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Generalized Estimating Equations
Journal of the American Statistical Association, 2004(2004). Generalized Estimating Equations. Journal of the American Statistical Association: Vol. 99, No. 465, pp. 297-298.
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Journal of the American Statistical Association, 1998
Abstract Estimating equations have found wide popularity recently in parametric problems, yielding consistent estimators with asymptotically valid inferences obtained via the sandwich formula. Motivated by a problem in nutritional epidemiology, we use estimating equations to derive nonparametric estimators of a “parameter” depending on a predictor. The
Raymond J. Carroll +2 more
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Abstract Estimating equations have found wide popularity recently in parametric problems, yielding consistent estimators with asymptotically valid inferences obtained via the sandwich formula. Motivated by a problem in nutritional epidemiology, we use estimating equations to derive nonparametric estimators of a “parameter” depending on a predictor. The
Raymond J. Carroll +2 more
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Sequential Estimation through Estimating Equations
1994Using the approach to estimation through estimating equations, the information inequalities for regular sequential estimating plans are given and an optimum property of regular maximum likelihood sequential plans is shown in a general model for stochastic processes. The optimum sequential estimating functions are obtained in the nuisance parameter case
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Multiparametric estimating equations
Annals of the Institute of Statistical Mathematics, 1982Let {p(x, θ): θ∈Θ} be a family of densities where θ=(θ1,θ2), being θ1 ∈ Θ1 ak-dimensional parameter of interest, θ2 ∈ Θ2 a nuisance parameter and Θ=Θ1×Θ2. To estimate θ1, vector estimating equations g(x,θ1)=(g1(x,θ1),...,gk(x,θ1))=0 are considered. The standardized form of g(x,θ1) is defined as gs=(Eθ(∂g/∂θ′1))−1g. Then, within the classG 1 of unbiased
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Generalised Estimation Equations
2009In this chapter, we analyse three data sets; California birds, owls, and deer. In the first data set, the response variable is the number of birds measured repeatedly over time at two-weekly intervals at the same locations. In the owl data set (Chapter 5), the response variable is the number of calls made by all offspring in the absence of the parent ...
Alain F. Zuur +4 more
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Simultaneous Equations Estimation
1987This chapter examines some estimation questions that arise in learning models commonly used by economists doing research on economic education. Specifically, the discussion focuses on simultaneous equations problems in the context of models that attempt to explain the understanding of economics after having taken a college level principles of economics
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings
Nature Nanotechnology, 2023Andrea Cordaro, Andrea Alu
exaly
DeepXDE: A Deep Learning Library for Solving Differential Equations
SIAM Review, 2021Lu Lu, George E Karniadakis
exaly

