The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except a) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient a is measurable in one spatial variable and VMO in the other variables.

In this paper, a Bayesian variable selection method for spatial autoregressive (SAR) quantile models is proposed on the basis of spike and slab prior regression parameters. The SAR models, which are more generalized than specified by adopting asymmetric Laplace distribution error term in classical models. approach could perform simultaneously robust parametric estimation context statistical inf...

The precision of a measurement system is the consistency across multiple measurements of the same object. This paper studies the evaluation of the precision of measurement systems that measure on a bounded ordinal scale. A bounded ordinal scale consists of a finite number of categories that have a specific order. Based on an inventory of methods for the evaluation of precision for other types o...

In the medical, behavioral, social, and psychological sciences, latent variables represent unobservable traits that are measured by multiple observed variables. Latent variable models (LVMs) are useful tools for assessing the interrelationships among latent and observed variables. Due to their wide applications, LVMs have attracted significant attention from various fields. However, the majorit...

objectives: the purpose of the present study was comparing visuo-spatial attention between children with attention deficit hyperactivity disorder-inattentive (adhd-i) type and normal children. methods: in this cross-sectional study fifteen (7-10 years of age) children were classified with adhd-i type and 15 normal children were matched for age, sex, and iq. they were selected trough simple rand...

introduction in 1950s, only 30% of the world's population lived in urban areas. by 2000, that proportion increasedup to 47%, and by 2050 the estimated number will be around 72%. urban sprawl, an undesirable type of urban growth, is one of the major concerns ofthe city planners and administrators. understanding urban patterns, dynamic processes, and their relationships is a primary objectiv...

This paper presents an exploratory simulation experiment to investigate the distribution of coefficients that are used to construct eigenvector spatial filters (ESFs) (Griffith 2000; Griffith 2003). The fundamental idea of ESF exploits the decomposition of a spatial variable into the following three components: trend, spatially structured random component (i.e., spatial stochastic signal), and ...