Asymptotic efficiency of two nonparametric competitors of Wilcoxon's two sample test
Asymptotic efficiency of two nonparametric competitors of Mann-Whitney-Wilcoxon U test
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Asymptotic efficiency of two nonparametric competitors of Mann-Whitney-Wilcoxon U test
Nonparametric extreme value statistics for constant signal detection in additive noise
Nonparametric techniques for probability distribution, probability density, and hazard function estimates for life quality
Nonparametric procedure based on order statistics for solving problems in decision making
Nonparametric method for subset selection containing population with largest alpha quantile, discussing population sampling
Nonparametric discrimination among distributions on Euclidean space with continuous distribution functions by tolerance regions method, emphasizing errors probability distribution control
Nonparametric detection with dependent observation, discussing asymptotic relative efficiency of Mann-Whitney detector
Summary data on developing nonparametric methodology in statistical ranking and selection procedures
Nonparametric ranking procedures /based on order statistics/ guaranteeing preassigned probability for selection from random samples populations as good as control
Application of nonparametric techniques for performing statistical discrimination
Dependence effects on nonparametric mixed statistical tests
Research and development of nonparametric methodology in statistical ranking and selection procedures
Nonparametric estimation of mean and variance in random sampling with observations of varying values
Nonparametric Bayes risk estimation for measurement classification, using nearest neighbor error rate and Parzen probability density function estimators
A sequential nonparametric pattern classification procedure is presented. The method presented is an estimated version of the Wald sequential probability ratio test (SPRT). This method utilizes density function estimates, and the density estimate used is discussed, including a proof of convergence in probability of the estimate to the true density function. The classification procedure proposed makes use of the theory of order statistics, and estimates of the probabilities of misclassification are given. The procedure was tested on discriminating between two classes of Gaussian samples and on discriminating between two kinds of electroencephalogram (EEG) responses.
Two classes of nonparametric density estimators, the histogram and the kernel estimator, both require a choice of smoothing parameter, or 'window width'. The optimum choice of this parameter is in general very difficult. An upper bound to the choices that depends only on the standard deviation of the distribution is described.
A relatively simple nonparametric method for the identification of a class of close-coupled nonlinear multi-degree-of-freedom systems has been developed. The identification of arbitrary memoryless nonlinearities is possible through knowledge of the accelerations, velocities, and displacements of the various masses. These quantities are used to obtain the surfaces of the restoring forces as functions of the intermass displacements and velocities. The method was demonstrated by application to a four-degree-of-freedom system to identify the restoring forces. It is found that the identification results are relatively insensitive to measurement noise.
A nonparametric identification technique for the identification of close coupled dynamic systems with arbitrary memoryless nonlinearities is presented. The method utilizes noisy recorded data (acceleration, velocity and displacement) to identify the restoring forces in the system. The masses in the system are assumed to be known (or fairly well estimated from the design drawings). The restoring forces are expanded in a series of orthogonal polnomials and the coefficients of these polynomial expansions are obtained by using least square fit method. A particularly simple and computationally efficient method is proposed for dealing with separable restoring forces. The identified results are found to be relatively insensitive to measurement noise. An analysis of the effects of measurement noise on the quality of the estimates is given. The computations are shown to be relatively quick (when compared say to the Wiener identification method) and the core storage required relatively small, making the method suitable for onboard identification of large space structures.