## The Annals of Statistics

- Ann. Statist.
- Volume 4, Number 3 (1976), 441-672

### On Rereading R. A. Fisher

#### Abstract

Fisher's contributions to statistics are surveyed. His background, skills, temperament, and style of thought and writing are sketched. His mathematical and methodological contributions are outlined. More attention is given to the technical concepts he introduced or emphasized, such as consistency, sufficiency, efficiency, information, and maximum likelihood. Still more attention is given to his conception and concepts of probability and inference, including likelihood, the fiducial argument, and hypothesis testing. Fisher is at once very near to and very far from modern statistical thought generally.

#### Article information

**Source**

Ann. Statist. Volume 4, Number 3 (1976), 441-500.

**Dates**

First available: 12 April 2007

**Permanent link to this document**

http://projecteuclid.org/euclid.aos/1176343456

**JSTOR**

links.jstor.org

**Digital Object Identifier**

doi:10.1214/aos/1176343456

**Mathematical Reviews number (MathSciNet)**

MR403889

**Zentralblatt MATH identifier**

0325.62008

**Subjects**

Primary: 62A99: None of the above, but in this section

**Keywords**

62-03 Statistical inference R. A. Fisher R. A. Fisher's contributions to statistics estimation consistency sufficiency efficiency information maximum likelihood likelihood function likelihood principle hypothesis testing fiducial probability ancillary statistics design of experiments randomization statistics induction inductive behavior inverse probability probability definition reference set Bayes' rule sampling distributions Fisher consistency Behrens-Fisher problem $k$-statistics probit randomization tests karl Pearson Edgeworth

#### Citation

Savage, Leonard J. On Rereading R. A. Fisher. The Annals of Statistics 4 (1976), no. 3, 441--500. doi:10.1214/aos/1176343456. http://projecteuclid.org/euclid.aos/1176343456.