Expectations and variances of maximum likelihood estimates of the multivariate normal distribution parameters with missing data
DF Morrison - Journal of the American Statistical Association, 1971 - Taylor & Francis
DF Morrison
Journal of the American Statistical Association, 1971•Taylor & FrancisExact expectations and variances have been obtained for the maximum likelihood estimates
of the elements of the mean vector and covariance matrix of the multivariate normal
distribution when a subset of the variates does not have observations on some sampling
units. The biases, variances, and mean square errors of the estimates are compared with
those of the usual estimates computed from the complete observation vectors. When the
correlations between the complete and incomplete sets of variates are small the multivariate …
of the elements of the mean vector and covariance matrix of the multivariate normal
distribution when a subset of the variates does not have observations on some sampling
units. The biases, variances, and mean square errors of the estimates are compared with
those of the usual estimates computed from the complete observation vectors. When the
correlations between the complete and incomplete sets of variates are small the multivariate …
Abstract
Exact expectations and variances have been obtained for the maximum likelihood estimates of the elements of the mean vector and covariance matrix of the multivariate normal distribution when a subset of the variates does not have observations on some sampling units. The biases, variances, and mean square errors of the estimates are compared with those of the usual estimates computed from the complete observation vectors. When the correlations between the complete and incomplete sets of variates are small the multivariate missing value estimates are less efficient in the mean square error sense.
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