THE MAXIMUM LIKELIHOOD ESTIMATORS IN
MULTIVARIATE NORMAL DISTRIBUTION WITH AR(1)
COVARIANCE STRUCTURE FOR MONOTONE DATA

HIRONORI FUJISAWA

Department of Mathematics, Faculty of Science, Hiroshima University,
Kagamiyama 1-3, Higashi-Hiroshima 739, Japan

(Received March 16, 1995; revised August 7, 1995)

Abstract.    The maximum likelihood estimators are uniquely obtained in a multivariate normal distribution with AR(1) covariance structure for monotone data. The maximum likelihood estimator of mean is unbiased.

Key words and phrases:    AR(1) covariance structure, conditional distribution, maximum likelihood estimator, missing data, monotone data, multivariate normal distribution.

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