Clustered binary data with a large number of covariates have become increasingly more common in many scientific disciplines. This paper develops an asymptotic theory for generalized estimating equations (GEE) analysis of clustered binary data when the number of covariates grows to infinity with the number of clusters. In this “large n, diverging p” framework, we provide appropriate regularity c...

In this paper, we discuss and introduce a new study using an integral operator wk,μm in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination superordination formula generalized operator. addition, certain theorems were found. The theory’s features outcomes are symmetric to those derived the theory.

The reactivity of the bis(pentalene)dititanium double-sandwich compound Ti2Pn†2 (1) (Pn† = 1,4-{SiiPr3}2C8H4) with CO2 is investigated in detail using spectroscopic, X-ray crystallographic, and computational studies. When the CO2 reaction is performed at -78 °C, the 1:1 adduct 4 is formed, and low-temperature spectroscopic measurements are consistent with a CO2 molecule bound symmetrically to t...

The magnetic response of a proximity-coupled superconductor–normal-metal sandwich is studied within the framework of the quasiclassical theory. The magnetization is evaluated for finite values of the applied magnetic field ~linear and nonlinear response! at arbitrary temperatures and is used to fit recent experimental lowtemperature data. The hysteretic behavior predicted from a Ginzburg-Landau...

A graph G = (V,E) is a chordal probe graph if its vertices can be partitioned into two sets, P (probes) and N (non-probes), where N is a stable set and such that G can be extended to a chordal graph by adding edges between non-probes. We give several characterizations of chordal probe graphs, first, in the case of a fixed given partition of the vertices into probes and non-probes, and second, i...

The influence of elevated temperature on the stability of sandwich structures is investigated. A new analytical solution is proposed that enables the calculation of the critical wrinkling stress in sandwich beams subjected to load and elevated temperatures. The effect of a through thickness temperature gradient is accounted for by imposing different stiffnesses of the core for the different tem...

We introduce the concept of sandwich set of two fuzzy matrices.By using the new concept of sandwich set, we provide a method for finding a semi inverse of max-min product of fuzzy matrices. 1. Introduction Generalized inverse of matrices and its applications are studied by Rao and Mitra[3]. Ren et.al[4] introduced the concept of sandwich sets of matrices. By using the sandwich sets of matrices,...

In nonlinear regression theory, the sandwich estimator of the covariance matrix of the model parameters is known as a consistent estimator, even when the parameterized model does not contain the regression. However, in the latter case, we emphasize the fact that the consistency of the sandwich holds only if the inputs of the training set are the values of independent identically distributed ran...