Confidence Intervals for an Exponential Parameter from a Two Stage Life Test.
MISSOURI UNIV-COLUMBIA DEPT OF STATISTICS
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The two stage life test of Bulgren and Hewett 1973 for the mean lifetime, theta, of an exponentially distributed lifetime is essentially a two stage version of type 2 censoring. Since the test decision only determines whether theta is above or below theta sub 0, it may be of interest to estimate theta following the decision using the test data. Epstein 1960a found confidence intervals for under type 2 censoring. This report shows that Epsteins intervals may be modified slightly and used to provide confidence intervals for theta following the two stage test. The resulting confidence intervals are shown to be conservative. Author
- Statistics and Probability