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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

MOMENTS OF NONIDENTICAL ORDER STATISTICS FROM BURR XII DISTRIBUTION WITH GAMMA AND NORMAL OUTLIERS

Z.A. Al-Saiary1 and A. A. Jamjoom1
  • 1 Abdul-Aziz University, Saudi Arabia

Abstract

There are some distributions with no simple closed form for distribution functions such as the Normal and Gamma distributions. This will be the problem if we want to find moments of nonidentical order statistics in the presence of Gamma and Normal outliers observations. We used the idea of approximating Normal and Gamma distributions with Burr type XII distribution. We get single moments for order statistics from sample of independent nonidentically distributed Burr XII random variables that contains p-outlier from Normal or Gamma distributions. Approximating these distributions with Burr XII distribution and then we compared the results by previous method.

Journal of Mathematics and Statistics
Volume 9 No. 1, 2013, 51-61

DOI: https://doi.org/10.3844/jmssp.2013.51.61

Submitted On: 19 October 2011 Published On: 12 April 2013

How to Cite: Al-Saiary, Z. & Jamjoom, A. A. (2013). MOMENTS OF NONIDENTICAL ORDER STATISTICS FROM BURR XII DISTRIBUTION WITH GAMMA AND NORMAL OUTLIERS. Journal of Mathematics and Statistics, 9(1), 51-61. https://doi.org/10.3844/jmssp.2013.51.61

Open AccessCopyright: © 2013 Z.A. Al-Saiary and A. A. Jamjoom. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Approximation
  • Nonidentical Order Statistics
  • Burr XII Distribution
  • Normal Distribution
  • PERMINANTS
  • Gamma Distribution