We extend Buja’s concept of “pseudo-capacities”, which comprises the neighbourhood models for classical probabilities commonly used in robust statistics. Although systematically developing various directions for generalizing that model, we especially show that robust statistics can be freed from the severe restriction to 2-monotone capacities by employing the more natural framework of coherent ...

introduction: learning and study strategies are considered to be among the factors affecting students’ performance and also are essential for appropriate educational interventions. this study was conducted to determine the relationship between learning and study strategies and academic performance of students in alborz university of medical sciences. methods: in this descriptive, analytical, cr...

2.1 Sufficient statistics. Classically, a " statistic " is a measurable function of the observations , say f (X 1 ,. .. , X n). The concept of " statistic " differs from that of " random variable " in that a random variable is defined on a probability space, so that one probability measure is singled out, where for statistics we have in mind a family of possible probability measures, R. A. Fish...

For a polynomial F(t, A1, …, An) ∈ $$\mathbb{F}$$ p[t, An] (p being prime number) we study the factorization statistics of its specializations $$F\left({t,{a_1}, \ldots ,{a_n}} \right) \in {\mathbb{F}_p}\left[t \right]$$ with (a1, an) S, where $$S \subset \mathbb{F}_p^n$$ is subset, in limit p → ∞ and deg F fixed. We show that for sufficiently large regular subset , e.g., product n intervals le...

the aim of this work was to optimize the coagulation-flocculation (cf) process applied tomunicipal wastewaters (ww). optimization of cf was performed to minimize chemical oxygen demand(cod), turbidity, sludge produced, and some metals in sludge. a box-behnken design was used to evaluate the effects and interactions of three factors such as type of biopolymer (guar, mesquite seed gum and opuntia...

The populations of parasites and infectious agents are most of the time structured in complex hierarchy that lies beyond the classical nested design described by Wright's F-statistics (F(IS), F(ST) and F(IT)). In this note we propose a user-friendly step-by-step notice for using recent software (HierFstat) that computes and test fixation indices for any hierarchical structure. We add some trick...

We study the global fluctuations for linear statistics of the form ∑ n i=1 f(λi) as n → ∞, for C functions f , and λ1, . . . , λn being the eigenvalues of a (general) β-Jacobi ensemble [18, 29]. The fluctuation from the mean ( ∑ n i=1 f(λi)− E ∑ n i=1 f(λi)) is given asymptotically by a Gaussian process. We compute the covariance matrix for the process and show that it is diagonalized by a shif...

For applications in spatial statistics, an important property of a random set X in R k is its rst contact distribution. This is the distribution of the distance from a xed point 0 to the nearest point of X, where distance is measured using scalar dilations of a xed test set B. We show that, if B is convex and contains a neighbourhood of 0, the rst contact distribution function F B is absolutely...

This paper is concerned with the study of a circular random distribution called geodesic Normal distribution recently proposed for general manifolds. This distribution, parameterized by two real numbers associated to some specific location and dispersion concepts, looks like a standard Gaussian on the real line except that the support of this variable is [0, 2π) and that the Euclidean distance ...

This paper develops a new asymptotic theory for two-step GMM estimation and inference in the presence of clustered dependence. The key feature of alternative asymptotics is the number of clusters G is regarded as small or fixed when the sample size increases. Under the small-G asymptotics, this paper shows the centered two-step GMM estimator and the two continuously-updating GMM estimators we c...