Multivariate order statistics via multivariate concomitants
نویسندگان
چکیده
منابع مشابه
Multivariate Dispersive Ordering of Generalized Order Statistics
The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...
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We develop multivariate extensions to two variance reduction techniques { nonlinear control variates for estimating expected values, and concomitants of order statistics for estimating a distribution (including expected values, probabilities, and percentiles). We allow the relationship between Y and the X variables to be nonlinear, and consider two cases { where the relationship is additive, an...
متن کاملMultivariate Dispersive Ordering of Generalized Order Statistics
The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate conditions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivariate dispersive ordering of GOSs from one sample and Khaledi-Kochar multivar...
متن کاملOn Multivariate Likelihood Ratio Ordering among Generalized Order Statistics and their Spacings
The most of the results obtained about stochastic properties of generalized order statistics and their spacings in the literature are based on equal model parameters. In this paper, with less restrictive conditions on the model parameters, we prove some new multivariate likelihood ratio ordering results between two sub-vectors of GOS's as well as two sub-vectors of $p$-spacings based on two con...
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2009
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2008.09.011