Review: Samuel S. Wilks, Mathematical Statistics

Samuel Wilks: the "grand old man" of British medicine.

Generalized Likelihood Ratio Statistics and Wilks Phenomenon

The likelihood ratio theory contributes tremendous success to parametric inferences. Yet, there is no general applicable approach for nonparametric inferences based on function estimation. Maximum likelihood ratio test statistics in general may not exist in nonparametric function estimation setting. Even if they exist, they are hard to find and can not be optimal as shown in this paper. We intr...

Sir Samuel Wilks ( 1824 – 1911 ) : ‘ The Most Philosophical of English Physicians ’

This paper retells some of the achievements and personal attributes of Sir Samuel Wilks, one of the great Guy’s Hospital physicians and neurologists of the second half of the 19th century. He was a fellow of the Royal Society, president of the Royal College of Physicians, and physician extraordinary to Queen Victoria. A prolific author and original observer of clinical and pathological diseases...

Sir Samuel Wilks (1824-1911): 'the most philosophical of english physicians'.

This paper retells some of the achievements and personal attributes of Sir Samuel Wilks, one of the great Guy's Hospital physicians and neurologists of the second half of the 19th century. He was a fellow of the Royal Society, president of the Royal College of Physicians, and physician extraordinary to Queen Victoria. A prolific author and original observer of clinical and pathological diseases...

Mathematical Statistics

This material is designed to introduces basic concepts and fundamental theory of mathematical statistics. A review of basic concepts will include likelihood functions, sufficient statistics, and exponential family of distributions. Then point estimation will be discussed, including minimum variance unbiased estimates, Cramér-Rao inequality, maximum likelihood estimates and asymptotic theory. To...