The problem of minimax estimation of parameters of multinomial distribution is considered for a loss function being the sum of the losses of the statisticians taking part in the estimation process.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-3-4, author = {Stanis\l aw Trybu\l a}, title = {Simultaneous minimax estimation of parameters of multinomial distribution}, journal = {Applicationes Mathematicae}, volume = {29}, year = {2002}, pages = {307-311}, zbl = {1009.62529}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-3-4} }
Stanisław Trybuła. Simultaneous minimax estimation of parameters of multinomial distribution. Applicationes Mathematicae, Tome 29 (2002) pp. 307-311. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-3-4/