Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 60 for “"Central limit theorem"”.
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Central limit theorem for some classes of dynamical systems
… 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 ${1\over\sqrt n}.$
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Some Limit Theorems (Empirical Processes)
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 …
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Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network
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.
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Limit theorems for a one-dimensional system with random switchings
… 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.
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Arithmetic and dynamical systems
… one a generalisation 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 …
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Efficient Gaussian Random Number Generators in HLS4ML
… 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 …
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Modelo estatístico para cálculo do Fator de Segurança Global de Estaqueamentos
… 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.
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Statistical distributions in the thermal model
… 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 …
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Entropy in Data Compression, Additive Combinatorics and Probability
… 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 …
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Limit Theorems for L-functions in Analytic Number Theory
… 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 …
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Invariance Principles for Random Processes Generated by Extrema and Partial Sums of Random Variables
… 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.
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Infinitesimal Probability Theory with Amalgamation
… 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 …
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GENERATION, MECHANICAL AND STATISTICAL ANALYSIS, AND FEM SIMULATION OF FRACTURE OF REPEATABLE RANDOM ROUGH SURFACES
… 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 …
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Pennysampling: Synopses, Applications, and Extensions
… classical methods of estimation in which the Central Limit Theorem is used, and also newer methods based on the Hypergeometric distribution. It studies the efficiency of "pennysampling" (Edwards et al., submitted) wherein the sampling unit is the penny. It also extends the idea of …
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Essays in Problems in Sequential Decisions and Large-Scale Randomized Algorithms
… observations. In the relaxed case, we find a central limit theorem (CLT) with a different normalization than Renyi's classical CLT, and in the constricted case we find convergence in distribution to an unbounded random variable. In the second part of this dissertation, we put forward two …
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LIMIT THEOREMS FOR FUNCTIONS OF MARGINAL QUANTILES AND ITS APPLICATION.
… the broken sample formulation to study the limit theorem for functions of marginal quantiles.We mainly studied how to explore multivariate distribution using the joint distribution of marginal quantiles. Limit theory for the mean of functions of order statistics is presented. The result …
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Energy loss and theoretical uncertainties in small quark-gluon plasmas
… uncertainties in the energy loss model is a central theme of this thesis. In the same vein of uncertainty quantification, we investigate the common application of the central limit theorem to approximate the elastic energy loss as a Gaussian distribution. We find that all our results are …
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Convex hulls of planar random walks
… asymptotics and establish distributional limits. The results apply to random walks both with drift (the mean of random walk increments) and with no drift under mild moments assumptions on the increments. Assuming increments of the random walk have finite second moment and non-zero mean, …
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Portfolio risk minimization under departures from normality
… from empirical process theory, we derive a central limit theorem for the shortfall portfolio estimator. We warn about the statistical pitfalls of portfolio selection based on the minimization of rare events, which happens to be the case when shortfall is tuned to focus on extreme tail risk. …
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New methods for econometric inference
… Victor Chernozhukov and Kengo Kato), we derive a central limit theorem for the maximum of a sum of high dimensional random vectors. Specifically, we establish conditions under which the distribution of the maximum is approximated by that of the maximum of a sum of the Gaussian random vectors with …
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