Generalized order statistics from generalized exponential distributions in explicit forms

Authors

  • Samir K Safi The Islamic University of Gaza
  • Rehab H. AlSheikh Ahmed Al-Aqsa University, Department of Mathematics

DOI:

https://doi.org/10.1285/i20705948v6n2p222

Keywords:

Generalized Exponential Distribution, Linear Exponential Distribution, Generalized Order Statistics, Random Variables, Conditional Distribution.

Abstract

In the present paper, we study the generalized order statistics from Generalized Exponential Distributions (GED) in explicit forms. We obtain, the joint distribution, distribution of single, and conditional distribution of two generalized order statistics from Generalized Exponential and Linear Exponential Distributions (LED). Several interesting special cases, when generalized order statistics are from Exponential distribution have been discussed.

Author Biography

Samir K Safi, The Islamic University of Gaza

Dr. Samir Safi is an Associate Professor of Statistics at the Islamic University of Gaza, Palestine. He earned his PhD in Statistics from the American University in Washington DC. His research interests are in time series analysis and forecasting, Mathematical Statistics, and Regression.

References

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. Kamps, U. (1995). A concept of generalized order statistics. ELSEVIER Journal of Statistical planning and inference, 48.

. Samuel, P. (2008). Characterization of Distributions by Conditional Expectation of Generalized Order Statistics, Statistical Papers, 49, 101-108.

. Ragab, M. (2004). Generalized Exponential Distribution: Moments of Order Statistics. Journal of Theoretical and Applied Statistics, 38, 1, 29-41.

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Published

14-10-2013

Issue

Vol. 6 No. 2 (2013): Electronic Journal of Applied Statistical Analysis

Section

Original Paper

License

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