Robust Procedures for Estimating and Testing in the Framework of Divergence Measures

Pardo, Leandro

Robust Procedures for Estimating and Testing in the Framework of Divergence Measures - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (333 p.)

Open Access

The scope of the contributions to this book will be to present new and original research papers based on MPHIE, MHD, and MDPDE, as well as test statistics based on these estimators from a theoretical and applied point of view in different statistical problems with special emphasis on robustness. Manuscripts given solutions to different statistical problems as model selection criteria based on divergence measures or in statistics for high-dimensional data with divergence measures as loss function are considered. Reviews making emphasis in the most recent state-of-the art in relation to the solution of statistical problems base on divergence measures are also presented.


Creative Commons


English

books978-3-0365-1459-8 9783036514604 9783036514598

10.3390/books978-3-0365-1459-8 doi


Research & information: general

classification Bayes error rate Henze–Penrose divergence Friedman–Rafsky test statistic convergence rates bias and variance trade-off concentration bounds minimal spanning trees composite likelihood composite minimum density power divergence estimators model selection minimum pseudodistance estimation Robustness estimation of α monitoring numerical minimization S-estimation Tukey’s biweight integer-valued time series one-parameter exponential family minimum density power divergence estimator density power divergence robust change point test Galton-Watson branching processes with immigration Hellinger integrals power divergences Kullback-Leibler information distance/divergence relative entropy Renyi divergences epidemiology COVID-19 pandemic Bayesian decision making INARCH(1) model GLM model Bhattacharyya coefficient/distance time series of counts INGARCH model SPC CUSUM monitoring MDPDE contingency tables disparity mixed-scale data pearson residuals residual adjustment function robustness statistical distances Hellinger distance large deviations divergence measures rare event probabilities n/a