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 17 of 17 for “"exact distribution"”.
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Comparing k Population Means with No Assumption about the Variances
… for k=2. We propose a method that uses the exact distribution of the likelihood ratio (test) statistic. The data is used to estimate this exact distribution to obtain an estimated critical value or an estimated p-value.</p>
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ΜΕΓΙΣΤΟ ΜΗΚΟΣ ΡΟΗΣ ΕΠΙΤΥΧΙΩΝ ΚΑΙ ΠΟΛΥΩΝΥΜΑ ΤΥΠΟΥ-FIBONACCI
… OF ORDER K. WE INTRODUCE AND STUDY A NEW DISTRIBUTION, THE BINOMIAL DISTRIBUTION OF ORDER K AND DERIVE THE EXACT DISTRIBUTION OF IT. APPLICATIONS OF THE RANDOM VARIABLES WHICH WE STUDY ARE GIVEN IN RELIABILITY OF CONSECUTIVE-K-OUT-OF-N F SYSTEMS.WE ALSO GIVE THE RELIABILITY OF A …
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A study on improving the performance of control charts under non-normal distributions
… that the monitoring statistic follows a normal distribution. While the normality assumption is invalid in many cases, the traditional 3-sigma limits may become inappropriate. In this thesis, we have raised two approaches to solve the non-normality problem. The first approach is based on the …
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Weak signal identification and inference in penalized model selection
… provide signal's inference method based on the exact distribution of penalized estimator. The finite sample distribution is quite different from its asymptotic counterpart, which can be highly non-normal with a point mass at zero. Numerical studies indicate that the density-based approach works …
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Inference in Ising models by graph neural networks with structural features
… and maximum-a-posteriori (MAP) inference. Exact inference on PGMs is intractable, hence approximation algorithms, such as belief propagation, are proposed for practical applications. Recently Graphical Neural Networks (GNNs) are shown to outperform BP on small-scale loopy graphs. GNN …
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Estimation of the strength of a radioactive source
… rapid so that the usual assumption of a Poisson distribution of counts is not applicable. We distinguish two main cases according as the background radiation is small or large. In the former case the common procedure of simply subtracting off a constant background radiation is adequate. If the …
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Estimating the Hausdorff dimension
… or its estimate, using an occupancy model. The exact distribution of the estimator is also derived. Applications of the theory to various fields are presented. For example, I find that from the point of view of dimension, the logarithms of stock prices behave consistently with the classical …
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Contributions to Profile Monitoring and Multivariate Statistical Process Control
… monitoring and 2) an improved approximate distribution for the T² statistic based on the successive differences covariance matrix estimator. Part 1: Nonlinear Profile Monitoring In an increasing number of cases the quality of a product or process cannot adequately be represented by the …
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Multiagent planning with Bayesian nonparametric asymptotics
… allocation under uncertainty by allowing exact distribution propagation instead of sampling, and provides an analytic solution time/quality tradeoff for system designers. The second contribution is the Dynamic Means algorithm, a novel clustering method based upon Bayesian nonparametrics …
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Development of Monte Carlo models of a gamma-ray nondestructive assay system for nuclear material control and accountability
… in certain scenarios due to the complex distributions and compositions samples can exhibit. Monte Carlo models of a high-purity germanium (HPGe) gamma-ray detector used for assaying plutonium were developed and benchmarked to simulate two difficult measurement scenarios often faced at Los …
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Nonparametric procedures for process control when the control value is not specified
… (CUSUM chart). In designing a control chart, the exact distribution of the observations, e.g. normal distribution, is usually assumed to be known. But, when there is not sufficient information in determining the distribution, nonparametric procedures are appropriate. In such cases, the control …
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Analytic Results for Hopping Models with Excluded Volume Constraint
… by the Brownian vacancy. The probability distributions for its displacement and for the number of steps taken, after n-steps of the vacancy, are derived. Neither is a Gaussian! We also show that the only nontrivial dimension where the walk is recurrent is d=2. As an application, we compute …
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Maximum-likelihood-based confidence regions and hypothesis tests for selected statistical models.
… least squares approach (OLS). However, the exact distribution of the SUR estimator is complex and does not yield easily-formed confidence regions of a coefficient parameter. Therefore, one can apply maximum likelihood (ML) asymptotic-based methods to construct a confidence region. Here, we …
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Haplotype-Based Association Studies: Approaches to Current Challenges
… thesis involves the uncertainty regarding the exact distribution of the likelihood ratio test (LRT) statistic for haplotype-based association tests in which many of the haplotype frequency estimates are zero or very small. By simulating datasets with known haplotype frequencies and comparing …
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Comparison of Exact Unconditional Methods for the Difference of Two Binomial Proportions
Exact tests based upon the difference of two independent binomial proportions are popularly used and are especially suited for studies with small to moderate sample sizes. In the context of testing for superiority and noninferiority, we apply the confidence region p-value method (Berger and Boos, …
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Probabilistic arithmetic automata : applications of a stochastic computational framework in biological sequence analysis
… the computational framework to calculate the exact distribution of the value resulting from those operations. For instance, the PAA framework can be used to compute the expected molecular mass of a peptide resulting from the cleavage reaction of a protease. Moreover, we show that the framework …
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Stochastic Geometry for Vehicular Networks
… of interfering nodes and also the underlying distribution of lines. We carefully handle these constraints using various fundamental distance properties of the PLCP and derive the exact expression for the coverage probability. Third, building further on the above mentioned works, we consider a …