SummaryThis paper obtains MLE of the parameters and large sample tests for independence as well as symmetry of two components in modified Freund's model of bivariate exponential distribution proposed by PROSCHAN and SULLO (1974). The Modified Freund's model is more general model than the other models like MARSHALL and OLKIN (1967), FREUND (1961) andBLOCK andBASU (1974) which are the sub-models of Modified Freund's model. It satisfies the most important Loss of Memory Property (LMP) which implies the other three sub-models also satisfy LMP. We also obtain the confidence interval for the parameters in the above model. We extend the above results in fixed time censored and random censored samples.
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