Maximum-Likelihood Estimate of Proportion using Supplementary Information

An Inconsistent Maximum Likelihood Estimate

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Maximum-Likelihood Estimate for Distance Matrix

The structure of relationship among subjects is an interesting topic in many social studies, especially phylogeny. The between-subject relationships are commonly measured by similarity or dissimilarity metrics and represented using a distance matrix. Based on this distance matrix, a tree can be constructed to characterize the overall structure of inferred relationships among all subjects. Curre...

On the robustness of maximum composite likelihood estimate

Composite likelihood methods have been receiving growing interest in a number of different application areas, where the likelihood function is too cumbersome to be evaluated. In the present paper, some theoretical properties of the maximum composite likelihood estimate (MCLE) are investigated in more detail. Robustness of consistency of the MCLE is studied in a general setting, and clarified an...

A maximum likelihood estimate for two-variable fractal surface

The fractal dimension estimate for two-variable fractional Brownian motion using the maximum likelihood estimate (MLE) is developed. We formulate a model to describe the two-variable fractional Brownian motion, then derive the likelihood function for that model and estimate the fractal dimension by maximizing the likelihood function. We then compare the MLE with the box-dimension estimation met...

SUPPLEMENTARY INFORMATION Manifold learning and maximum likelihood estimation for hyperbolic network embedding