Zur Zeit liegt uns keine Inhaltsangabe vor.
Inhaltsverzeichnis
1. Asymptotic Properties of Certain Measures of Deviation for Kernel-Type Non Parametric Estimators of Probability Densities. - 1. Integrated Mean Square Error of Nonparametric Kernel-Type Probability Density Estimators. - 2. The Mean Square Error of Nonparametric Kernel-Type Density Estimators. - 2. Strongly Consistent in Functional Metrics Estimators of Probability Density. - 1. Strong Consistency of Kernel-Type Density Estimators in the Norm of the Space C. - 2. Convergence in the L2 Norm of Kernel-Type Density Estimators. - 3. Convergence in Variation of Kernel-Type Density Estimators and its Application to a Nonparametric Estimator of Bayesian Risk in a Classification Problem. - 3. Limiting Distributions of Deviations of Kernel-Type Density Estimators. - 1. Limiting Distribution of Maximal Deviation of Kernel-Type Estimators. - 2. Limiting Distribution of Quadratic Deviation of Two Nonparametric Kernel-Type Density Estimators. - 3. The Asymptotic Power of the Un1n2-Test in the Case of singular Close Alternatives. - 4. Testing for Symmetry of a Distribution. - 5. Independence of Tests Based on Kernel-Type Density Estimators. - 4. Nonparametric Estimation of the Regression Curve and Components of a Convolution. - 1. Some Asymptotic Properties of Nonparametric Estimators of Regression Curves. - 2. Strong Consistency of Regression Curve Estimators in the Norm of the Space C(a, b). - 3. Limiting Distribution of the Maximal Deviation of Estimators of Regression Curves. - 4. Limiting Distribution of Quadratic Deviation of Estimators of Regression Curves. - 5. Nonparametric Estimators of Components of a Convolution (S. N. Bernstein s Problem). - 5. Projection Type Nonparametric Estimation of Probability Density. - 1. Consistency of Projection-Type Probability Density Estimator in theNorms of Spaces C and L2. - 2. Limiting Distribution of the Squared Norm of a Projection-Type Density Estimator. - Addendum Limiting Distribution of Quadratic Deviation for a Wide Class of Probability Density Estimators. - 1. Limiting Distribution of Un. - 2. Kernel Density Estimators / Rosenblatt-Parzen Estimators. - 3. Projection Estimators of Probability Density / Chentsov Estimators. - 4. Histogram. - 5. Deviation of Kernel Estimators in the Sence of the Hellinger Distance. - References. - Author Index.
