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Showing 1 to 20 of 47 for “"Limit theorems"”.

  1. 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 …

    uiuc Repository record for Some Limit Theorems (Empirical Processes) (opens in a new tab)

  2. Limit Theorems for Random Billiard Models

    … gas diffusion model, a series of probabilistic limit theorems, allow us to express transport characteristics such as mean exit times of the gas from the channel in terms of characteristics of the channel walls. Preliminary results for the heat engine model present some beginning steps in the …

    wustl Repository record for Limit Theorems for Random Billiard Models (opens in a new tab)

  3. Algebraic central limit theorems in noncommutative probability

    … 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 step …

    cork Repository record for Algebraic central limit theorems in noncommutative probability (opens in a new tab)

  4. Limit Theorems for Weakly Dependent Random Vectors

    In Chapter I we improve upon results on the almost sure approximation of the empirical process of weakly dependent random vectors, recently obtained by Berkes and Philipp and Philipp and Pinzur. For strongly mixing sequences we relax the bounds on the mixing rates, and for absolutely regular …

    uiuc Repository record for Limit Theorems for Weakly Dependent Random Vectors (opens in a new tab)

  5. Limit theorems for H-variation of Gaussian processes /

    … main problem of the dissertation is finding the limiting distribution of these statistics, the speed of convergence to the limit law and an proving invariance principle for the partial sum process related to H-variation.

    vilnius Repository record for Limit theorems for H-variation of Gaussian processes / (opens in a new tab)

  6. Large Deviation Local Limit Theorems for Ratio Statistics

    <p>Let {T„, n > 1} be an arbitrary sequence of non-lattice random variables and {S<sub>n</sub>, n > 1} be another sequence of positive non-lattice random variables. Let the two sequences be independent. Let Ø<sub>1n</sub> and Ø<sub>2n</sub> be the moment genereating functions of {Tn, n > 1} and { …

    odu Repository record for Large Deviation Local Limit Theorems for Ratio Statistics (opens in a new tab)

  7. Limit Theorems for Multiply-Indexed Mixing Random Variables

    Made available in DSpace on 2014-12-14T13:09:27Z (GMT). No. of bitstreams: 1 7606887.pdf: 1820583 bytes, checksum: 7d2a63f984f7bcd4dd2258940251690a (MD5) Previous issue date: 1975

    uiuc Repository record for Limit Theorems for Multiply-Indexed Mixing Random Variables (opens in a new tab)

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

    … 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 in the …

    cuny-grad Repository record for Limit Theorems for L-functions in Analytic Number Theory (opens in a new tab)

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

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

    mit Repository record for Central limit theorems for D[0,1]-valued random variables (opens in a new tab)

  10. 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.

    gatech Repository record for Limit theorems for a one-dimensional system with random switchings (opens in a new tab)

  11. 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 …

    nus Repository record for LIMIT THEOREMS FOR FUNCTIONS OF MARGINAL QUANTILES AND ITS APPLICATION. (opens in a new tab)

  12. 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.

    uiuc Repository record for Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network (opens in a new tab)

  13. Limit Theorems for Processes and Stopping Rules in Adaptive Sequential Estimation

    … In the course of proving this, results about the limiting distribution of a closely related stochastic process and of ${\rm n\sp{1/2}\lbrack S\sbsp{n}{2}(\\alpha\sb{n}})-\sigma\sp2(\alpha\*)$) are derived. These results are of independent interest.

    uiuc Repository record for Limit Theorems for Processes and Stopping Rules in Adaptive Sequential Estimation (opens in a new tab)

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

    … 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 for Approximation of Quantiles of Rank Test Statistics Using Almost Sure Limit Theorems (opens in a new tab)

  15. Conditional limit theorems for multitype branching processes and illustration in epidemiological risk analysis

    … the multitype framework and for θ>0, that this limit exists and is non-degenerate. This reflects a stationary behavior for the dynamics of the population conditioned on non-extinction, and provides a generalization of the so-called Yaglom limit, corresponding to the case θ=0. In a second step we …

    potsdam-diss Repository record for Conditional limit theorems for multitype branching processes and illustration in epidemiological risk analysis (opens in a new tab)

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

    … 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 2-dimensional …

    milano Repository record for LAWS OF LARGE NUMBERS AND CENTRAL LIMIT THEOREMS FOR RANDOM GEOMETRIC MEASURES. A COMPUTATIONAL APPROACH (opens in a new tab)

  17. Applications of Stein's method and large deviations principle's in mean-field O(N) models

    … graph in the mean-field (infinite-vertex) limit. Using theory of large deviations and Stein's method, in particular, Cramér and Sanov-type results, we present a number of results coming from the limit theorems with rates of convergence, and phase transition behavior for classical XY model. …

    uiuc Repository record for Applications of Stein's method and large deviations principle's in mean-field O(N) models (opens in a new tab)

  18. Topics In Probabilistic Combinatorics

    … 1 provides basic definitions, lemmas, and theorems from graph theory, asymptotic analysis, and probability which will be used throughout the paper. Chapter 2 introduces the independent domination number. It is then shown that in the random graph model G(n,p) with probability tending to one, …

    siu-theses Repository record for Topics In Probabilistic Combinatorics (opens in a new tab)

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