Density expansions of extremes from general error distribution with applications

Asymptotic expansions for distributions of extremes from generalized Maxwell distribution

In this paper, with optimal normalized constants, the asymptotic expansions of the distribution of the normalized maxima from generalized Maxwell distribution is derived. It shows that the convergence rate of the normalized maxima to the Gumbel extreme value distribution is proportional to 1/ log n.

A general study of extremes of stationary tessellations with applications

Let m be a random tessellation in R observed in a bounded Borel subset W and f(·) be a measurable function defined on the set of convex bodies. To each cell C of m we associate a point z(C) which is the nucleus of C. Applying f(·) to all the cells of m, we investigate the order statistics of f(C) over all cells C ∈ m with nucleus in Wρ = ρ1/dW when ρ goes to infinity. Under a strong mixing prop...

Measurement error models with a general class of error distribution

The ordinary maximum likelihood (ML) approach in classical regression models, fails when the independent variables are subject to error. The most noticeable and well known problem reported in the literature is the inconsistency of the ML estimators [1]. To solve this problem, a number of alternatives were proposed. The measurement error model (MEM) is the most fashionable of them, but it has so...

the effect of traffic density on the accident externality from driving the case study of tehran

در این پژوهش به بررسی اثر افزایش ترافیک بر روی تعداد تصادفات پرداخته شده است. به این منظور 30 تقاطع در شهر تهران بطور تصادفی انتخاب گردید و تعداد تصادفات ماهیانه در این تقاطعات در طول سالهای 89-90 از سازمان کنترل ترافیک شهر تهران استخراج گردید و با استفاده از مدل داده های تابلویی و نرم افزار eviews مدل خطی و درجه دوم تخمین زده شد و در نهایت این نتیجه حاصل شد که تقاطعات پر ترافیک تر تعداد تصادفا...

Asymptotic Distribution of Divergence Measure with Applications