Generalized order statistics from generalized exponential distributions in explicit forms


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.

DOI Code: 10.1285/i20705948v6n2p222

Keywords: Generalized Exponential Distribution; Linear Exponential Distribution; Generalized Order Statistics; Random Variables; Conditional Distribution.

References


. Gupta, R.D. and Kundu D. (1999). Generalized Exponential Distributions.

Australian and New Zealand Journal of Statistics, 41, 2, 173-188.

. Garg M. (2009). On Generalized Order Statistics From Kumaraswamy Distribution. Tamsui Oxford Journal of Mathematical Sciences, 25, 2.

. 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.


Full Text: pdf
کاغذ a4
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.