Results 51 to 60 of about 2,000,076 (197)
, 2014 A basic result of large deviations theory is Sanov's theorem, which states that the sequence of empirical measures of independent and identically distributed samples satisfies the large deviation principle with rate function given by relative entropy ...
Fischer, Markus
core +1 more source
Replacing Histogram with Smooth Empirical Probability Density Function Estimated by K-Moments
Sci, 2022 Whilst several methods exist to provide sample estimates of the probability distribution function at several points, for the probability density of continuous stochastic variables, only a gross representation through the histogram is typically used.
Demetris Koutsoyiannis
doaj +1 more source
On almost sure convergence rates for the kernel estimator of a covariance operator under negative association [PDF]
Journal of Mahani Mathematical ResearchIt is suppose that $\{X_n,~n\geq 1\}$ is a strictly stationary sequence of negatively associated random variables with continuous distribution function F.
Hadi Jabbari
doaj +1 more source
Image Feature Extraction Using Symbolic Data of Cumulative Distribution Functions
MathematicsSymbolic data analysis is an emerging field in statistics with great potential to become a standard inferential technique. This research introduces a new approach to image feature extraction using the empirical cumulative distribution function (ECDF) and
Sri Winarni +3 more
doaj +1 more source
Polygonal smoothing of the empirical distribution function [PDF]
Statistical Inference for Stochastic Processes, 2018 Let \( X_{1},\ldots,X_{n} \) be i.i.d. random variables with cumulative distribution function (cdf) \(F\). The most classical and simple estimate of the cdf \(F\) is the empirical distribution function (edf) \( F_{n}\left(x \right) = \frac{1}{n} \sum_{i=1}^{n} \mathbb{I}_{\left( -\infty,x\right] } \left(X_{i} \right) \), \( x\in \mathbb{R} \), where \(
Blanke, Delphine, Bosq, Denis
openaire +2 more sources
StatsIn this article, we propose a goodness-of-fit test for a one-parameter Lindley distribution based on energy statistics. The Lindley distribution has been widely used in reliability studies and survival analysis, especially in applied sciences.
Joseph Njuki, Ryan Avallone
doaj +1 more source
Modified cosine-quadratic reflectance model
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie ŚrodowiskaIn the article, a new light reflectance model is proposed. The model is based on the modified cosine-quadratic bidirectional reflectance distribution function. The concept of bidirectional reflectance distribution function is analyzed. The disadvantages
Oleksandr Romanyuk +2 more
doaj +1 more source
The asymptotic distribution of weighted empirical distribution functions
Stochastic Processes and their Applications, 1983 AbstractLet Gn denote the empirical distribution based on n independent uniform (0, 1) random variables. The asymptotic distribution of the supremum of weighted discrepancies between Gn(u) and u of the forms ‖wv(u)Dn(u)‖ and ‖wv(Gn(u))Dn(u)‖, where Dn(u) = Gn(u)−u, wv(u) = (u(1−u))−1+v and 0 ⩽ v < 12 is obtained.
openaire +2 more sources
The spatial distribution in infinite dimensional spaces and related quantiles and depths
, 2014 The spatial distribution has been widely used to develop various nonparametric procedures for finite dimensional multivariate data. In this paper, we investigate the concept of spatial distribution for data in infinite dimensional Banach spaces.
Chakraborty, Anirvan, Chaudhuri, Probal
core +1 more source
Features of Countries’ Heterogeneity over Ethnic Diversity: Cases of Sri-Lanka, USA, PRC [PDF]
Prostranstvennaâ Èkonomika, 2017 We explore countries’ heterogeneity over ethnic diversity on the example of Sri-Lanka, PRC, and USA. The ethnic diversity is estimated with entropy-like indices, the Gini-Simpson index, and a fragmentation index M that is based on the share of the ...
Dmitry Sergeevich Vaskin +1 more
doaj +1 more source