Title
Some Decision Procedures Based on Scaled Bregman Distance Surfaces.
Abstract
We study scaled Bregman distances between distributions from exponential families, respectively, data-derived empirical distributions (relative frequencies, histograms). For the scaling, we also employ distribution mixtures. The outcoming parameter-dependences constitute (random) surfaces which offer a basis for computer-graphical exploratory analyses about the internal structure of exponential families, as well as for concrete 3D computer-graphical statistical decision making such as simultaneous parameter estimation and goodness-of-fit investigations. Morever, we study the distributional asymptotics of random scaled Bregman distances where the sample size of the involved empirical distribution tends to infinity. Small-sample-size results and a comparison with the prominent quantile-quantile-plot technique will be shown, too. ...
Year
DOI
Venue
2013
10.1007/978-3-642-40020-9_52
GSI
DocType
Citations 
PageRank 
Conference
1
0.44
References 
Authors
13
2
Name
Order
Citations
PageRank
Anna-Lena Kißlinger121.13
Wolfgang Stummer223.50