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Full-Text Articles in Education
On Moment Inequalities And Stochastic Ordering For Weighted Reliability Measures, Broderick O. Oluyede, Mekki Terbeche
On Moment Inequalities And Stochastic Ordering For Weighted Reliability Measures, Broderick O. Oluyede, Mekki Terbeche
Department of Mathematical Sciences Faculty Publications
We obtain stochastic inequalities, error bounds, and classification probability for a general class of distributions. We introduce the notion of variability ordering via the probability functional and comparisons made for the weighted and the original distributions. We present moment inequalities, comparisons, and applications.
On Stochastic Comparisons Of Energy Functions With Applications, Broderick O. Oluyede
On Stochastic Comparisons Of Energy Functions With Applications, Broderick O. Oluyede
Department of Mathematical Sciences Faculty Publications
We develop simple methods for the stochastic comparisons of informational energy functions. We introduce modified informational energy functions and uncertainty of parameter functions are introduced for models with realistic parameter spaces. We present inequalities, comparisons, and applications including test procedures for testing the equality of informational energy functions. Some illustrative examples are also presented.