A Hypothesis Testing Using the Total Time on Test from Censored Data as Test Statistic
The total time on test for censored data from an exponentially distributed population has been proved to be a prediction sufficient (or adequate) statistic by Nair and Cheng  in light of the works by Cheng and Mordeson , and others [1, 9, 12-14]. The test may be repeated for many times. As a result, since the total time on test until the r-th ordered failure time is observed will be recorded for each test, several total time on test (for censored data) for the same system are available for use in analyzing the reliability of the system. The main objective of this proposal is to create a statistical test for the parameter of the exponential distribution on the basis of the total time on test from censored data.
KeywordsSufficient statistics Conditional independence Prediction sufficient statistics Factorization criterion Order statistics Censoring data Total time on test
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