EMPIRICAL DISTRIBUTION FUNCTIONS AND FUNCTIONS OF ORDER STATISTICS FOR MIXING RANDOM VARIABLES
Journal of Multivariate Analysis, 1980 AbstractSome fundamental properties of the empirical distribution functions are derived in the case of mixing random variables. These properties are then utilized to study asymptotic normality and strong laws of large numbers for functions of order statistics.
Puri, Madan L., Tran, Lanh T.
semanticscholar +4 more sources
Journal of Multivariate Analysis, 1985 For a random sample of size N from a uniform distribution over (0,1), let \(U_{n:N}\) denote the \(n^{th}\) order statistic for \(1\leq n\leq N\). Define \(U_{0:N}=0\) and \(U_{n:N}=1+U_{n-N-1:N}\) for \(n>N\). Then uniform \(m^{th}\) order spacings are given by \(D(m,n,N)=U_{n+m:N}- U_{n:N}\) for \(0\leq n\leq N.\) This paper investigates the ...
Beirlant, Jan, van Zuijlen, M.C.A
semanticscholar +4 more sources
Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions [PDF]
The Annals of Mathematical Statistics, 1971 G.P. Steck
semanticscholar +5 more sources
On Probabilistic Convergence Rates of Symmetric Stochastic Bernstein Polynomials
MathematicsThis paper analyzes the exponential convergence properties of Symmetric Stochastic Bernstein Polynomials (SSBPs), a novel approximation framework that combines the deterministic precision of classical Bernstein polynomials (BPs) with the adaptive node ...
Shenggang Zhang +2 more
doaj +2 more sources
The use of personal weather station observations to improve precipitation estimation and interpolation [PDF]
Hydrology and Earth System Sciences, 2021 The number of personal weather stations (PWSs) with data available through the internet is increasing gradually in many parts of the world. The purpose of this study is to investigate the applicability of these data for the spatial interpolation of ...
A. Bárdossy, J. Seidel, A. El Hachem
doaj +1 more source
The Reliability of Numerical Modeling in Remote Sensing Data Analysis [PDF]
E3S Web of Conferences, 2020 The article deals with the problem of calculating reliable estimates of empirical distribution functions under conditions of small sample and data uncertainty.
Dobronets Boris, Popova Olga
doaj +1 more source
Exact Feature Distribution Matching for Arbitrary Style Transfer and Domain Generalization [PDF]
Computer Vision and Pattern Recognition, 2022 Arbitrary style transfer (AST) and domain generalization (DG) are important yet challenging visual learning tasks, which can be cast as a feature distribution matching problem.
Yabin Zhang +4 more
semanticscholar +1 more source
U-statistics of local sample moments under weak dependence [PDF]
Latin American Journal of Probability and Mathematical Statistics, 2023 In this paper, we study the asymptotic distribution of some U-statistics whose entries are functions of empirical moments computed from non-overlapping consecutive blocks of an underlying weakly dependent process.
H. Dehling, D. Giraudo, S. Schmidt
semanticscholar +1 more source
F1000Research, 2023 Background The creation of developing new generalized classes of distributions has attracted applied and theoretical statisticians owing to their properties of flexibility. The development of generalized distribution aims to find distribution flexibility
Arnold K. Fulment +2 more
doaj +1 more source
Assessing students' knowledge of the concept of science and scientific exploration and its relationship with understanding a physical concept (mass) [PDF]
Fanāvarī-i āmūzish, 2021 Background and Objective: Today, a positivist one-dimensional view of science, where it considers scientific propositions to be objective, definite, and fixed, is not credible enough, and the interdisciplinary and multidimensional nature of science is ...
N. Basiri, F. Ahmadi, M. Neek-Amal
doaj +1 more source