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Modeling Correlated Outcomes Using Extensions of Generalized Estimating Equations and Linear Mixed Modeling
This book formulates methods for modeling continuous and categorical correlated outcomes that extend the commonly used methods: generalized... -
Analysis of correlated unit-Lindley data based on estimating equations
In this paper we derive estimating equations for modeling unbalanced correlated data sets in which the marginal distributions follow the one...
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Penalized generalized estimating equations approach to longitudinal data with multinomial responses
In high-dimensional longitudinal data with multinomial response, the number of covariates is always much larger than the number of subjects and when...
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General unbiased estimating equations for variance components in linear mixed models
This paper introduces a general framework for estimating variance components in the linear mixed models via general unbiased estimating equations,...
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A General Equivalence Theorem for Crossover Designs under Generalized Linear Models
With the help of Generalized Estimating Equations, we identify locally D -optimal crossover designs for generalized linear models. We adopt the...
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Semiparametric estimation in generalized additive partial linear models with nonignorable nonresponse data
We address the semiparametric challenge of identifying and estimating generalized additive partial linear models with nonignorable missingness in the...
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Precision matrix estimation using penalized Generalized Sylvester matrix equation
Estimating a precision matrix is an important problem in several research fields when dealing with large-scale data. Under high-dimensional settings,...
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Generalized residuals and outlier detection for ordinal data with challenging data structures
Motivated by the analysis of rating data concerning perceived health status , a crucial variable in biomedical, economic and life insurance models,...
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Joint modeling of generalized scale-change models for recurrent event and failure time data
Recurrent event and failure time data arise frequently in many clinical and observational studies. In this article, we propose a joint modeling of...
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Combined estimating equation approaches for the additive hazards model with left-truncated and interval-censored data
Interval-censored failure time data arise commonly in various scientific studies where the failure time of interest is only known to lie in a certain...
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Use of Generalized Propensity Scores for Assessing Effects of Multiple Exposures
When interest lies in causal analysis of the effects of multiple exposures on an outcome, one may be interested in investigating the interaction...
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A generalized entropy optimization modelling in the theory of stochastic differential equations
In this study, we have developed one new approximate method to obtain a probability density function of a solution of a given stochastic differential...
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Multinomial Regression
Multinomial regression modeling of correlated sets of polytomous outcomes using the generalized logit link function is addressed allowing for... -
Introduction
An overview is provided of the material covered in the book. Methods are formulated in the book for modifications/extensions of generalized... -
Coordinate descent algorithm of generalized fused Lasso logistic regression for multivariate trend filtering
Generalized fused Lasso (GFL) is an extension of fused Lasso and performs multivariate trend filtering based on adjacent information among...
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Generalized partial linear models with nonignorable dropouts
In the presence of longitudinal data with nonignorable dropouts, we propose improved estimators for generalized partial linear models that...
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Empirical likelihood and estimating equations for survey data analysis
This paper provides an overview of empirical likelihood methods for analysis of survey data when the finite population parameters are defined through...
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Partially Modified GEE Modeling of Correlated Univariate Outcomes
Formulations are provided for a partially modified approach to standard generalized estimating equations (GEE) methods for modeling correlated sets... -
Regression Analysis and Estimating Equations
There exist several alternative approaches to inferences on statistical models using complex survey data. This chapter discusses a commonly used... -
On logistic regression with right censored data, with or without competing risks, and its use for estimating treatment effects
Simple logistic regression can be adapted to deal with right-censoring by inverse probability of censoring weighting (IPCW). We here compare two such...