Results 61 to 70 of about 6,587 (215)
Minimal spanning trees and Stein’s method [PDF]
The Annals of Applied Probability, 2017 Kesten and Lee [36] proved that the total length of a minimal spanning tree on certain random point configurations in $\mathbb{R}^d$ satisfies a central limit theorem. They also raised the question: how to make these results quantitative? However, techniques employed to tackle the same problem for other functionals studied in geometric probability do ...
Chatterjee, Sourav, Sen, Sanchayan
openaire +3 more sources
Stein’s method for conditional central limit theorem
The Annals of Probability, 2023 50 pages. Assumption II was changed, the multivariate result was improved, overall presentation was revised, final version.
Dey, Partha S., Terlov, Grigory
openaire +2 more sources
American Journal of Medical Genetics Part B: Neuropsychiatric Genetics, EarlyView.ABSTRACT In epidemiological studies, obsessive‐compulsive disorder (OCD) is robustly associated with increased risk of cardiometabolic disorders, including cardiovascular diseases, type 2 diabetes, and obesity. However, the mechanisms behind these associations are unclear. We conducted genetic correlation analyses to explore shared genetic etiology and
Robyn E. Wootton +217 more
wiley +1 more source
An improved bound for negative binomial approximation with -functions
AKCE International Journal of Graphs and Combinatorics, 2017 In this article, we use Stein’s method together with -functions to give an improved bound for the total variation distance between the distribution of a non-negative integer-valued random variable and the negative binomial distribution with parameters ...
K. Teerapabolarn
doaj +1 more source
A note on the exchangeability condition in Stein's method
, 2008 We show by a surprisingly simple argument that the exchangeability condition, which is key to the exchangeable pair approach in Stein's method for distributional approximation, can be omitted in many standard settings.
Adrian Röllin +8 more
core +2 more sources
Aziridination of a Single Carbon Atom in Alkenes via Energy Transfer Catalysis
Angewandte Chemie International Edition, EarlyView.Contrary to traditional alkene aziridination via (formal) nitrene transfer, we herein report a strategy that achieves intermolecular aziridination of a single alkene carbon atom and installs an additional group at the other. Enabled by metal‐free energy transfer (EnT) catalysis, alkenyl boronates and silanes are transformed into reactive intermediates ...
Fritz Paulus +7 more
wiley +1 more source
IEEE Access, 2019 This paper proposes a heuristic multi-parameter optimization method for image and video reconstruction. The method is embedded in an evolutionary computation framework in which a set of parameters are encoded into chromosomes of an individual, and a ...
Zhi Dou, Lin Sun, Weiping Ding
doaj +1 more source
Orthogonal Polynomials in Stein's Method
Journal of Mathematical Analysis and Applications, 2001 The paper systematically develops a relationship between the classical families of orthogonal polynomials and Stein's method as applied to the distributions in the Pearson and Ord families, that was also discussed by \textit{P. Diaconis} and \textit{S. Zabell} [Stat. Sci. 6, No. 3, 284-302 (1991)].
openaire +1 more source
Broadening the semiaquatic scene: Quantification of long bone microanatomy across pinnipeds
The Anatomical Record, EarlyView.Abstract Investigations of bone microanatomy are commonly used to explore lifestyle strategies in vertebrates. While distinct microanatomical limb bone features have been established for exclusively aquatic and terrestrial lifestyles, identifying clear patterns for the semiaquatic lifestyle remains more challenging.
Apolline Alfsen +10 more
wiley +1 more source
A local limit theorem assuming finite second moments via Stein’s method
Arab Journal of Basic and Applied SciencesLet [Formula: see text] be independent but not necessarily identically distributed integer-valued random variables and let [Formula: see text] Estimation of the point probabilities [Formula: see text] is a common problem that occurs in many applied ...
Graeme Auld, Kritsana Neammanee
doaj +1 more source