Confidence Sets for the Mean of a Multivariate Normal Distribution
- 1 July 1962
- journal article
- research article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 24 (2) , 265-285
- https://doi.org/10.1111/j.2517-6161.1962.tb00458.x
Abstract
SUMMARY: An attempt is made to determine confidence sets for the mean of a multivariate normal distribution with known covariance matrix that take advantage of the fact that the sample mean is not the best estimate when the loss is a non-singular quadratic function of the error vector. Only the case of high dimension is considered. The geometrical size and shape of the confidence sets, the probability of covering false values, and the relation to posterior probabilities are studied, unfortunately somewhat incompletely.This publication has 7 references indexed in Scilit:
- On Fiducial InferenceThe Annals of Mathematical Statistics, 1961
- The fiducial method and invarianceBiometrika, 1961
- Where Do We Go from Here?Journal of the American Statistical Association, 1960
- Conditional Confidence Level PropertiesThe Annals of Mathematical Statistics, 1959
- An Example of Wide Discrepancy Between Fiducial and Confidence IntervalsThe Annals of Mathematical Statistics, 1959
- Tests of statistical hypotheses concerning several parameters when the number of observations is largeTransactions of the American Mathematical Society, 1943
- THE ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF A CONTINUOUS POPULATION OF ANY GIVEN FORMBiometrika, 1939