• 한국식품과학회지
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• 제42권3호
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• pp.373-376
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• 2010

본 연구는 국내에서의 가정내 냉장고 온도에 대한 조사를 수행하여, 현 시점에서의 냉장고에서의 식품보관 온도분포를 추정하였고, 이를 MRA(미생물 위해평가: Microbial risk assessment)의 입력변수로 활용할 수 있도록 적정 확률분포 모델을 제시하였다. 일반적으로 가정내 냉장고에서의 식품 보관온도는 식중독 발생 등에서 있어 중요한 위해인자로 작용하는 것으로 알려져 있다. 조사대상 가구는 총 139가구이었으며, 조사기간은 2009년 5월에서부터 9월까지 data logger를 이용하여 측정하였다. 조사된 냉장고 온도의 평균은 $3.53{\pm}2.96^{\circ}C$로, $5^{\circ}C$ 이상은 23.6%로 나타났다. 수집된 온도자료는 @RISK를 이용, 적합성 검정(GOF: K-S와 AD test)을 수행하여 적정 확률분포모델에 대해 추정하였고, 이중 LogLogistic(-10.407, 13.616, 8.6107)분포 모델이 가장 적절한 국내에서의 가정내 냉장고 식품보관 온도분포 모델로 나타났다. 이 확률분포 모델은 MRA적용에 있어 노출평가에서 입력변수로서 직접적 활용이 가능하다고 할 수 있겠다.

• 한국산학기술학회:학술대회논문집
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• 한국산학기술학회 2011년도 춘계학술논문집 1부
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• pp.176-178
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• 2011

본 연구에서는 소프트웨어 제품을 개발하여 테스팅을 거친 후 사용자에게 인도하는 시기를 결정하는 방출문제에 대하여 연구되었다. 인도시기에 관한 모형은 무한 고장수에 의존하는 비동질적인 포아송 과정을 적용하였다. 이러한 포아송 과정은 소프트웨어의 결함을 제거하거나 수정 작업 중에도 새로운 결함이 발생될 가능성을 반영하는 모형이다. 강도함수는 로그-로지스틱 패턴을 이용하였다. 따라서 소프트웨어 요구 신뢰도를 만족시키고 소프트웨어 개발 및 유지 총비용을 최소화 시키는 방출시간이 최적 소프트웨어 방출 정책이 된다.

• Journal of the Korean Data and Information Science Society
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• 제25권1호
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• pp.177-185
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• 2014

로지스틱회귀모형에서 설명변수만으로는 충분히 설명이 되지 못하고 설명변수의 변환된 형태인 이차항 또는 교호작용항이 필요한 경우가 있다. 설명변수가 두 개이고 조건부 분포가 이변량 정규분포를 따르는 경우 로지스틱회귀모형에서는 기본적으로 이차항과 교호작용항이 모형에 포함되어야 한다. 하지만 조건부 분포의 분산과 상관계수에 따라 이차항과 교호작용항이 필요하지 않게 되는 경우도 있다. 분산이나 상관계수에 대한 정보는 산점도를 보고 대체적인 판단이 가능하지만 교호작용항의 필요성을 판단하기가 쉽지 않다. 본 논문에서는 3차원 잔차산점도를 이용한 교호작용의 탐색방법을 제시하고 이 방법을 실제 자료에 적용시켜본다.

• Journal of Forest and Environmental Science
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• 제36권1호
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• pp.7-16
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• 2020

Tree size distribution modelling is an integral part of forest management. Most distribution yield systems rely on some flexible probability models. In this study, a simple finite mixture of two components two-parameter Weibull distribution was compared with complex four-parameter distributions in terms of their fitness to predict tree size distribution of teak (Tectona grandis Linn f) plantations. Also, a system of equation was developed using Seemingly Unrelated Regression wherein the size distributions of the stand were predicted. Generalized beta, Johnson's SB, Logit-Logistic and generalized Weibull distributions were the four-parameter distributions considered. The Kolmogorov-Smirnov test and negative log-likelihood value were used to assess the distributions. The results show that the simple finite mixture outperformed the four-parameter distributions especially in stands that are bimodal and heavily skewed. Twelve models were developed in the system of equation-one for predicting mean diameter, seven for predicting percentiles and four for predicting the parameters of the finite mixture distribution. Predictions from the system of equation are reasonable and compare well with observed distributions of the stand. This simplified mixture would allow for wider application in distribution modelling and can also be integrated as component model in stand density management diagram.

• 한국식품위생안전성학회지
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• 제27권3호
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• pp.312-316
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• 2012

본 연구는 국내에서 냉장보관창고 온도에 대한 조사를 수행하여, 온도분포를 추정하였고, 이를 미생물 위해평가의 입력변수로 활용할 수 있도록 적정 확률분포 모델을 제시하였다. 국내 냉장보관창고의 온도분포는 최저 $-3.2^{\circ}C$, 최대 $14.9^{\circ}C$, 평균 $2.55{\pm}3.55^{\circ}C$로 나타났고, $10^{\circ}C$이상 비율은 2.5%로 나타났으며, 대부분의 냉장창고 온도는 설정온도보다 높은 것으로 나타났다. 공간 위치별 온도분포는 상단(2.4~4 m) $0.8{\pm}1.69^{\circ}C$, 중단(1.5~2.4 m) $0.59{\pm}1.68^{\circ}C$, 하단(0.7~1.5 m) $0.65{\pm}1.46^{\circ}C$로 중단 온도가 가장 낮았으며, 위치별 온도차이는 최대 $1.11^{\circ}C$로 공간상에서 온도가 일정하게 유지되는 것이 아니라 어느 정도의 편차가 존재하는 것으로 나타났다. 이상의 수집된 온도자료는 @RISK 를 이용, 적합성 검정(GOF: K-S와 A-D test)을 수행하여, MRA에서 활용할 수 있는 국내 냉장창고 온도분포에 대한 가장 적합한 확률분포모델로 LogLogistic(-4.189, 5.9098, 3.2565)을 선정하였다.

