Asymptotic Normality of Random Fields of Positively or Negatively Associated Processes

Asymptotic Normality of Kernel Type Density Estimators for Random Fields

Kernel type density estimators are studied for random fields. It is proved that the estimators are asymptotically normal if the set of locations of observations become more and more dense in an increasing sequence of domains. It turns out that in our setting the covariance structure of the limiting normal distribution can be a combination of those of the continuous parameter and the discrete pa...

Asymptotic normality for deconvolution kernel density estimators from random fields

The paper discusses the estimation of a continuous density function of the target random field Xi, i ∈ Z N which is contaminated by measurement errors. In particular, the observed random field Yi, i ∈ Z N is such that Yi = Xi + ǫi, where the random error ǫi is from a known distribution and independent of the target random field. Compared to the existing results, the paper is improved in two dir...

Asymptotic Normality of a Nonparametric Conditional Quantile Estimator for Random Fields

Asymptotic normality of kernel estimates in a regression model for random fields

We establish the asymptotic normality of the regression estimator in a fixeddesign setting when the errors are given by a field of dependent random variables. The result applies to martingale-difference or strongly mixing random fields. On this basis, a statistical test that can be applied to image analysis is also presented. AMS Subject Classifications (2000): 60G60, 60F05, 62G08

control of the optical properties of nanoparticles by laser fields

در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...