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Showing 1 to 20 of 75 for “"Central Limit"”.

  1. Algebraic central limit theorems in noncommutative probability

    Alahmade, AymanUniversity College Cork2022

    … sufficient conditions for the existence of central limit laws. In contrast to classical probability theory, there exist many different central limit laws for exchangeable sequences of noncommutative random variables and still little is known about their concrete form. This thesis goes one …

    cork Repository record

  2. Central limit theorem for some classes of dynamical systems

    Rahman, Mohammad Mahbubur1997

    … operator of T, we give a proof of the Central Limit Theorem for$$\left({1\over n}\right)\sum\sbsp{i=0}{n-1}f\circ T\sp{i},$$where f is a function of bounded variation. It is also shown that the speed of covergence in the Central Limit Theorem is of the order ${1\over\sqrt n}.$

    concordia Repository record

  3. Central limit theorems for D[0,1]-valued random variables

    Hahn, Marjorie GreeneMassachusetts Institute of Technology1975

    Thesis. 1975. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.

    mit Repository record

  4. LAWS OF LARGE NUMBERS AND CENTRAL LIMIT THEOREMS FOR RANDOM GEOMETRIC MEASURES. A COMPUTATIONAL APPROACH

    I. MatuontoUniversità degli Studi di Milano2010

    … produce computational experiments related to a Central Limit Theorem (CLT) for random measures proved by Penrose in [4]. In particular we analyze some random measures associated with a segment process, a Voronoi tessellation and a Johnson-Mehl tessellation constructed on an underlying …

    milano Repository record

  5. Some Limit Theorems (Empirical Processes)

    Lacey, Michael ThoreauUniversity of Illinois at Urbana-Champaign2014

    We establish a central limit theorem and bounded and compact laws of the iterated logarithm for partial sum processes indexed by classes of functions. For the central limit theorem, we assume an envelope condition and a majorizing measure condition more general than the usual metric entropy with …

    uiuc Repository record

  6. Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network

    Steichen, Jennifer L.University of Illinois at Urbana-Champaign2015

    We also prove a functional central limit theorem for Markov additive processes. This theorem is used to produce the heavy traffic limit theorem for the queue length process in the subcritical case.

    uiuc Repository record

  7. On Variable Bandwidth Kernel Density And Regression Estimation

    Nakarmi, Janet2019

    … density estimator. Furthermore, we present the central limit theorem of the true variable bandwidth kernel density estimator. We also propose a new variable bandwidth kernel regression estimator and estimate the bias and propose the central limit theorems for its ideal and true versions. For the …

    mississippi Repository record

  8. Limit theorems for a one-dimensional system with random switchings

    Hurth, TobiasGeorgia Institute of Technology2010

    … invariant density explicitly. We study the limiting behavior of the invariant density as the switching rate approaches zero and infinity and derive analogues of classical probabilistic results such as the central limit theorem and large deviations principle.

    gatech Repository record

  9. Two-Dimensional Discrete Gaussian Model at High Temperature

    Park, JiwoonUniversity of Cambridge2023

    … in the delocalised phase, thereby obtaining central limit theorems in long-distance limit—in physics literature, the renormalisation group is a standard apparatus used to study scaling phenomena, in particular computing critical exponents and proving scaling limits and universality. We study …

    cambridge Repository record

  10. Transport methods and universality for [beta]-ensembles

    Bekerman, FlorentMassachusetts Institute of Technology2018

    … regimes. In a different direction, we also prove Central Limit Theorems for the linear statistics of [beta]-ensembles at the macroscopic and mesoscopic scales.

    mit Repository record

  11. Arithmetic and dynamical systems

    Royals, RobertUniversity of East Anglia2015

    … of the Khintchine{Groshev theorem, another a central limit theorem. We also prove a P�olya{Carlson dichotomy result for a large class of adelicly perturbed rational functions. In particular we prove that for a finite set of primes S that the power series f(z) generated by the Fibonacci series …

    east-anglia Repository record

  12. Efficient Gaussian Random Number Generators in HLS4ML

    Mattam, Atharva2025

    … space sampling, but traditional methods like the Central Limit Theorem (CLT) are resource-intensive. The Multihat method combines combinational logic and CLT to achieve high tail accuracy with reduced hardware costs. This thesis discusses the Multihat method implemented using High-Level Synthesis …

    washington Repository record

  13. Modelo estatístico para cálculo do Fator de Segurança Global de Estaqueamentos

    Joia, Luiz AntonioUniversidade Federal do Rio de Janeiro1981

    … and the Monte-Carlo Simulation combined with the Central Limit Theorem of Statistics, for calculation of the global safety factor. It's showed a practical example and the computer programs used for the simulation. This method is usable in rigid pile-head slabs, and in foundations set on rocks.

    brazil-uerj Repository record

  14. Statistical distributions in the thermal model

    Hauer, MichaelDepartment of Physics2006

    … charges as well as quantum statistics. The central limit theorem and its related expansions provide a flexible mathematical tool for calculation of statistical fluctuations, and allows for application of the canonical ensemble to high energy particle collision data. A first analysis of the …

    cape-town Repository record

  15. Entropy in Data Compression, Additive Combinatorics and Probability

    Gavalakis, LamprosUniversity of Cambridge2022

    … considered. The finite-blocklength fundamental limits of the best achievable performance are defined, in two different versions of the problem: Reference-based compression, when a single side information string is used repeatedly in compressing different source messages, and pair-based …

    cambridge Repository record

  16. Limit Theorems for L-functions in Analytic Number Theory

    Roberts, AsherThe Graduate School and University Center of The City University of New York2024

    … Radziwill and Soundararajan to prove Selberg’s central limit theorem for the real part of the logarithm of the Riemann zeta function on the critical line in the multivariate case. This gives an alternate proof of a result of Bourgade. An upshot of the method is to determine a rate of convergence …

    cuny-grad Repository record

  17. Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables

    Dabrowski, Andre RobertUniversity of Illinois at Urbana-Champaign2014

    … in that Strassen's result does not yield the central limit theorem. By a similar procedure, we also obtain a strong invariance principle for point processes in the plane.

    uiuc Repository record

  18. Infinitesimal Probability Theory with Amalgamation

    Tseng, Pei-Lun2021

    … the corresponding operator-valued infinitesimal Central Limit Theorem. We establish formulas to obtain the operator-valued infinitesimal free (respectively Boolean, monotone) additive convolution. Furthermore, for the free case, we also provide the formula for the operator-valued infinitesimal …

    queens Repository record

  19. Approximation of Quantiles of Rank Test Statistics Using Almost Sure Limit Theorems

    Ledbetter, Mark2019

    … is derived from an almost sure version of the central limit theorem using the results of Berkes and Csaki (2001), and it estimates the quantiles of a test statistic using only the data. To date, LQE has been used in only a few applications. We extend the use of LQE to three widely analyzed …

    odu Repository record

  20. GENERATION, MECHANICAL AND STATISTICAL ANALYSIS, AND FEM SIMULATION OF FRACTURE OF REPEATABLE RANDOM ROUGH SURFACES

    Medina, Hector2017

    … generate surface roughness, and follow the Central Limit Theorem prediction for surface topology. This study couples experimental and statistical theory, and FEM to extend knowledge of life of materials from initial service surface conditions through surface damage accumulation. Statistical …

    vcu Repository record

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