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- W4254410753 endingPage "12" @default.
- W4254410753 startingPage "1" @default.
- W4254410753 abstract "Order statistics and record values appear in many statistical applications and are widely used in statistical modeling and inference. Both models describe random variables arranged in ascending order of magnitude. Generalized order statistics provide a unified approach to a variety of models of ordered random variables with different interpretations, such as common order statistics, sequential order statistics, progressively type II censored order statistics, record values, kth record values, and Pfeifer's records. These models can be effectively applied, for example, in reliability theory. An order statistic represents the life length of some k-out-of- n system, which is an important technical structure. For this application, sequential order statistics serve to describe influences of failures on the life-length distributions of the remaining components. The distribution theory of generalized order statistics is established along the lines of common order statistics. By this, we find that well-known properties of order statistics and record values are also valid for generalized order statistics. The results on generalized order statistics concern their distribution theory, and, for example, relations and bounds for moments, structural properties, characterizations of distributions, preservation of aging properties and stochastic orderings, extreme value theory, and statistical inference with respect to both, model and distribution parameters." @default.
- W4254410753 created "2022-05-12" @default.
- W4254410753 creator A5032377094 @default.
- W4254410753 date "2016-08-05" @default.
- W4254410753 modified "2023-10-02" @default.
- W4254410753 title "Generalized Order Statistics" @default.
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