A note on probability weighted moment inequalities for reliability measures.
Oluyede, Broderick O. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Oluyede, Broderick O. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Oluyede, B.O. (2002)
Journal of Inequalities and Applications [electronic only]
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Chanchal Kundu (2014)
Applications of Mathematics
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In survival studies and life testing, the data are generally truncated. Recently, authors have studied a weighted version of Kerridge inaccuracy measure for truncated distributions. In the present paper we consider weighted residual and weighted past inaccuracy measure and study various aspects of their bounds. Characterizations of several important continuous distributions are provided based on weighted residual (past) inaccuracy measure.
Ondřej Vencálek (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the present paper we investigate performance of the -depth-nearest classifier. This classifier, proposed recently by Vencálek, uses the concept of data depth to improve the classification method known as the -nearest neighbour. Simulation study which is presented here deals with the two-class classification problem in which the considered distributions belong to the family of skewed normal distributions.
Kanchan Jain, Neetu Singla, Rameshwar D. Gupta (2014)
Discussiones Mathematicae Probability and Statistics
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Weighted Gamma (WG), a weighted version of Gamma distribution, is introduced. The hazard function is increasing or upside-down bathtub depending upon the values of the parameters. This distribution can be obtained as a hidden upper truncation model. The expressions for the moment generating function and the moments are given. The non-linear equations for finding maximum likelihood estimators (MLEs) of parameters are provided and MLEs have been computed through simulations and also for...
Martial Guillaud, Jean-Marc Chassery (1991)
Statistique et analyse des données
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Ondřej Vencálek (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Data depth is an important concept of nonparametric approach to multivariate data analysis. The main aim of the paper is to review possible applications of the data depth, including outlier detection, robust and affine-equivariant estimates of location, rank tests for multivariate scale difference, control charts for multivariate processes, and depth-based classifiers solving discrimination problem.
Magdalena Skolimowska, Jarosław Bartoszewicz (2006)
Applicationes Mathematicae
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We use weighted distributions with a weight function being a ratio of two densities to obtain some results of interest concerning life and residual life distributions. Our theorems are corollaries from results of Jain et al. (1989) and Bartoszewicz and Skolimowska (2006).