The Distribution of Sum, Product and Ratio for the Absolutely Continuous Bivariate Generalized Exponential Random Variables | ||
| The Egyptian Statistical Journal | ||
| Article 7, Volume 61, Issue 2, December 2017, Pages 140-155 PDF (2.29 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2017.270134 | ||
| Abstract | ||
| Block and Basu bivariate exponential distribution is a standout amongst the most absolutely continuous bivariate technique . This idea can be extended to the generalized exponential technique also. In this case this technique is called as the block and Basu bivariate generalized exponential (BBBGE) distribution . some properties of BBBGE distribution can be obtained as the moment generating function, median and mode . the exact forms for the distribution of sum , ratio product of dependent variables follow the block and Basu bivariate generalized exponential distribution are derived the maximum likelihood estimation (MLE) procedure is performed for the parameters of the BBBGE distribution a numerical illustration performed to see the performances of the MLEs | ||
| Keywords | ||
| Block and Basu bivariate exponential distribution; moment generating function; marshal-0lkin bivariate exponential distribution | ||
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