Distribution-free comparison of hazard rates of two distributions under progressive type-II censoring

Abstract

Some distribution-free tests have been discussed in the literature with regard to the comparison of hazard rates of two distributions when the available samples are complete. We generalize here Kochar's [S.C. Kochar, A new distribution-free test for the equality of two failure rates, Biometrika 68 (1981), pp. 423–426] test statistic to the case when one available sample is progressively Type-II censored, and then derive its exact null distribution and examine its power properties by means of a Monte Carlo simulation study.

Keywords:

• distribution-free test
• progressive Type-II censoring
• stochastic ordering
• hazard rate ordering
• power
• precedence-type statistic
• kernel function
• kernel estimation

AMS 2010 Subject Classifications :

• Primary 62G10
• Secondary 62N03
• 62N05