Title :
Homogeneity tests for scale parameters of 2-parameter exponential populations under time censoring
Author :
Thiagarajah, K. Ranee
Author_Institution :
Waterloo Univ., Ont., Canada
fDate :
6/1/1995 12:00:00 AM
Abstract :
Comparing two or more scale parameters of exponential distributions is often important in life-testing problems. This paper considers tests for the equality of several exponential scale parameters in presence of unspecified location parameters based on time-censored data. Using a conditional approach, various test statistics are derived. The Monte Carlo studies were carried out for comparing the powers of these statistics with the power of the usual likelihood ratio statistic. The power of the usual likelihood ratio test was better than those of the other tests for various combinations of mean number of failures
Keywords :
Monte Carlo methods; exponential distribution; failure analysis; life testing; reliability theory; statistical analysis; Monte Carlo studies; conditional approach; homogeneity tests; life testing; likelihood ratio test; mean failures number; reliability estimation; scale parameters; test statistics; time censoring; two-parameter exponential populations; unspecified location parameters; Coatings; Electronic components; Exponential distribution; Life testing; Maximum likelihood estimation; Monte Carlo methods; Statistical analysis; Statistical distributions; Statistics;
Journal_Title :
Reliability, IEEE Transactions on