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Some Preservation Results of Location Independent Riskier Order

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Knowledge Engineering and Management

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 123))

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Abstract

The preservations of location independent riskier order under certain monotone transformations are investigated. It is also showed that location independent riskier order can preserved formation of order statistics.

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References

  1. Barlow, R., Proschan, F.: Statistical Theory of Reliability and Life Testing, Probability Model. Holt, Rinehart and Winnston, New York (1981)

    Google Scholar 

  2. Fagiouli, E., Pellerey, F., Shaked, M.: A characterization of dilation order and their applications. Statistical Papers 40, 393–406 (1999)

    Article  MathSciNet  Google Scholar 

  3. Jewitt, I.: Choosing between risky prospects: The characterization of comparative statics results, and location independent risk. Management Science 35, 60–70 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  4. Li, K.S., Shaked, M.: The total time on test transform and the excess wealth stochastic orders of distribution. Advance in Probability 34, 826–845 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  5. Landsberger, M., Meilijson, I.: The generating process and an extension of Jewitt’s location independent risk concept. Management Science 40, 662–669 (1994)

    Article  MATH  Google Scholar 

  6. Shaked, M., Shanthikumar, J.: Stochastic Orders and their Applications. Academic Press, Boston (1994)

    MATH  Google Scholar 

  7. Shaked, M., Shanthikumar, J.: Two variable orders. Probability in Engineering and Informational Science 12, 1–23 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  8. Scarini, M.: Comparing risk and risk aversion. In: Shaked, M., Shanthikumar, J. (eds.) Stochastic Orders and their Applications, pp. 351–378. Academic Press, New York (1994)

    Google Scholar 

  9. Hu, T., Chen, J., Yao, J.: Preservation of the location independent risk order under convolution. Insurance: Mathematics and Economics 38, 406–412 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sordo, M.A., Ramos, H.M.: Characterizations of stochastic orders by $L$-functionals. Statist. Papers 48, 249–263 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  11. Sordo, M.A., Ramos, H.M., Ramos, C.D.: Poverty measures and poverty orderings. SORT 31, 169–180 (2007)

    MathSciNet  MATH  Google Scholar 

  12. Sordo, M.A.: On the relationship of location-independent riskier order to the usual stochastic order. Statistics & Probability Letters 79, 155–157 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  13. Sordo, M.A., Alfonso, S.-L.: A class of location-independent variability orders, with applications. Journal of Applied Probability 47, 407–425 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Shaked, M., Shanthikumar, J.G.: Stochastic Orders. Mathematical Reviews (MathSciNet): MR2265633. Springer, New York (2007)

    Google Scholar 

  15. Sordo, M.A., Ramos, H.M., Ramos, C.D.: Poverty measures and poverty orderings. SORT 31, 169–180 (2007)

    MathSciNet  MATH  Google Scholar 

  16. Wang, F.: Some Results on the Generalized TTT Transform Order for Order Statistics. Journal of Applied Probability and Statistics 25(1), 27–37 (2009)

    MathSciNet  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, Bd., Zhi, J. (2011). Some Preservation Results of Location Independent Riskier Order. In: Wang, Y., Li, T. (eds) Knowledge Engineering and Management. Advances in Intelligent and Soft Computing, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25661-5_84

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  • DOI: https://doi.org/10.1007/978-3-642-25661-5_84

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25660-8

  • Online ISBN: 978-3-642-25661-5

  • eBook Packages: EngineeringEngineering (R0)

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