• Journal of the Korean Data and Information Science Society
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• 제17권4호
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• pp.1413-1425
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• 2006

When X and Y have independent gamma distributions, we develop a Bayesian procedure for testing the equality of two gamma means. The reference prior is derived. Using the derived reference prior, we propose a Bayesian test procedure for the equality of two gamma means using fractional Bayes factor and intrinsic Bayes factor. Simulation study and a real data example are provided.

• Journal of the Korean Data and Information Science Society
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• 제18권1호
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• pp.247-257
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• 2007

In this paper, we develop the noninformative priors for the common shape parameter in the gamma distributions. We develop the matching priors and reveal that the second order matching prior does not exist. It turns out that the one-at-a-time reference prior and the two group reference prior satisfy a first order probability matching criterion. Some simulation study is peformed.

• Journal of the Korean Data and Information Science Society
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• 제17권4호
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• pp.1329-1341
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• 2006

When X and Y have independent gamma distributions, we consider the testing problem for two gamma means. We propose a solution based on a Bayesian model selection procedure to this problem in which no subjective input is considered. The reference prior is derived. Using the derived reference prior, we compute the fractional Bayes factor and the intrinsic Bayes factors. The posterior probability of each model is used as a model selection tool. Simulation study and a real data example are provided.

• 품질경영학회지
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• 제15권2호
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• pp.55-60
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• 1987

A rectifying inspection plan which assumes a gamma - prior distribution on the lot percent defective is considered. This sampling inspection plan is developed for finite lot sizes with matching OC curves and generated from an initial plan selected from KS A 3102 single sampling by attributes. Comparisons are made with each plan by three examples.

• International Journal of Reliability and Applications
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• 제2권2호
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• pp.117-130
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• 2001

Consider the problem of estimating the system reliability using noninformative priors when both stress and strength follow generalized gamma distributions. We first treat the orthogonal reparametrization and then, using this reparametrization, derive Jeffreys'prior, reference prior, and matching priors. We next provide the suffcient condition for propriety of posterior distributions under those noninformative priors. Finally, we provide and compare estimated values of the system reliability based on the simulated values of the parameter of interest in some special cases.

• Food Science and Biotechnology
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• 제14권6호
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• pp.732-737
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• 2005

The combinational effect of gamma irradiation and moist heating on the trypsin inhibitor activity (TIA) in soaked and dried soybeans was evaluated by measuring the inhibition using N-benzoyl-DL-arginine-p-nitroanilide (BAPNA) as substrate. Gamma irradiation significantly decreased the TIA level in soybean at doses above 5 kGy, and the $ID_{50}$ (the gamma irradiation dose required to reach 50% inhibition) value for TIA was 13.53 kGy. Soaking prior to gamma irradiation significantly lowered the $ID_{50}$ to 8.44 kGy, and the soaking process enhanced the efficiency to inactivate TIA by as much as 48%. When soaking prior to gamma irradiation was followed by subsequent mild heating ($60^{\circ}C$) process, the $IT_{50}$ (heating time required to reach the 50% inhibition of TIA) value at even 1 kGy (5.28 min) was greatly reduced by over 50% compared to the level for the no-soaking process. In addition, the activation energy of soaking prior to gamma irradiation at 1 kGy was 2.45 kcal/mole, which was also about 50% lower than the 5.10 kcal/mole of dried soybean gamma-irradiated. Based on these results, soaking prior to gamma irradiation is an effective method for TIA inhibition. Furthermore, a combination of two or more processing methods such as soaking, heating and gamma irradiation is much more effective than any single processing method.

• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2005년도 추계학술대회
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• pp.27-34
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• 2005

We consider the problem of estimating the system reliability noninformative priors when both stress and strength follow generalized gamma distributions. We first derive Jeffreys' prior, group ordering reference priors, and matching priors. We investigate the propriety of posterior distributions and provide marginal posterior distributions under those noninformative priors. We also examine whether the reference priors satisfy the probability matching criterion.

• Journal of the Korean Data and Information Science Society
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• 제28권4호
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• pp.875-888
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• 2017

The Rayleigh distribution has been commonly used in life time testing studies of the probability of surviving until mission time. We focus on a reliability function of the Rayleigh distribution and deal with prior distribution on R(t). This paper is an effort to obtain Bayes estimators of rayleigh distribution with three different prior distribution on the reliability function; a noninformative prior, uniform prior and inverse gamma prior. We have found the Bayes estimator and predictive density function of a future observation y with each prior distribution. We compare the performance of the Bayes estimators under different sample size and in simulation study. We also derive the most plausible region, prediction intervals for a future observation.

• Journal of the Korean Data and Information Science Society
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• 제18권4호
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• pp.1191-1203
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• 2007

In this paper, we consider the hypothesis testing for the homogeneity of the shape parameters in the gamma distributions. The noninformative priors such as Jeffreys# prior or reference prior are usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian testing procedure for the homogeneity of the shape parameters based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

• 한국임상수의학회지
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• 제27권6호
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• pp.640-646
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• 2010

네오스포라 감염증은 세포내성 원충성 기생충인 Neospora caninum에 의해 발생하는 질병으로 전세계적으로 발생하고 있으며, 소에서는 번식장해로 인한 막대한 경제적 손실을 유발한다. 본 연구는 4 곳의 각기 다른 목장으로부터 N. caninum에 자연 감염된 양성우와 음성우를 포함한 26두의 임신우를 선정하여 2주 내지 4주 간격으로 혈액을 채취하여 호르몬, 항체가, IFN${\gamma}$ 수준과 유산 혹은 분만과의 상관관계를 조사하였다. 유산하지 않은 Neospora 양성우14두의 S/P 평균값은 분만 전 15주에 최고치를 보였고, 이후 분만 때까지 감소하였다. 유산한 양성우 3두의 유산 시기는 각각 인공 수정 후 20주 (142일), 26주 (185일), 28주 (199일)였으며, 이들의 S/P값은 유산 전 13주부터 유산 때까지 높은 수준을 유지하였다. 유산하지 않은 양성우에서 IFN${\gamma}$ 수준은 개체에 따라 그리고 동일한 개체라도 임신기간이 경과함에 따라 다양하게 나타났으며, 유산한 양성우에서 IFN${\gamma}$ 수준은 계속 높은 상태를 유지하거나 또는 유산시점에 근접하여 급상승하였다. Neospora 음성우 9두의 IFN${\gamma}$ 수준은 양성우보다 낮았지만, 그 양상은 유산하지 않은 양성우와 유사하였다. 유산하지 않은 양성우와 음성우에서 평균적인 progesterone수준은 분만 전 7주부터 뚜렷하게 감소하였다. 유산한 양성우에서는 유산 전 5주와 7주의 평균적인 progesterone 수준은 정상 분만한 음성우나 양성우의 분만전 5주와 7주에 측정된 평균 progesterone 수준보다 낮았다. 유산한 양성우에서 17${\beta}$-estradiol의 평균 수준은 유산 시점에 근접할수록 증가하였지만, 혈청내 총양은 유산하지 않은 양성우와 음성우에서 분만시점에 근접하여 측정한 평균 17${\beta}$-estradiol 수준보다 더 낮았다. 이상의 결과로 미루어 보아 Neospora에 감염된 소에서 17${\beta}$-estradiol과 progesterone 수준의 저하는 IFN${\gamma}$ 산생을 증가시켜, 결국에는 유산을 초래할 수 있다고 생각된다.