In this paper, we establish an optimal dual version of trace estimate involving angular regularity. Based on this estimate, we get the generalized Morawetz estimates and weighted Strichartz estimates for the solutions to a large class of evolution equations, including the wave and Schrödinger equation. As applications, we prove the Strauss’ conjecture with a kind of mild rough data for 2 ≤ n ≤ ...

A weighted cluster sample survey design is frequently used in large demographic sample surveys. In the National Health Interview Survey conducted by the National Center for Health Statistics, households are often selected in clusters of four. In this survey, sociodemographic and health characteristics of all members of sample households are recorded. Such characteristics for each person intervi...

This paper presents a new hybrid fuzzy clustering method. In the proposed method, cluster prototypes are values that minimize the introduced generalized cost function. The proposed method can be considered as a generalization of fuzzy c-means (FCM) method as well as the fuzzy c-median (FCMed) clustering method. The generalization of the cluster cost function is made by applying the Lp norm. The...

We consider methods for reducing the effects of fitting nuisance parameters on a general estimating function, when the estimating function depends on not only a vector of parameters of interest, θ, but also a vector of nuisance parameters, λ. We propose a class of modified profile estimating functions with plug-in bias reduced by two orders. A robust version of the adjustment term does not requ...

Magnetic resonance imaging studies were performed in six patients with chronic head and neck pain and in five control subjects to determine whether irreversible atrophic changes resulting in destruction of muscle fibers have a role in patients with chronic pain specific to the cervical spine. Both groups of subjects had medical history obtained and underwent physical examination and proton dens...

Generalized estimating equations (GEE) fit parameters based on sums of weighted residuals, which may be applied for example to the Poisson distribution. We discuss Generalized Poisson (GP) response data. This distribution has a more flexible variance function than the Poisson distribution and has an additional dispersion parameter. To fit this parameter, second level estimating equations based ...

Factors, obtained by correspondence analysis, are used to find biclustering of a contingency table such that the row–column cluster pairs are regular, i.e., they have small discrepancy. In our main theorem, the constant of the so-called volumeregularity is related to the SVD of the normalized contingency table. This result is applicable to two-way cuts when both the rows and columns are divided...

We analyze different types of aggregation operators. We focus on the generalized OWA (GOWA) operator and the Quasi-OWA operator which generalize a wide range of aggregation operators. We also analyze a recent approach that unifies the weighted average and the OWA operator in the same formulation called ordered weighted averaging – weighted averaging (OWAWA) operator. We introduce the fuzzy gene...

We consider the problem of simultaneously estimating surface texture map and the pseudo illumination, which is the combined effect of illumination and surface BRDF, given the object geometry and its calibrated images taken from multiple viewpoints. We derive the bilinear reflection equation that relates the texture albedos and the pseudo illumination to the surface reflectance. The reflection e...

the aim of this study was to determine the prevalence rate of mental disorders among people aged 15 and over. after a pilot study for estimating the sample size, 625 subjects were selected by random cluster sampling from family information files in sowmaesara health centre office. in this study, ghq-28 was used as a screening tool, and dsm-iii-r clinical interview checklist for diagnostic inter...