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On a Generalized Inverse Binomial Sampling Plan
Bai, Do-Sun,Kim, Seong-In,Lee, Jung-Kyun The Korean Statistical Society 1977 Journal of the Korean Statistical Society Vol.6 No.1
In many applications one is concerned with repeated Bernoulli trials whose parameter (success probability) is usually unknown and has to be estimated from a sample. The probability distribution and statistical inference on the repeated independent Bernoulli trials have been studied extensively for the cases of fixed sample size sampling plan, and inverse binomial sampling plan in which observations are cotinued until a pressigned number of successes are obtained. See, for example, Haldane, Girschick et al., DeGroot and Johnson and Kotz.
Optimum Simple Step-Stress Accelerated Life Tests Under Periodic Observation
Bai, Do-Sun,Kim, Myung-Soo,Lee, Sang-Hyuk The Korean Statistical Society 1989 Journal of the Korean Statistical Society Vol.18 No.2
This paper presents optimum simple step-stress accelerated life test plans for the case where the test process is observed periodically at intervals of the same length. Two types of failure data, periodically observed complete data and periodically observed censored data, are considered. An exponential life distribution with a mean that is a log-linear function of stress, and a cumulative exposure model for the effect of changing stress are assumed. For each type of data, the optimum test plan which minimizes the asymptotic variance of the maximum likelihood estimator of the mean life at a design stress is obtained and its behaviors are studied.
Efficient Sequential Estimation in a Compound Poisson Process
Bai, Do-Sun,Kim, Myung-Soo,Jang, Joong-Soon The Korean Statistical Society 1986 Journal of the Korean Statistical Society Vol.15 No.2
Sequential estimation of parameters in a compound Poisson process whose jump sizes are one-parameter exponential class random variables is discussed. Cramer-Rao type information inequality is used as an efficiency cirterion. Unbiased estimators for certain parametric functions whose variance attain the lower bound are all characterized with the corresponding sampling plans.