Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation

1 January 1948

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 44 (1) , 50-57
https://doi.org/10.1017/s0305004100023987

Abstract

If the probability differential of a set of stochastic variates contains k unknown parameters, the statistical hypotheses concerning them may be simple or composite. The hypothesis leading to a complete specification of the values of the k parameters is called a simple hypothesis, and the one leading to a collection of admissible sets a composite hypothesis. In this paper we shall be concerned with the testing of these two types of hypotheses on the basis of a large number of observations from any probability distribution satisfying some mild restrictions and their use in problems of estimation.

Keywords

This publication has 11 references indexed in Scilit:

Minimum variance and the estimation of several parameters
Mathematical Proceedings of the Cambridge Philosophical Society, 1947
A System of Scoring Linkage Data, with Special Reference to the Pied Factors in Mice
The American Naturalist, 1946
THE ESTIMATION OF MAP DISTANCES FROM RECOMBINATION VALUES
Annals of Eugenics, 1943
Tests of statistical hypotheses concerning several parameters when the number of observations is large
Transactions of the American Mathematical Society, 1943
Some Examples of Asymptotically Most Powerful Tests
The Annals of Mathematical Statistics, 1941
An Optimum Property of Confidence Regions Associated with the Likelihood Function
The Annals of Mathematical Statistics, 1939
THE DETECTION OF LINKAGE WITH “DOMINANT” ABNORMALITIES
Annals of Eugenics, 1935
Probability and Statistics
Transactions of the American Mathematical Society, 1934
Probability and statistics
Transactions of the American Mathematical Society, 1934
Zusammenfassende Betrachtungen über die erblichen Blutstrukturen des Menschen
Molecular Genetics and Genomics, 1925