Results 61 to 70 of about 30,884 (295)
Martingale Central Limit Theorems
The Annals of Mathematical Statistics, 1971 The classical Lindeberg-Feller CLT for sums of independent random variables (rv's) provides more than the convergence in distribution of the sum to a normal law. The independence of summands also guarantees the weak convergence of all finite dimensional distributions of an a.e.
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A note on Doeblin’s central limit theorem [PDF]
Proceedings of the American Mathematical Society, 1957 Consider a Markov chain with a countable infinity of states (1, 2, * * * ) forming a single positive recurrent class, so that all the mean recurrence-times mjj are finite. Let f( ) be any real-valued function with the positive integers as domain, and if Xm denotes the state of the system at the mth epoch, let S, = ZM=of(Xm).
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Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
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Central Limit Theorem by moments
Statistics & Probability Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Central limit theorem for a class of SPDEs [PDF]
Journal of Applied Probability, 2015 In this paper we establish the central limit theorem for a class of stochastic partial differential equations and as an application derive this theorem for two widely studied population models: super-Brownian motion and the Fleming-Viot process.
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
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A central limit theorem for operators
Journal of Functional Analysis, 2016 We prove an analogue of the Central Limit Theorem for operators. For every operator $K$ defined on $\mathbb{C}[x]$ we construct a sequence of operators $K_N$ defined on $\mathbb{C}[x_1,...,x_N]$ and demonstrate that, under certain orthogonality conditions, this sequence converges in a weak sense to an unique operator $\mathcal{C}$.
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On Determination Method for Resolution of Secondary Electron Images in Scanning Electron Microscopy
Advanced Science, EarlyView.An idealized SEM, termed Rayleigh's microscope, is constructed by Monte Carlo simulation to represent imaging conditions that just satisfy the Rayleigh criterion. Based on this physically defined model, sharpness–resolution conversion curves are established and combined with the Rose criterion, enabling automated resolution evaluation from practical ...
Tongfang Yang, Yanbo Zou, Zejun Ding
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Simulating the Central Limit Theorem
The Stata Journal: Promoting communications on statistics and Stata, 2018 Understanding the central limit theorem is crucial for comprehending parametric inferential statistics. Despite this, undergraduate and graduate students alike often struggle with grasping how the theorem works and why researchers rely on its properties to draw inferences from a single unbiased random sample.
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Advanced Science, EarlyView.A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park +11 more
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