A. C. Atkinson, A. N. Donev, and R. D. Tobias, Optimum Experimental Designs, with SAS, 2007.

M. Basseville, Divergence measures for statistical data processing???An annotated bibliography, Signal Processing, vol.93, issue.4, pp.621-633, 2013.
DOI : 10.1016/j.sigpro.2012.09.003
URL : https://hal.archives-ouvertes.fr/hal-01151803

A. Bhattacharyya, On a measure of divergence between two multinomial populations. Sankhy¯ a: The Indian, Journal of Statistics, vol.7, issue.4, pp.401-406, 1946.

G. Björck, Distributions of positive mass, which maximize a certain generalized energy integral, Arkiv f??r Matematik, vol.3, issue.3, pp.255-269, 1956.
DOI : 10.1007/BF02589412

V. V. Fedorov, Theory of Optimal Experiments, 1972.

V. V. Fedorov and P. Hackl, Model-Oriented Design of Experiments, 1997.
DOI : 10.1007/978-1-4612-0703-0

V. V. Fedorov and S. L. Leonov, Optimal Design for Nonlinear Response Models, 2014.
DOI : 10.1201/b15054

B. A. Frigyik, S. Srivastava, and M. R. Gupta, Functional Bregman Divergence and Bayesian Estimation of Distributions, IEEE Transactions on Information Theory, vol.54, issue.11, pp.5130-5139, 2008.
DOI : 10.1109/TIT.2008.929943

J. Kiefer, General Equivalence Theory for Optimum Designs (Approximate Theory), The Annals of Statistics, vol.2, issue.5, pp.849-879, 1974.
DOI : 10.1214/aos/1176342810

J. López-fidalgo and J. M. Rodríguez-díaz, Characteristic polynomial criteria in optimal experimental design Advances in Model?Oriented Data Analysis and Experimental Design S. Lukaszyk. A new concept of probability metric and its applications in approximation of scattered data sets, Proceedings of MODA'5, pp.31-38299, 1998.

F. Nielsen and S. Boltz, The Burbea-Rao and Bhattacharyya Centroids, IEEE Transactions on Information Theory, vol.57, issue.8, pp.5455-5466, 2011.
DOI : 10.1109/TIT.2011.2159046

F. Nielsen and R. Nock, Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means, 2017.

A. Pázman, Foundations of Optimum Experimental Design. Reidel (Kluwer group), Dordrecht (co-pub, 1986.

L. Pronzato and A. Pázman, Design of Experiments in Nonlinear Models Asymptotic Normality , Optimality Criteria and Small-Sample Properties, LNS, vol.212, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00879984

L. Pronzato, H. P. Wynn, and A. Zhigljavsky, Extremal measures maximizing functionals based on simplicial volumes, Statistical Papers, vol.105, issue.491, pp.1059-1075
DOI : 10.1198/jasa.2010.tm09467
URL : https://hal.archives-ouvertes.fr/hal-01308116

L. Pronzato, H. P. Wynn, and A. Zhigljavsky, Extended generalised variances, with applications, Bernoulli, vol.23, issue.4A, pp.2617-2642, 2017.
DOI : 10.3150/16-BEJ821
URL : https://hal.archives-ouvertes.fr/hal-01308092

L. Pronzato, H. P. Wynn, and A. A. Zhigljavsky, Simplicial variances, potentials and Mahalanobis distances, Journal of Multivariate Analysis, vol.168, 2018.
DOI : 10.1016/j.jmva.2018.08.002
URL : https://hal.archives-ouvertes.fr/hal-01863605

F. Pukelsheim, Optimal Experimental Design, 1993.

J. M. Rodríguez-díaz and J. López-fidalgo, and characteristic criteria, Statistics, vol.37, issue.4, pp.325-334, 2003.
DOI : 10.1214/aoms/1177696809

R. L. Schilling, R. Song, and Z. Vondracek, Bernstein Functions: Theory and Applications. de Gruyter, 2012.

S. Sejdinovic, B. Sriperumbudur, A. Gretton, and K. Fukumizu, Equivalence of distance-based and RKHS-based statistics in hypothesis testing. The Annals of Statistics, pp.2263-2291, 2013.
DOI : 10.1214/13-aos1140
URL : http://doi.org/10.1214/13-aos1140

A. N. Shiryaev and . Probability, , 1996.

S. D. Silvey, Optimal Design, 1980.
DOI : 10.1007/978-94-009-5912-5

B. K. Sriperumbudur, A. Gretton, K. Fukumizu, B. Schölkopf, and G. R. Lanckriet, Hilbert space embeddings and metrics on probability measures, Journal of Machine Learning Research, vol.11, pp.1517-1561, 2010.

G. J. Székely and M. L. Rizzo, Energy statistics: A class of statistics based on distances, Journal of Statistical Planning and Inference, vol.143, issue.8, pp.1249-1272, 2013.
DOI : 10.1016/j.jspi.2013.03.018