On a mixture of normal distributions

Javad Behboodian

Biometrika, 1970, vol. 57, issue 1, 215-217

Abstract: SummaryIn a mixture of k normal distributions the maximum likelihood estimates of μj and σ2j, forj = 1, …, k, can be expressed by a weighted sample mean and a weighted sample variance, and the maximum likelihood estimates of the over-all mean and variance of the mixture coincide with the sample mean and sample variance.

Date: 1970
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