A numerical solution of the system linear Volterra–Stieltjes integral equations second kind has been found and analyzed using so-called generalized trapezoid rule. Conditions for estimating error have also determined justified. an example obtained proposed method is given.

The estimation of correlation parameters has received attention for both its own interest and improvement of the estimation efficiency of mean parameters by the generalized estimating equations (GEE) approach. Many of the well-established methods for the estimation of correlation parameters can be constructed under the GEE framework which is, however, sensitive to outliers. In this paper, we co...

The sandwich estimator of variance may be used to create robust Wald-type tests from estimating equations that are sums of K independent or approximately independent terms. For example, for repeated measures data on K individuals, each term relates to a different individual. These tests applied to a parameter may have greater than nominal size if K is small, or more generally if the parameter t...

rational functions are of great interest to engineers and geoscientists. the rational polynomial coefficient (rpc) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. numerical instability of normal equations is the only single obstacle to the implementation of these functions. practically, estimating rational functio...

background: oral health education for the mothers of very young children is important in reducing the risk of early childhood caries. this study aimed to evaluate the impact of an oral health intervention among mothers of 1-2 years old children. methods: this cluster randomized controlled trial (2012) was conducted among ninety mothers of 1-2 year old children. the setting of study was 10 child...

In this thesis, we propose to analyze panel count data using a spline-based sieve generalized estimating equation method with a semiparametric proportional mean model E(N(t)|Z) = Λ0 (t) e T 0 Z . The natural log of the baseline mean function, logΛ0 (t), is approximated by a monotone cubic B-spline function. The estimates of regression parameters and spline coefficients are the roots of the spli...

A SAS/IML software program is described that computes regression diagnostics for generalized estimating equations. These diagnostics are computationally efficient and accurate approximations for the effect of deleting one observation or one cluster on individual regression coefficients (DFBETA) or on the overall fit of the model (Cook’s Distance). New formulae for the diagnostics are presented ...

Methods: We defined PIRx using the combined version of the Beers criteria. Data were from the 1996 Medical Expenditure Panel Survey Nursing Home Component. The study sample included 3372 residents, 65 years and older, who had nursing home stays of 3 consecutive months or longer in 1996. We performed multivariate logistic regression analyses of longitudinal data using generalized estimating equa...