Maximum likelihood estimation of linear structural relationship model parameters assuming the slope is known

Maximum Likelihood Estimation of Parameters in Generalized Functional Linear Model

Sometimes, in practice, data are a function of another variable, which is called functional data. If the scalar response variable is categorical or discrete, and the covariates are functional, then a generalized functional linear model is used to analyze this type of data. In this paper, a truncated generalized functional linear model is studied and a maximum likelihood approach is used to esti...

Maximum Likelihood Solution for the Linear Structural Relationship With Three Parameters Known

Robust maximum likelihood estimation in the linear model

This paper addresses the problem of maximum likelihood parameter estimation in linear models a!ected by Gaussian noise, whose mean and covariance matrix are uncertain. The proposed estimate maximizes a lower bound on the worst-case (with respect to the uncertainty) likelihood of the measured sample, and is computed solving a semide"nite optimization problem (SDP). The problem of linear robust e...

Maximum likelihood estimation of survival curve parameters.

A maximum likelihood procedure is presented for the estimation of the parameters in a survival curve which is used in the quantitative investigation of cytological damage resulting from ionizing radiation. This estimation procedure is developed under the assumption that the observations are distributed as independent Poisson random variables. In addition, a weighted least squares procedure, whi...

Maximum Likelihood Estimation of Dirichlet Distribution Parameters

The Dirichlet distribution is one that has often been turned to in Bayesian statistical inference as a convenient prior distribution to place over proportional data. To properly motivate its study, we will begin with a simple coin toss example, where the task will be to find a suitable distribution P which summarizes our beliefs about the probability that the toss will result in heads, based on...