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Noninformative priors for stress-strength reliability in the Pareto distributions
강상길,김달호,이우동 한국데이터정보과학회 2011 한국데이터정보과학회지 Vol.22 No.1
In this paper, we develop the noninformative priors for stress-strength reliability from the Pareto distributions. We develop the matching priors and the reference priors. It turns out that the second order matching prior does not match the alternative coverage probabilities, and is not a highest posterior density matching or a cumelative distribution function matching priors. Also we reveal that the one-at-a-time reference prior and Jereys' prior are the second order matching prior. We show that the proposed reference prior matches the target coverage probabilities in a frequentist sense through simulation study, and an example is given.
Default Bayesian testing equality of scale parameters in several inverse Gaussian distributions
강상길,이우동,김달호 한국데이터정보과학회 2015 한국데이터정보과학회지 Vol.26 No.3
This paper deals with the problem of testing about the equality of the scale parameters in several inverse Gaussian distributions. We propose default Bayesian testing procedures for the equality of the shape parameters under the reference priors. The reference prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. Therefore we propose the default Bayesian testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.
강상길,김달호,이우동 한국데이터정보과학회 2014 한국데이터정보과학회지 Vol.25 No.4
This article deals with the problem of testing the equality of the scale parameters of several inverted exponential distributions. We propose Bayesian hypothesis testing procedures for the equality of the scale parameters under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be dened up to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.
Noninformative priors for the reliability function of two-parameter exponential distribution
강상길,김달호,이우동 한국데이터정보과학회 2011 한국데이터정보과학회지 Vol.22 No.2
In this paper, we develop the reference and the matching priors for the reliability function of two-parameter exponential distribution. We derive the reference priors and the matching prior, and prove the propriety of joint posterior distribution under the general prior including the reference priors and the matching prior. Through the simulation study, we show that the proposed reference priors match the target coverage probabilities in a frequentist sense.
Likelihood-based inference for the ratio of the parameters of the inverse exponential distributions
강상길,박홍경,이우동 한국데이터정보과학회 2019 한국데이터정보과학회지 Vol.30 No.6
In this article, two likelihood-based methods are developed to make a statistical inference of the ratio of the parameters of the inverse exponential distributions. The exact method and the likelihood-based methods under the signed log-likelihood ratio statistic and the modified signed log-likelihood ratio statistic are developed. The confidence intervals of the ratio and the test of the ratio of the parameters of two independent inverse exponential distributions are studied by proposed statistics. For comparing the accuracy of the proposed methods, we investigate the coverage probability, the bilateral symmetry and length of the confidence intervals in the small sample size. Also, the power of the test statistics are compared. And a real data example is provided.
Noninformative priors for product of exponential means
강상길,이우동,김달호 한국데이터정보과학회 2015 한국데이터정보과학회지 Vol.26 No.3
In this paper, we develop the noninformative priors for the product of different powers of k means in the exponential distribution. We developed the first and second order matching priors. It turns out that the second order matching prior matches the alternative coverage probabilities, and is the highest posterior density matching prior. Also we revealed that the derived reference prior is the second order matching prior, and Jeffreys' prior and reference prior are the same. We showed that the proposed reference prior matches very well the target coverage probabilities in a frequentist sense through simulation study, and an example based on real data is given.
강상길,유종현,박철,박희명 한국임상수의학회 2008 한국임상수의학회지 Vol.25 No.6
A retrospective study of 17 dogs with hyperadrenocorticism (HAC) was performed to evaluate the clinical and clinicopathological outcomes in dogs with pituitary-dependent HAC or adrenal gland-dependent HAC. Sixteen dogs were monitored at day 10, 30 and 90 then every 3 month after first presentation. In each examination, physical examination and ACTH stimulation test and client questionnaire were performed. In 17 cases, eight dogs were successfully treated with mitotane therapy (median dose 16.7 mg/kg; range 5.3 to 50 mg/kg, SID); another one dog showed favorable response, but the clients declined to further treatment before the full control of the disease had been achieved; four dogs showed poor response to treatment. One dog was euthanized due to septicemia. These results showed canine HAC can be medically managed successfully without side effects at the doses used in this study.
Noninformative priors for the ratio of the scale parameters in the half logistic distributions
강상길,김달호,이우동 한국데이터정보과학회 2012 한국데이터정보과학회지 Vol.23 No.4
In this paper, we develop the noninformative priors for the ratio of the scale parameters in the half logistic distributions. We develop the rst and second order matching priors. It turns out that the second order matching prior matches the alternative coverage probabilities, and is a highest posterior density matching prior. Also we reveal that the one-at-a-time reference prior and Jeffreys' prior are the second order matching prior. We show that the proposed reference prior matches the target coverage probabilities in a frequentist sense through simulation study, and an example based on real data is given.
Noninformative priors for the generalized half-normal distribution
강상길,이근백,이우동 한국통계학회 2014 Journal of the Korean Statistical Society Vol.43 No.1
In this paper, we develop noninformative priors for the generalized half-normal distributionwhen scale and shape parameters are of interest, respectively. Especially, we developthe first and second order matching priors for both parameters. For the shape parameter,we reveal that the second order matching prior is a highest posterior density (HPD)matching prior and a cumulative distribution function (CDF) matching prior. In addition, itmatches the alternative coverage probabilities up to the second order. For the scale parameter,we reveal that the second order matching prior is neither a HPD matching prior nor aCDF matching prior. Also, it does not match the alternative coverage probabilities up to thesecond order. For both parameters, we present that the one-at-a-time reference prior is asecond order matching prior. However, Jeffreys’ prior is neither a first nor a second ordermatching prior. Methods are illustrated with both a simulation study and a real data set.