Approximate Maximum Likelihood Estimates in Regression Models for Grouped Data

1978 ◽  
Author(s):  
A. Indrayan ◽  
J. S. Rustagi
Keyword(s):  
Maximum Likelihood ◽  
Regression Models ◽  
Maximum Likelihood Estimates ◽  
Grouped Data ◽  
Approximate Maximum Likelihood

Retention or Attrition Models

1989 ◽  
Vol 14 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Irwin Guttman ◽  
Ingram Olkin
Keyword(s):  
Maximum Likelihood ◽  
Bayesian Analysis ◽  
Maximum Likelihood Estimates ◽  
Attrition Rates ◽  
Approximate Maximum Likelihood ◽  
Alternative Models

A model for retention and its counterpart, attrition, is presented. In a prototype example, students enter a program in each of k terms; some of the students complete the program, and the remainder leave. A key feature in the models proposed is that there is a dampening effect from term to term because the probability of leaving the program diminishes as the terms progress. The focus of this paper is the study of alternative models for the dampening in attrition rates. A number of alternative dampening effects are proposed that provide for different rates of attrition. Approximate maximum likelihood estimates for the underlying parameters in each model and a Bayesian analysis are provided.

scholarly journals Finite mixture of compositional regression with gaussian errors

2018 ◽  
Vol 41 (1) ◽  
pp. 75-86
Author(s):  
Taciana Shimizu ◽  
Francisco Louzada ◽  
Adriano Suzuki
Keyword(s):  
Maximum Likelihood ◽  
Em Algorithm ◽  
Regression Model ◽  
Simulation Study ◽  
Regression Models ◽  
Finite Mixture ◽  
Maximum Likelihood Estimates ◽  
The Real ◽  
Compositional Structure ◽  
Volleyball Players

In this paper, we consider to evaluate the efficiency of volleyball players according to the performance of attack, block and serve, but considering the compositional structure of the data related to the fundaments. The finite mixture of regression models better fitted the data in comparison with the usual regression model. The maximum likelihood estimates are obtained via an EM algorithm. A simulation study revels that the estimates are closer to the real values, the estimators are asymptotically unbiased for the parameters. A real Brazilian volleyball dataset related to the efficiency of the players is considered for the analysis.

Catch-–effort maximum likelihood estimation of important population parameters

1997 ◽  
Vol 54 (4) ◽  
pp. 890-897 ◽  
Author(s):  
W R Gould ◽  
K H Pollock
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Regression Models ◽  
Model Development ◽  
Likelihood Estimation ◽  
Maximum Likelihood Estimates ◽  
Linear Regression Models ◽  
Estimation Of Parameters ◽  
Regression Methods ◽  
Regression Techniques

The relative ease with which linear regression models are understood explains the popularity of such techniques in estimating population size with catch-effort data. However, the development and use of the regression models require assumptions and approximations that may not accurately reflect reality. We present the model development necessary for maximum likelihood estimation of parameters from catch-effort data using the program SURVIV, the primary intent being to present biologists with a vehicle for producing maximum likelihood estimates in lieu of using the traditional regression techniques. The differences between the regression approaches and maximum likelihood estimation will be illustrated with an example of commercial fishery catch-effort data and through simulation. Our results indicate that maximum likelihood estimation consistently provides less biased and more precise estimates than the regression methods and allows for greater model flexibility necessary in many circumstances. We recommend the use of maximum likelihood estimation in future catch-effort studies.

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