Trunsored Data Analysis with Applications to Field Data


H. Hirose


"Hawaii International Conference on Statistics, Mathematics and Related Fields", June 5-9, 2002, at Sheraton Waikiki Hotel,Honolulu


A new trunsored data model approach is introduced for the estimation of the lifetime
of a fragile population from a mixture model of fragile and durable
populations for the case that the ratio of the fragile population to the mixed
populations is unknown but the sample size is known. The possible existence of a
durable population in the mixed populations is investigated using the
likelihood ratio hypothesis test. The estimates and corresponding confidence intervals
of the parameters in the underlying distribution for the fragile population can then
be obtained.


Key Words
Truncated data, Censored data, Mixture model, Weibull distribution,
Likelihood ratio test, Bootstrap



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