The Trunsored Model and Its Applications to Lifetime Analysis: Unified Censored and Truncated Models

H. Hirose

IEEE Transactions on Reliability, Vol.54, No.1, pp.11-21 (2005.3)

A new incomplete data model, the trunsored model, in lifetime analysis is introduced. This model can be regarded as a unified model of the censored and truncated models. Using the model, we can not only estimate the ratio of the fragile population to the mixed fragile and durable populations, but also test a hypothesis that the ratio is equal to a prescribed value. A central point of the paper is that such a test can easily be realized through the newly introduced trunsored model, because it has been difficult to do such a hypothesis test under only the framework of censored and truncated models. Therefore, the relationship of the trunsored model to the censored and truncated models is clarified because the trunsored model unifies the censored and truncated models. The paper also shows how to obtain the estimates of the parameters in lifetime estimation, and corresponding confidence intervals for the fragile population. Typical examples applied to electronic board failures, and to breast cancer data, for lifetime estimation are demonstrated, and successfully worked using the trunsored model.

Key Words

Bootstrap, censored data, durable population, exponential distribution, fragile population, grouped data, likelihood ratio test, limited failure population, mixture model, truncated data, Weibull distribution. FAILURE-RATE FUNCTIONS; EXPONENTIAL-DISTRIBUTIONS; RANDOM-VARIABLES; PARAMETERS; TESTS; RELIABILITY; SAMPLE; SIZE



Times Cited in Web of Science: 6

Times Cited in Google Scholar: 16

Cited in Books: 山田節夫、特許の実証経済分析、東洋経済新報社(2009.4)

Inspec: 1

WoS: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 巻: 223 号: 3 ページ: 722-731 DOI: 10.1016/j.ejor.2012.07.011 発行: DEC 16 2012; IEEE TRANSACTIONS ON RELIABILITY 巻: 61 号: 3 ページ: 625-633 DOI: 10.1109/TR.2012.2207575 発行: SEP 2012; INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL Volume: 12 Issue: 1 Pages: 33-50 Published: JAN 2009; RELIABILITY ENGINEERING & SYSTEM SAFETY Volume: 94 Issue: 2 Pages: 463-473 Published: FEB 2009; MATHEMATICS AND COMPUTERS IN SIMULATION 74 (6): 443-453 APR 30 2007