Precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function
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Date
2013-07-03
Authors
Galloway, Katherine Anne Forsyth
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Abstract
In reliability studies, the goal is to gain knowledge about a product's failure times or life expectancy. Precedence tests do not require large sample sizes and are used in reliability studies to compare the life-time distributions from two samples. Precedence tests are useful since they provide reliable results early in a life-test and the surviving units can be used in other tests. Ng and Balakrishnan (2010) proposed a precedence-type test based on the Kaplan-Meier estimator of the cumulative distribution function.
A precedence-type test based on the Nelson-Aalen estimator of the cumulative hazard function has been proposed. This test was developed for both Type-II right censoring and progressive Type-II right censoring. Numerical results, including illustrative examples, critical values and a power study have been provided. The results from this test were compared with those from the test based on the Kaplan-Meier estimator.
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Keywords
Nonparametric procedures, Precedence test, Nelson-Aalen estimator, Kaplan-Meier estimator, Type-II right censoring, Progressive Type-II right censoring, Life-testing