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Showing 1 to 20 of 108 for “"order statistics"”.
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On the Expectations of Certain Order Statistics
<p> This thesis deals with order statistics and the asymptotic distributions of certain functions of the first and second quartiles of a sample drawn at random from a bivariate population, whose distribution function is specified by its truncated bivariate Edgeworth Series.</p>
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Order statistics for a discrete parent distribution
This paper provides a systematic study of order statistics drawn from discrete parent distributions. New procedures are followed for the derivation of the distribution of the r<sup>th</sup> order statistic x<sub>(r)</sub> and of the joint distribution of x<sub>(r)</sub>, x<sub>(s)</sub> (s > r), …
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Point estimation with sequential order statistics from exponential distributions
The model of sequential order statistics is motivated by the structure of a k-out-of-n system. Such a system consists of n components and is intact, if at least k or more components work. The lifetime of a k-out-of-n system is described by the (n-k+1)-th ordinary order statistic. In modeling a …
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Blind separation of noisy multivariate data using second-order statistics
A second-order method for blind source separation of noisy instantaneous linear mixtures is presented and analyzed for the case where the signal order k and noise covariance GG-H are unknown. Only a data set X of dimension n > k and of sample size m is observed, where X = AP + GW. The quality of …
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Estimation of the population mean using two extremes in order statistics
… statistical inference, the sampling theory of order statistics has been playing a fundamental role because of that properties of the range and the average of the smallest and largest order statistics are useful for estimate the population parameters of both large and small samples; The …
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Parameter Identification of Nonlinear Systems Using Perturbation Methods and Higher-Order Statistics
… the method of multiple scales and higher-order statistics to efficiently and accurately model nonlinear systems. A theoretical background for the method of multiple scales and higher-order statistics is given. Validation of the procedure is performed through applying it to numerical …
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Multivariate ageing and dependence properties of generalized order statistics and related stochastic models
… of greater age with respect to the stochastic order. Positive dependence describes the tendency of components of a random vector to assume concordant values. Positive dependence notions, like association or the MTP2 notion, measure this tendency. In this thesis, four stochastic models for life …
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A study of the lower moments of order statistics of discrete uniform distributions
Throughout this thesis, we will talk about samples taken with replacement from the discrete uniform population f(x) -1/N where x = l, 2, 3,..., N. All samples will be of size n except in the case of the median, where the sample size will be 2n + l, an odd number.
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A nonlinear statistical MESFET model using low order statistics of equivalent circuit model parameter sets
… well. The model consists of capturing low order statistics (means, variances, and correlations) of equivalent circuit model parameter sets and using these to produce a continuous distribution of devices representative of those seen from manufacturing. Complete nonlinear and statistical …
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The curve through the expected values of order statistics with special reference to problems in nonparametric tests of hypotheses
… and especially in the theory of nonparametric statistics. A new expression for this value will be obtained tor any underlying density f(x) but emphasis will be placed on normal scores. A finite series representation, the individual terms of which are easy to calculate, will be obtained for the …
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Markovian simple counting processes and models of ordered Random variables
… structure of pure birth processes and models of ordered random variables. We prove that the jump times of pure birth processes coincide (in distribution) with Pfeifers record values (record values where the distribution of the underlying random variables may change after each record) and …
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Generalized Classes of Distributions with Applications to Income and Lifetime Data
… Bonferroni and Lorenz curves, distribution of order statistics, moments of order statistics and entropies are presented. Estimation of parameters of these distributions via maximum likelihood technique, Fisher information and asymptotic confidence intervals are given. Maximum likelihood …
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Appearance based object recognition using independent component analysis
… in which features based on only second order statistics are not sufficient. To take into account higher order statistics, Independent Component Analysis (ICA) has been proposed. This thesis presents results on appearance based 3-dimensional object recognition accomplished by using ICA. …
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Fisher Information in Censored Samples from Univariate and Bivariate Populations and Their Applications
… folded distributions in terms of FI in a single order statistic and in Type-II censored samples for symmetric distributions. We exploit this connection to simplify the efforts in finding the FI in order statistics and in Type-II censored samples from an unfolded distribution that is symmetric …
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Speech perception in a sparse domain
Environmental statistics are known to be important factors shaping our perceptual system. The visual and auditory systems have evolved to be efficient for processing natural images or speech. The common characteristics between natural images and speech are that they are both highly structured, …
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Nonequilibrium and transport in proximity of superconductors
… discussed, and a device for characterizing the statistics and spectrum of the fluctuations is proposed. This mesoscopic on-chip detector is based on a superconducting Josephson junction in the Coulomb blockade regime. It is expected to bypass problems in conventional measurements of higher-order …
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Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data
… quantile function, entropy and distribution of order statistics are derived. Method of maximum likelihood is used to estimate the parameters of the new distribution. Finally, a real data example is discussed to illustrate the usefulness and applicability of the distribution.</p>
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