A broadly applicable algorithm for computing maximum likelihood estimates from incomplete data is presented at various levels of generality. Theory showing the monotone behaviour of the likelihood and convergence of the algorithm is derived. Many examples are sketched, including missing value

Abstract The Maximum Likelihood method estimates the parameter values of a statistical model that maximizes the corresponding likelihood function, given the sample information. This is the primal approach that, in this paper, is presented as a mathematical programming specification whose solution

Each visit is assigned a probability pij, which is the risk that person i becomes infected during visit j. Each person can of course become infected during any visit or escape infection. The entire sequence of possible events (e.g., person i infected during the first visit or person i infected during second visit) is summed over all persons and all visits according to equation 1. The risk for infection (pij) is then estimated by maximizing this equation:

A versatile method, quartet puzzling, is introduced to reconstruct the topology (branching pattern) of a phylogenetic tree based on DNA or amino acid sequence data. This method applies maximum-likelihood tree reconstruction to all possible quartets that can be formed from n sequences. The quartet

Abstract. The Maximum Likelihood Method is generalized to include effects

Comparison of time domain maximum likelihood method and sample maximum likelihood method in errors-in-variables identification

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A signal composed of sinusoids equispaced in frequency appears in certain applications. One such applicationis fault detection of rotating machines. We propose maximum likelihood method for estimating the spacing of frequencies, when the number of samples is to be minimised. The application

A method for analysis of decay data is presented. The method is based on maximum likeli-hood theory and so general that it is applicable to any other experimental distributions. The va-lidity of the proposed method has been successfully tested against the artificial dacay data. It is pointed out