Quadratic distances on probabilities: A unified foundation
DOI10.1214/009053607000000956zbMath1133.62001arXiv0804.0991OpenAlexW3102178621MaRDI QIDQ2426631
Ke Yang, Bruce G. Lindsay, Marianthi Markatou, Surajit Ray, Shu-Chuan (Grace) Chen
Publication date: 23 April 2008
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.0991
spectral decompositiongoodness of fitmodel assessmenthigh dimensionsdegrees of freedomquadratic distanceHilbert-Schmidt kerneldiffusion kernel
Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourier series
- Asymptotic distribution of statistics based on quadratic entropy and bootstrapping
- Goodness-of-fit tests for a multivariate distribution by the empirical characteristic function
- Generalized likelihood ratio statistics and Wilks phenomenon
- On the limiting distributions of multivariate depth-based rank sum statistics and related tests
- A report on the future of statistics (with comments and rejoinder)
- Harmonic Function Theory
- Test of Significance Based on Wavelet Thresholding and Neyman's Truncation
- Approximation Theorems of Mathematical Statistics
- Use of goodness-of-fit procedures in high dimensional testing
- L'addition des variables aléatoires définies sur une circonférence
- On the Shape of the Angular Case of Cauchy's Distribution Curves
- The elements of statistical learning. Data mining, inference, and prediction