On the Chi square and higher-order Chi distances for approximating f-divergences

Built on

L. D. Brown, Fundamentals of statistical exponential families: with applications in statistical decision theory . Hayworth, CA, USA: Institute of Mathematical Statistics, 1986
1986
Earlier work this paper cites.
T. M. Cover and J. A. Thomas, Elements of information theory . New York, USA: Wiley-Interscience, 1991
1991
Earlier work this paper cites.
S. Amari and H. Nagaoka, Methods of Information Geometry , AMS, Ed. Oxford University Press, 2000
2000
Earlier work this paper cites.

N. Barnett, P. Cerone, S. Dragomir, and A. Sofo, “Approximating Csiszár f f -divergence by the use of Taylor’s formula with integral remainder,” Mathematical Inequalities & Applications , vol. 5, no. 3, pp. 417–434, 2002
2002
Cited alongside, same era.
M. Khosravifard, D. Fooladivanda, and T. A. Gulliver, “Confliction of the Convexity and Metric Properties in f f -Divergences,” IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E90-A, 9, 1848-1853, 2007
2007
Cited alongside, same era.
S.-i. Amari: “Alpha-divergence is unique, belonging to both f f -divergence and Bregman divergence classes,” IEEE Transactions on Information Theory , vol. 55, no. 11, pp. 4925–4931, 2009
2009
Cited alongside, same era.

A. Cichocki and S.-i. Amari, “Families of alpha- beta- and gamma- divergences: Flexible and robust measures of similarities,” Entropy , vol. 12, no. 6, pp. 1532–1568, 2010
2010
Later among the works it cites.
F. Nielsen and S. Boltz, “The Burbea-Rao and Bhattacharyya centroids,” IEEE Transactions on Information Theory , vol. 57, no. 8, pp. 5455–5466, 2011
2011
Later among the works it cites.
F. Österreicher, “Distances based on the perimeter of the risk set of a testing problem,” Austrian Journal of Statistics , vol. 42, no. 1, p. 3.19, 2013
2013
Closest in time.