Epidemiologic data are often clustered within multiple levels that may not be nested within each other. Generalized estimating equations are commonly used to adjust for correlation among observations within clusters when fitting regression models; however, standard software does not currently accommodate nonnested clusters. This paper introduces a simple generalized estimating equation strategy...

Epidemiologic data are often clustered within multiple levels that may not be nested within each other. Generalized estimating equations are commonly used to adjust for correlation among observations within clusters when fitting regression models; however, standard software does not currently accommodate nonnested clusters. This paper introduces a simple generalized estimating equation strategy...

Cattaneo, Grump, and Jansson (2013) present an interesting estimator, namely the generalized jackknife estimator, for estimating weighted average derivatives. Starting with a high-order (in this case, second-order) linearization of the estimating equation, they obtain the asymptotic approximation under a weak bandwidth selection which does not require the standard convergence rate of the nonpar...

Many of the classical estimation methods of statistics lead to estirnators that solve an equation. In common special cases, estimating equationbased estimators have appeal because they correspond to the maximum or minimum of an objective function. In such cases, an intuitively reasonable criterion for estimation, such as minimizing the Euclidean distance between the observation vector and the f...

some necessary and sufficient conditions are given for the existence of a g-positive (g-repositive) solution to adjointable operator equations $ax=c,axa^{left( astright) }=c$ and $axb=c$ over hilbert $c^{ast}$-modules, respectively. moreover, the expressions of these general g-positive (g-repositive) solutions are also derived. some of the findings of this paper extend some known results in the...

We consider generalized partially linear measurement error models when the linear covariate is measured with additive errors. Estimators of parameter and nonparametric function obtained by local liner regression with kernel weight, the SIMEX technique, and generalized estimating equation are proposed. The asymptotic normality of the estimate of the parameter and the asymptotics of the estimate ...

this article is devoted to study of the autoconvolution equations and generalized mittag-leffler functions. these types of equations are given in terms of the laplace transform convolution of a function with itself. we state new classes of the autoconvolution equations of the first kind and show that the generalized mittag-leffler functions are solutions of these types of equations. in view of ...

adomian decomposition method has been applied to solve many functional equations so far. in this article, we have used this method to solve the fuzzy differential equation under generalized differentiability. we interpret a fuzzy differential equation by using the strongly generalized differentiability. also one concrete application for ordinary fuzzy differential equation with fuzzy input data...