• Communications for Statistical Applications and Methods
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• 제25권1호
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• pp.15-27
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• 2018

Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

• Communications for Statistical Applications and Methods
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• 제25권1호
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• pp.43-60
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• 2018

This paper considers the use of classical and Bayesian inference methods to analyze data generated by variables whose natural behavior can be modeled using asymmetric distributions in the presence of left censoring. Our approach used a $L{\grave{e}}vy$ distribution in the presence of left censored data and covariates. This distribution could be a good alternative to model data with asymmetric behavior in many applications as lifetime data for instance, especially in engineering applications and health research, when some observations are large in comparison to other ones and standard distributions commonly used to model asymmetry data like the exponential, Weibull or log-logistic are not appropriate to be fitted by the data. Inferences for the parameters of the proposed model under a classical inference approach are obtained using a maximum likelihood estimators (MLEs) approach and usual asymptotical normality for MLEs based on the Fisher information measure. Under a Bayesian approach, the posterior summaries of interest are obtained using standard Markov chain Monte Carlo simulation methods and available software like SAS. A numerical illustration is presented considering data of thyroglobulin levels present in a group of individuals with differentiated cancer of thyroid.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2019년도 학술발표회
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• pp.151-151
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• 2019

Because drought is a complex and stochastic phenomenon in nature, statistical approaches for drought assessment receive great attention for water resource planning and management. Generally drought characteristics such as severity, duration and intensity are modelled separately. This study aims to develop a relationship between drought characteristics using a bivariate copula model. To achieve the objective, we calculated the Standardized Precipitation Index (SPI) using rainfall data at 6 rain gauge stations for the period of 1961-1999 in Jehlum River Basin, Pakistan, and investigated the drought characteristics. Since there is a significant correlation between drought severity and duration, they are usually modeled using different marginal distributions and joint distribution function. Using exponential distribution for drought severity and log-logistic distribution for drought duration, the Galambos copula was recognized as best copula to model joint distribution of drought severity and duration based on the KS-statistic. Various return periods of drought were calculated to identify time interval of repeated drought events. The result of this study can provide useful information for effective water resource management and shows superiority against univariate drought analysis.

• Asian Pacific Journal of Cancer Prevention
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• 제15권22호
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• pp.9673-9678
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• 2014

Background: Breast cancer is a fatal disease and the most frequently diagnosed cancer in women with an increasing pattern worldwide. The burden is mostly attributed to metastatic cancers that occur in one-third of patients and the treatments are palliative. It is of great interest to determine factors affecting time from cancer diagnosis to secondary metastasis. Materials and Methods: Cure rate models assume a Poisson distribution for the number of unobservable metastatic-component cells that are completely deleted from the non-metastasis patient body but some may remain and result in metastasis. Time to metastasis is defined as a function of the number of these cells and the time for each cell to develop a detectable sign of metastasis. Covariates are introduced to the model via the rate of metastatic-component cells. We used non-mixture cure rate models with Weibull and log-logistic distributions in a Bayesian setting to assess the relationship between metastasis free survival and covariates. Results: The median of metastasis free survival was 76.9 months. Various models showed that from covariates in the study, lymph node involvement ratio and being progesterone receptor positive were significant, with an adverse and a beneficial effect on metastasis free survival, respectively. The estimated fraction of patients cured from metastasis was almost 48%. The Weibull model had a slightly better performance than log-logistic. Conclusions: Cure rate models are popular in survival studies and outperform other models under certain conditions. We explored the prognostic factors of metastatic breast cancer from a different viewpoint. In this study, metastasis sites were analyzed all together. Conducting similar studies in a larger sample of cancer patients as well as evaluating the prognostic value of covariates in metastasis to each site separately are recommended.

• Asian Pacific Journal of Cancer Prevention
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• 제16권17호
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• pp.7923-7927
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• 2015

Background: The Cox PH model is one of the most significant statistical models in studying survival of patients. But, in the case of patients with long-term survival, it may not be the most appropriate. In such cases, a cure rate model seems more suitable. The purpose of this study was to determine clinical factors associated with cure rate of patients with breast cancer. Materials and Methods: In order to find factors affecting cure rate (response), a non-mixed cure rate model with negative binomial distribution for latent variable was used. Variables selected were recurrence cancer, status for HER2, estrogen receptor (ER) and progesterone receptor (PR), size of tumor, grade of cancer, stage of cancer, type of surgery, age at the diagnosis time and number of removed positive lymph nodes. All analyses were performed using PROC MCMC processes in the SAS 9.2 program. Results: The mean (SD) age of patients was equal to 48.9 (11.1) months. For these patients, 1, 5 and 10-year survival rates were 95, 79 and 50 percent respectively. All of the mentioned variables were effective in cure fraction. Kaplan-Meier curve showed cure model's use competence. Conclusions: Unlike other variables, existence of ER and PR positivity will increase probability of cure in patients. In the present study, Weibull distribution was used for the purpose of analysing survival times. Model fitness with other distributions such as log-N and log-logistic and other distributions for latent variable is recommended.