Seite - iv - in Differential Geometrical Theory of Statistics

iv Frank Nielsen and Ke Sun Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities Reprinted from: Entropy 2016, 18(12), 442; doi: 10.3390/e18120442 http://www.mdpi.com/1099-4300/18/12/442 ........................................................................................... 287 Hiroshi Matsuzoe A Sequence of Escort Distributions and Generalizations of Expectations on q-Exponential Family Reprinted from: Entropy 2017, 19(1), 7; doi: 10.3390/e19010007 http://www.mdpi.com/1099-4300/19/1/7 ................................................................................................. 312 Paul Marriott, Radka Sabolová, Germain Van Bever and Frank Critchley The Information Geometry of Sparse Goodness-of-Fit Testing Reprinted from: Entropy 2016, 18(12), 421; doi: 10.3390/e18120421 http://www.mdpi.com/1099-4300/18/12/421 ........................................................................................... 325 Chapter 4: Density of Probability on Manifold and Metric Space Emmanuel Chevallier, Thibault Forget, Frédéric Barbaresco and Jesus Angulo Kernel Density Estimation on the Siegel Space with an Application to Radar Processing Reprinted from: Entropy 2016, 18(11), 396; doi: 10.3390/e18110396 http://www.mdpi.com/1099-4300/18/11/396 ........................................................................................... 347 Hatem Hajri, Ioana Ilea, Salem Said, Lionel Bombrun and Yannick Berthoumieu Riemannian Laplace Distribution on the Space of Symmetric Positive Definite Matrices Reprinted from: Entropy 2016, 18(3), 98; doi: 10.3390/e18030098 http://www.mdpi.com/1099-4300/18/3/98 ............................................................................................... 365 Chapter 5: Statistics on Paths and on Riemannian Manifolds Stéphane Puechmorel and Florence Nicol Entropy Minimizing Curves with Application to Flight Path Design and Clustering Reprinted from: Entropy 2016, 18(9), 337; doi: 10.3390/e18090337 http://www.mdpi.com/1099-4300/18/9/337 ............................................................................................. 387 Stefan Sommer Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds Reprinted from: Entropy 2016, 18(12), 425; doi: 10.3390/e18120425 http://www.mdpi.com/1099-4300/18/12/425 ........................................................................................... 403 Thomas Hotz, Florian Kelma and Johannes Wieditz Non-Asymptotic Confidence Sets for Circular Means Reprinted from: Entropy 2016, 18(10), 375; doi: 10.3390/e18100375 http://www.mdpi.com/1099-4300/18/10/375 ........................................................................................... 424 Chapter 6: Entropy and Complexity in Linguistic Matilde Marcolli Syntactic Parameters and a Coding Theory Perspective on Entropy and Complexity of Language Families Reprinted from: Entropy 2016, 18(4), 110; doi: 10.3390/e18040110 http://www.mdpi.com/1099-4300/18/4/110 ............................................................................................. 439