IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v13y1985i3p233-240.html
   My bibliography  Save this article

The maximum and sum of two beta variables and the analysis of PERT networks

Author

Listed:
  • Sculli, D
  • Wong, KL

Abstract

This paper explores the errors involved in the approximation of both the maximum and sum of two independent Beta random variables, each by another Beta random variable. The principal area of application is the time analysis of PERT networks, and the results are interpreted and discussed in terms of this application. The error was found to be acceptable for the greater part of the range of the parameters involved. The results will help practitioners estimate the mean and standard deviation of the completion time of PERT networks.

Suggested Citation

  • Sculli, D & Wong, KL, 1985. "The maximum and sum of two beta variables and the analysis of PERT networks," Omega, Elsevier, vol. 13(3), pages 233-240.
    • Handle: RePEc:eee:jomega:v:13:y:1985:i:3:p:233-240
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0305-0483(85)90061-1
    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.

    Citations

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


    Cited by:

    1. Yousry Abdelkader, 2010. "Computing the moments of order statistics from independent nonidentically distributed Beta random variables," Statistical Papers, Springer, vol. 51(2), pages 307-313, June.
    2. Mohammad Ghaderi, 2020. "Public Health Interventions in the Face of Pandemics: Network Structure, Social Distancing, and Heterogeneity," Working Papers 1193, Barcelona School of Economics.
    3. Dawson, C. W., 1995. "A dynamic sampling technique for the simulation of probabilistic and generalized activity networks," Omega, Elsevier, vol. 23(5), pages 557-566, October.
    4. Pérez, José García & Martín, María del Mar López & García, Catalina García & Sánchez Granero, Miguel Ángel, 2016. "Project management under uncertainty beyond beta: The generalized bicubic distribution," Operations Research Perspectives, Elsevier, vol. 3(C), pages 67-76.
    5. Yousry Abdelkader, 2010. "Adjustment of the moments of the project completion times when activity times are exponentially distributed," Annals of Operations Research, Springer, vol. 181(1), pages 503-514, December.
    6. Saralees Nadarajah & Xiao Jiang & Jeffrey Chu, 2015. "A saddlepoint approximation to the distribution of the sum of independent non-identically beta random variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(2), pages 102-114, May.
    7. Ghaderi, Mohammad, 2022. "Public health interventions in the face of pandemics: Network structure, social distancing, and heterogeneity," European Journal of Operational Research, Elsevier, vol. 298(3), pages 1016-1031.
    8. Saraless Nadarajah, 2006. "Exact and approximate distributions for the product of inverted Dirichlet components," Statistical Papers, Springer, vol. 47(4), pages 551-568, October.
    9. Mohammad Ghaderi, 2020. "Public health interventions in the face of pandemics: network structure, social distancing, and heterogeneity," Economics Working Papers 1732, Department of Economics and Business, Universitat Pompeu Fabra.

    More about this item

    Statistics

    Access and download statistics

    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:jomega:v:13:y:1985:i:3:p:233-240. 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.

    We have no bibliographic references for this item. You can help adding them by using 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/375/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.