We present a function ρ (F1, F2, t) which contains Matusita's affinity and expresses the affinity between moment generating functions. An interesting results is expressed through decomposition of this affinity ρ (F1, F2, t) when the functions considered are k-dimensional normal distributions. The same decomposition remains true for other families of distribution functions. Generalizations of these results are also presented.
@article{urn:eudml:doc:40281, title = {Some results envolving the concepts of moment generating function and affinity between distribution functions. Extension for r k-dimensional normal distribution functions.}, journal = {Q\"uestii\'o}, volume = {23}, year = {1999}, pages = {225-237}, mrnumber = {MR1727132}, zbl = {1167.62371}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40281} }
Dorival Campos, Antonio. Some results envolving the concepts of moment generating function and affinity between distribution functions. Extension for r k-dimensional normal distribution functions.. Qüestiió, Tome 23 (1999) pp. 225-237. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40281/