Two new properties of mathematical likelihood

29 March 1934

journal article
research article
Published by The Royal Society in Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character

Vol. 144 (852) , 285-307
https://doi.org/10.1098/rspa.1934.0050

Abstract

(i) Reasons are given for the use of mathematical likelihood in problems involving inductive reasoning. (ii) It is shown that when a sufficient statistic exists its sampling distribution may be inferred from the likelihood, (iii) A second class of cases is defined and illustrated in which the totality of the information supplied may be utilised, giving a very simple derivation of the sampling distribution.