By S¦ren Johansen
The first model of those notes seemed in 1970 while I lectured
on exponential households at the foundation of a few notes written through Ole
Barndorff - Nielsen and Anders Holst Andersen.
A Danish model seemed in 1976 in reference to a graduate
course in records and the current model is largely a
translation of this.
In the intervening time the wonderful booklet by means of Barndorff - Nielsen (1978)
has seemed. the current notes range within the collection of material
in that i've got targeting the algebraic aspects,of the regu-
lar versions after which additional the classical software of the Neyman
Pearson thought in addition to the asymptotic idea, with out which it
is tricky to use any of the models.
I have benefitted from a trip to Lund (1972) and to Goteborg
(1976) the place I provided the subject in a chain of lectures. I
welcome the chance to thank Gunnar Blom and Peter Jagers
for the invitation and for hospitality throughout the visits.
Another major resource of thought has been the lecture notes by
Per Martin - LOf (1970) who has built the exponential families
and their statistical research from the viewpoint of stati-
stical mechanics. This standpoint has now not been followed right here. A
short account are available in in line with Martin - Löf (1974).
The lecture notes by way of Søren Tolver Jensen (1978) have helped me
clarify the formula of the case of a novel covariance ma-
trix, see part 7.
Anders Hald and Steffen Lauritzen have conscientiously learn the manu-
script in a single of its earlier types with the end result that some
formulations have been more suitable and others corrected. Vivi Nielsen has
typed the ultimate manuscript. therefore will probably be obvious that I have
borrowed all of the fabric from different resources and feature had experts
to payment the presentation. My in simple terms contributions if any hence lies
in the initiative plus the remainder errors.
Copenhagen, February 1979