothesis Testing of Diffusion Processes....Pages 70-72
Power Simulation with the Same Random Sequences Under the Null Hypothesis and the Alternative....Pages 73-74
Robustness of Two-Sample Tests for Variances....Pages 75-82
The Influence of Different Shapes of Distributions with the Same First four Moments on Robustness....Pages 83-84
Robust Bayes Regression Estimation Under Weak Prior Knowledge....Pages 85-89
Distribution of the Maximal Gap in a Sample and its Application for Outlier Detection....Pages 90-91
Robustness of the Two-Sample T-Test....Pages 92-99
Robustness of Three Sequential One-Sample Tests Against Non-Normality....Pages 100-103
A Test for Exponential Regression and its Robustness....Pages 104-112
Comparison of Break Points of Estimators....Pages 113-116
The Robustness of some Statistical Test. The Multivariate Case....Pages 117-124
Tests for Independence in the Family of Continuous Bivariate Distributions with Finite Contingency....Pages 125-127
Robustness of Many-One Statistics....Pages 128-133
Testing Hypotheses in Nonlinear Regression for Nonnormal Distributions....Pages 134-138
The Bootstrap in Nonlinear Regression....Pages 139-142
Sharp Inequalities for Error Probabilities of Tests under Moment Conditions....Pages 143-144
Simulation Studies on Robustness of the t- and u-Test against Truncation of the Normal Distribution....Pages 145-151
Robust Location-Tests and Classification Procedures....Pages 152-155
Minimax-Linear Estimation under Incorrect Prior Information....Pages 156-158
The Robustness of Some Procedures for the Two-Sample Location Problem — a Simulation Study (Concept)....Pages 159-164
On the Measurement of the Tests Robustness....Pages 165-169
A Robust Estimate of Variance in a Linear Model....Pages 169-169
Minimax Versus Robust Experimental Design: Two Simple Examples....Pages 170-172
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