From the reviews: "In this Lecture Note volume the author describes
his differential-geometric approach to parametrical statistical problems
summarizing the results he had published in a series of papers in the
last five years. The author provides a geometric framework for a
special class of test and estimation procedures for curved exponential
families. ... ... The material and ideas presented in this volume are
important and it is recommended to everybody interested in the
connection between statistics and geometry ..." #Metrika#1 "More
than hundred references are given showing the growing interest in
differential geometry with respect to statistics. The book can only
strongly be recommended to a geodesist since it offers many new insights
into statistics on a familiar ground." #Manuscripta Geodaetica#2