Testing Statistical Hypotheses: | Volume I (sprin...

Doctoral students in statistics, mathematics, and econometrics.

It explores the deep duality between hypothesis testing and confidence intervals, showing how one can be derived from the other. Impact on the Field Testing Statistical Hypotheses: Volume I (Sprin...

Much of the theory is built upon the properties of exponential families, providing a unified framework for normal, binomial, and Poisson distributions. Doctoral students in statistics

A strong command of measure theory and advanced probability. providing a unified framework for normal

The book provides rigorous proofs for the existence and construction of UMP tests, particularly in the context of monotone likelihood ratios.