971 resultados para Measures of Noncompactness


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The present study focuses attention on defining certain measures of income inequality for the truncated distributions and characterization of probability distributions using the functional form of these measures, extension of some measures of inequality and stability to higher dimensions, characterization of bivariate models using the above concepts and estimation of some measures of inequality using the Bayesian techniques. The thesis defines certain measures of income inequality for the truncated distributions and studies the effect of truncation upon these measures. An important measure used in Reliability theory, to measure the stability of the component is the residual entropy function. This concept can advantageously used as a measure of inequality of truncated distributions. The geometric mean comes up as handy tool in the measurement of income inequality. The geometric vitality function being the geometric mean of the truncated random variable can be advantageously utilized to measure inequality of the truncated distributions. The study includes problem of estimation of the Lorenz curve, Gini-index and variance of logarithms for the Pareto distribution using Bayesian techniques.

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Department of Statistics, Cochin University of Science and Technology

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A procedure based on quantum molecular similarity measures (QMSM) has been used to compare electron densities obtained from conventional ab initio and density functional methodologies at their respective optimized geometries. This method has been applied to a series of small molecules which have experimentally known properties and molecular bonds of diverse degrees of ionicity and covalency. Results show that in most cases the electron densities obtained from density functional methodologies are of a similar quality than post-Hartree-Fock generalized densities. For molecules where Hartree-Fock methodology yields erroneous results, the density functional methodology is shown to yield usually more accurate densities than those provided by the second order Møller-Plesset perturbation theory

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This study examined hearing impaired listeners’ subjective perceptions of listening environments through a listening questionnaire and compared these results to objective measures mimicked by the questionnaire in the datalogging device SAM (Sound Activity Meter). Results indicate audiologists should not rely on patient reports of “typical” listening environments for hearing aid selection as significant discrepancies were present between several of the subjective and objective measures.

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Inconsistencies exist between traditional objective measures such as speech recognition and localization, and subjective reports of bimodal benefit. The purpose of this study was to expand the set of objective measures of bimodal benefit to include non-traditional listening tests, and to examine possible correlations between objective measures of auditory perception and subjective satisfaction reports.