Some inequalities and bounds for weighted reliability measures.
Oluyede, Broderick O. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Oluyede, Broderick O. (2002)
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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Oluyede, Broderick O., Terbeche, Mekki (2001)
International Journal of Mathematics and Mathematical Sciences
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Osama Mohareb Khaled, Haroon Mohamed Barakat, Nourhan Khalil Rakha (2022)
Kybernetika
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We discuss three estimation methods: the method of moments, probability weighted moments, and L-moments for the scale parameter and the extreme value index in the generalized Pareto distribution under linear normalization. Moreover, we adapt these methods to use for the generalized Pareto distribution under power and exponential normalizations. A simulation study is conducted to compare the three methods on the three models and determine which is the best, which turned out to be the...
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.
Daniel Hlubinka, Lukáš Kotík, Ondřej Vencálek (2010)
Kybernetika
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Generalised halfspace depth function is proposed. Basic properties of this depth function including the strong consistency are studied. We show, on several examples that our depth function may be considered to be more appropriate for nonsymetric distributions or for mixtures of distributions.
Furman, Edward, Zitikis, Ricardas (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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).