Geometrical Foundations of Asymptotic Inference

Beginning with an elementary treatment of one-parameter statistical models and ending with an overview of recent developments, this is the first book to provide an introduction to differential geometry that is largely accessible to readers not already familiar with differential geometry. It also gives a streamlined entry into the field to readers with richer mathematical backgrounds. Much space is devoted to curved exponential families and several appendices provide useful mathematical material on basic concepts in differential geometry.