ABSTRACT
The theory of conditioning so far developed is elaborated, extended,
and given an important application in this chapter, to a study of suf-
ficient statistics. The concept of sufficiency plays an important role
in a branch of statistical inference. Here the study consists of two
parts: the dominated and the undominated cases. Both aspects are
considered below in detail. The applications include statistical experi-
ments and estimation. These results establish the principal role played
by Kolmogorov’s general concept of conditioning in statistical theory,
especially in the area of sufficiency, and also elsewhere. An abstract
formulation of the latter concept is discussed in the last section.
