Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 1, pp. 76--85

GOODNESS OF FIT TESTS BASED ON RECURRING FAILURE DATA

By

SUDHA G. PUROHIT, *University of Poona*

SUMMARY. In this paper the testing problems in the situations where individuals (systems) can experience repeated events (failures) are considered. Tests are constructed for checking the goodness of fit of a completely specified rate of occurrence or failures (ROCOF). The problem is of interest if a comparison of ROCOF of the systems with some standard ROCOF is desired. The tests are also useful to verify the assumption of known ROCOF of the system (e.g. many preventive maintenance policies in reliability field). Another problem of interest is to test minimality of repairs against additional damage/improvement in reliability at failures. A test is obtained which maximizes the local power. This test is based on the assumption of known ROCOF of a new system. To verify this assumption, a test based on available data is suggested.

*AMS (1980) subject classification.* 62G30.

*Key words and phrases.* Chi-square statistics, counting process, local power, matingale estimator, minimal repair, rate of occurrence of failures, weak convergence.