3. The median and mode of a distribution can be found as a ? a) Bregman centroid b) f-centroid c) Burbea-Rao centroid 4. The Euclidean, elliptical and hyperbolic geometries are three examples of differential geometries that have been generalized and later termed: Riemmanian geometry Riemannian geometry Riemanian geometry Riemmannian geometry 5. The Jensen-Shannon divergence is a symmetric divergence (whose square root is a metric) that was thoroughly studied by Jianhua Lin in 1991. This fundamental information measure appeared in a former paper without being explicitly studied. Jeffreys J divergence (1946) Ali-Silvey divergence (1966) Csiszar divergence (1967) Jensen difference of Rao (1982) 6. Q: Who pionneered the study of alpha-divergences Chernoff Amari Cencov Csiszar
7. In mathematics, the Bunyakovsky inequality is also known as the... Cauchy-Schwartz inequality Cauchy-Swcharz inequality Cauchy-Schwarz inequality Cochy-Schwarz inequality
8. The logarithmic mean is also known as the Holder mean Gini mean Lehmer mean Stolarsky mean
9. Which of the following statistical distribution does not belong to the exponential families? Gaussian distribution Cauchy distribution Poisson distribution Beta distribution
10. Regular exponential families are in bijection with one class of distortion measures. Which one? regular Bregman divergences regular f-divergences regular Burbea-Rao divergences