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Sample Spacings with Applications in Multiple-Outlier Models

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Stochastic Orders in Reliability and Risk

Part of the book series: Lecture Notes in Statistics ((LNSP,volume 208))

Abstract

The difference between successive order statistics is denoted as spacing in the literature. They appear in reliability theory, survival analysis, and systems engineering where the times between failures of components of a system correspond with the spacings associated with order statistics. The purpose of this work is to survey the literature about stochastic comparisons of spacings from one and two sequences of order statistics.

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Author information

Authors and Affiliations

  1. Department of Statistics and Operations Research, Universidad Pública de Navarra, 31006, Pamplona, Spain

    Nuria Torrado

  2. Department of Statistics, Universidad Carlos III de Madrid, Campus de Getafe, Madrid, Spain

    Rosa E. Lillo

Authors
  1. Nuria Torrado
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  2. Rosa E. Lillo
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Correspondence to Nuria Torrado .

Editor information

Editors and Affiliations

  1. Dept. Mathematics, Washington State University, Lighty 370, Pullman, 99164, Washington, USA

    Haijun Li

  2. Xiamen University, Xiamen, 361000, China, People's Republic

    Xiaohu Li

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Torrado, N., Lillo, R.E. (2013). Sample Spacings with Applications in Multiple-Outlier Models. In: Li, H., Li, X. (eds) Stochastic Orders in Reliability and Risk. Lecture Notes in Statistics(), vol 208. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6892-9_5

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