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New Stochastic Orders Based on Double Truncation*

Published online by Cambridge University Press:  27 July 2009

Jorge Navarro ,
Felix Belzunce  and
Jose M. Ruiz
Jorge Navarro
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Murcia 30100, Spain
Felix Belzunce
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Murcia 30100, Spain
Jose M. Ruiz
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Murcia 30100, Spain
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Abstract

The purpose of this paper is to study definitions and characterizations of orders based on reliability measures related with the doubly truncated random variable X[x, y] = (X|x ≤ X ≤ y). The relationship between these orderings and various existing orderings of life distributions are discussed. Moreover, we give two new characterizations of the likelihood ratio order based on double truncation. These new orders complete a general diagram between orders defined from truncation.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 11 , Issue 3 , July 1997 , pp. 395 - 402
Copyright
Copyright © Cambridge University Press 1997

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References

1.Belzunce, F., Pellerey, F., Ruiz, J.M., & Shaked, M. (1997). The dilation order, the dispersion order and orderings of residual lives. Statistics and Probability Letters (to appear).CrossRefGoogle Scholar
2.Keilson, J. & Sumita, U. (1982). Uniform stochastic ordering and related inequalities. The Canadian Journal of Statistics 10: 181–198.CrossRefGoogle Scholar
3.Kotlarski, I.I. (1972). On a characterization of some probability distributions by conditional expectations. Sankhyā, Series A 34: 461–466.Google Scholar
4.Navarro, J. & Ruiz, J.M. (1996). Failure rate functions for doubly truncated random variables. IEEE Transactions on Reliability 45(4): 685–690.CrossRefGoogle Scholar
5.Ruiz, J.M. & Navarro, J. (1995). Characterization of discrete distributions using expected values. Statistical Papers 36(3): 237–252.CrossRefGoogle Scholar
6.Ruiz, J.M. & Navarro, J. (1996). Characterizations based on conditional expectations of the doubled truncated distribution. Annals of the Institute of Statistical Mathematics 48(3): 563–572.CrossRefGoogle Scholar
7.Shaked, M. & Shanthikumar, J.G. (1994). Stochastic orders and their applications. San Diego: Academic Press.Google Scholar
8.Shanbhag, D.N. & Rao, B.M. (1975). A note on characterization of probability distributions based on conditional expected values. Sankhyā, Series A 37: 297–300.Google Scholar
9.Whitt, W. (1980). Uniform conditional stochastic order. Journal of Applied Probability 17: 112–123.CrossRefGoogle Scholar