27Mar 2019

ON THE MEAN AND VARIANCE OF A FUNCTION OF ORDER STATISTICS.

  • Department of Statistics, University of Karachi, Pakistan.
  • Department of Economics, University of Karachi, Pakistan.
  • Usman Institute of Technology, Karachi, Pakistan.
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Order statistics deals with the properties and applications of random variables and their functions. In this study the distribution of order statistics for samples is derived andTaylor?s expansion technique is applied for the calculation of moments ofthe functions. The transformation of random variable X, i.e. h(X) has been computed in several ways as well and it is found that the variance of ln(X(m+1)) is negligible as compared to the variance of X(m+1). In this paper the probability distribution of ln(X(m+1)) is completely evaluated for large samples.

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[Ehtesham Hussain, Muhammad Ahsanuddin and Masood Ul Haq (2019); ON THE MEAN AND VARIANCE OF A FUNCTION OF ORDER STATISTICS. Int. J. of Adv. Res. 7 (Mar). 1266-1270] (ISSN 2320-5407). www.journalijar.com

Muhammad Ahsanuddin
University of Karachi, Pakistan

DOI:

Article DOI: 10.21474/IJAR01/8759      
DOI URL: https://dx.doi.org/10.21474/IJAR01/8759

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