IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v51y2001i4p389-396.html
   My bibliography  Save this article

Stochastic orders of the sums of two exponential random variables

Author

Listed:
  • Chang, Kuo-Hwa

Abstract

The sums of two exponential random variables are compared in the sense of likelihood ratio order. It is shown that, under some conditions, their likelihood ratio order does not exist and, if it exists, the complete comparison results can be determined.

Suggested Citation

  • Chang, Kuo-Hwa, 2001. "Stochastic orders of the sums of two exponential random variables," Statistics & Probability Letters, Elsevier, vol. 51(4), pages 389-396, February.
    • Handle: RePEc:eee:stapro:v:51:y:2001:i:4:p:389-396
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(00)00179-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Genji Yamazaki & Hirotaka Sakasegawa, 1975. "Properties of duality in tandem queueing systems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 27(1), pages 201-212, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kandil Abd El-Fattah Mohamed & Kayid Mohamed & Mahdy Mervat Mahdy Ramadan, 2010. "Median Inactivity Time Function and its Reliability Properties," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 253-268, January.
    2. Zhao, Peng & Li, Xiaohu & Balakrishnan, N., 2009. "Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 952-962, May.
    3. Lihong, Sun & Xinsheng, Zhang, 2005. "Stochastic comparisons of order statistics from gamma distributions," Journal of Multivariate Analysis, Elsevier, vol. 93(1), pages 112-121, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lutz, Christian M. & Roscoe Davis, K. & Sun, Minghe, 1998. "Determining buffer location and size in production lines using tabu search," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 301-316, April.
    2. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    3. Sigrún Andradóttir & Hayriye Ayhan, 2005. "Throughput Maximization for Tandem Lines with Two Stations and Flexible Servers," Operations Research, INFORMS, vol. 53(3), pages 516-531, June.
    4. Hirotaka Sakasegawa & Genji Yamazaki, 1977. "Inequalities and an approximation formula for the mean delay time in tandem queueing systems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 29(1), pages 445-466, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:51:y:2001:i:4:p:389-396. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.