In this paper we discuss maximum likelihood estimation when some observations are missing in mixed graphical interaction models assuming a conditional Gaussian distribution as introduced by Lauritzen & Wermuth (1989). For the saturated case ML estimation with missing values via the EM algorithm has been proposed by Little & Schluchter (1985). We expand their results to the special restrictions ...

We uncover connections between maximum likelihood estimation in statistics and norm minimization over a group orbit invariant theory. focus on Gaussian transformation families, which include matrix normal models graphical given by transitive directed acyclic graphs. use stability under actions to characterize boundedness of the likelihood, existence uniqueness estimate. Our approach reveals pro...

the zagros forests (west of iran) have been highly exploited in recent decades by human impacts. easy access, abundance and variety of valuable forest yields have led to population growth density, creation of new residential areas and deforestation activities. in order to determinate the distribution and rate of deforestation from 1995 to 2006 by using the satellite imagery (irs-1c and  landsat...

In 1993, Yang first extended the classification maximum likelihood (CML) to a so-called fuzzy CML, by combining fuzzy c-partitions with the CML function. Fuzzy c-partitions are generally an extension of hard c-partitions. It was claimed that this was more robust. However, the fuzzy CML still lacks some robustness as a clustering algorithm, such as its inability to detect different volumes of cl...