Skip to main content
SpringerLink
Log in

Computing the moments of order statistics from independent nonidentically distributed Beta random variables

  • Note
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Recently Thomas and Samuel (Stat Pap 49:139–146, 2008) derived recurrence relations for the moments of order statistics arising form independent identically distributed Beta variables. In this paper the case of moments of independent nonidentically distributed Beta random variables is discussed. Another proof to the independent identical case is also presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Abdelkader YH (2004a) Computing the moments of order statistic from nonidentically distributed Erlang variables. Stat Pap 45: 563–570

    Article  MATH  MathSciNet  Google Scholar 

  • Abdelkader YH (2004b) Computing the moments of order statistic from nonidentically distributed Gamma variables with applications. Int J Math Game Theo Algebra 14: 1–8

    MATH  MathSciNet  Google Scholar 

  • Balakrishnan N (1994a) Order statistics from non-identically exponential random variables and some applications (with discussion). Comput Stat Data Anal 18(2): 203–225

    Article  Google Scholar 

  • Balakrishnan N (1994b) Order statistics from non-identically right-truncated exponential random variables and some applications. Commun Stat Theory Meth 23(12): 3373–3393

    Article  MATH  Google Scholar 

  • Balakrishnan N, Balasubramanian K (1995) Order statistics from non-identically power function random variables. Commun Stat Theory Meth 24(6): 1443–1454

    Article  MATH  MathSciNet  Google Scholar 

  • Barakat HM, Abdelkader YH (2000) Computing the moments of order statistic from nonidentically distributed Weibull variables. J Comput Appl Math 117: 85–90

    Article  MATH  MathSciNet  Google Scholar 

  • Barakat HM, Abdelkader YH (2004) Computing the moments of order statistic from nonidentically random variables. Stat Meth Appl 13: 15–26

    MATH  MathSciNet  Google Scholar 

  • Childs A, Balakrishnan N (1998) Generalized recurrence relations for the moments of order statistics from non-identically Pareto and truncated Pareto random variables with applications to robustness. In: (eds) Handbook of statistics, vol 16. Elsevier, Amsterdam, pp 403–438

    Google Scholar 

  • Exton H (1978) Handbook of hypergeometric integrals: theory, applications, tables, computer programs. Halsted Press, New York

    MATH  Google Scholar 

  • Malcolm DG, Roseboom JH, Clark CE, Fazar W (1959) Applications of a technique for research and development program evaluation. Oper Res 7: 646–669

    Article  Google Scholar 

  • Sculli D, Wong KL (1985) The maximum and sum of two Beta variables and the analysis of PERT networks. Omega 13(3): 233–240

    Article  Google Scholar 

  • Thomas PY, Samuel P (2008) Recurrence relations for the moments of order statistics from a Beta distribution. Stat Pap 49: 139–146

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

    Yousry H. Abdelkader

Authors
  1. Yousry H. Abdelkader
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yousry H. Abdelkader.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdelkader, Y.H. Computing the moments of order statistics from independent nonidentically distributed Beta random variables. Stat Papers 51, 307–313 (2010). https://doi.org/10.1007/s00362-008-0161-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-008-0161-0

Keywords

Search

Navigation