ESTIMATING POPULATION-SIZE BY RECAPTURE SAMPLING
成果类型：
Article
署名作者：
NAYAK, TK
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1988
页码：
113120
关键词：
摘要：
A design called recapture debugging is proposed to get extra information to estimate the original number of faults, N, in a reliability system. The system is observed for a fixed amount of time .tau. and the failures are assumed to follow an exponential law with an unknown common parameter .lambda.. The maximum likelihood and moment estimators of N and .lambda. are derived and compared with the existing estimators. The recapture sampling provides substantially more information and improved estimators compared to the standard experiment if .tau. is not small. Significance tests for testing hypotheses about N and .lambda. are developed. Finally, for testing the system one can consider .tau. to be determined sequentially and we present a suitable stopping rule.