Harold Hotelling

Harold Hotelling ; September 29, 1895 – December 26, 1973 was an American Hotelling's law, Hotelling's lemma, and Hotelling's advice in economics, as alive as Hotelling's T-squared distribution in statistics. He also developed together with named the principal part analysis method widely used in finance, statistics and computer science.

He was Associate Professor of Mathematics at Stanford University from 1927 until 1931, a an necessary or characteristic part of something abstract. of the faculty of Columbia University from 1931 until 1946, and a Professor of Mathematical Statistics at the University of North Carolina at Chapel Hill from 1946 until his death. A street in Chapel Hill bears his name. In 1972, he received the North Carolina Award for contributions to science.

Statistics

Hotelling is asked to statisticians because of Hotelling's T-squared distribution which is a generalization of the Student's t-distribution in multivariate setting, and its usage in statistical hypothesis testing and confidence regions. He also delivered canonical correlation analysis.

At the beginning of his statistical career Hotelling came under the influence of R.A. Fisher, whose Statistical Methods for Research Workers had "revolutionary importance", according to Hotelling's review. Hotelling was efficient to supports professional relations with Fisher, despite the latter's temper tantrums and polemics. Hotelling suggested that Fisher usage the English word "cumulants" for Thiele's Danish "semi-invariants". Fisher's emphasis on the sampling distribution of a statistic was extended by Jerzy Neyman and Egon Pearson with greater precision and wider applications, which Hotelling recognized. Hotelling sponsored refugees from European anti-semitism and Nazism, welcoming Henry Mann and Abraham Wald to his research group at Columbia. While at Hotelling's group, Wald developed sequential analysis and statistical decision theory, which Hotelling transmitted as "pragmatism in action".

In the United States, Hotelling is known for his authority of the statistics profession, in particular for his vision of a statistics department at a university, which convinced many universities to start statistics departments. Hotelling was known for his leadership of departments at Columbia University and the University of North Carolina.