• Title/Summary/Keyword: Hazard-rate model

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Comparison between Parametric and Semi-parametric Cox Models in Modeling Transition Rates of a Multi-state Model: Application in Patients with Gastric Cancer Undergoing Surgery at the Iran Cancer Institute

  • Zare, Ali;Mahmoodi, Mahmood;Mohammad, Kazem;Zeraati, Hojjat;Hosseini, Mostafa;Naieni, Kourosh Holakouie
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.11
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    • pp.6751-6755
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    • 2013
  • Background: Research on cancers with a high rate of mortality such as those occurring in the stomach requires using models which can provide a closer examination of disease processes and provide researchers with more accurate data. Various models have been designed based on this issue and the present study aimed at evaluating such models. Materials and Methods: Data from 330 patients with gastric cancer undergoing surgery at Iran Cancer Institute from 1995 to 1999 were analyzed. Cox-Snell Residuals and Akaike Information Criterion were used to compare parametric and semi-parametric Cox models in modeling transition rates among different states of a multi-state model. R 2.15.1 software was used for all data analyses. Results: Analysis of Cox-Snell Residuals and Akaike Information Criterion for all probable transitions among different states revealed that parametric models represented a better fitness. Log-logistic, Gompertz and Log-normal models were good choices for modeling transition rate for relapse hazard (state $1{\rightarrow}state$ 2), death hazard without a relapse (state $1{\rightarrow}state$ 3) and death hazard with a relapse (state $2{\rightarrow}state$ 3), respectively. Conclusions: Although the semi-parametric Cox model is often used by most cancer researchers in modeling transition rates of multistate models, parametric models in similar situations- as they do not need proportional hazards assumption and consider a specific statistical distribution for time to occurrence of next state in case this assumption is not made - are more credible alternatives.

Duration Dependence in the Exit Rate from National Basic Livelihood Protection Program (국민기초생활보장제도 수급탈출의 기간의존성)

  • Lee, Won-Jin
    • Korean Journal of Social Welfare
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    • v.63 no.4
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    • pp.83-107
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    • 2011
  • This study examines the duration dependence in the exit rate from National Basic Livelihood Protection Program(NBLP). If the length of time on welfare is negatively correlated with the exit rate after controlling for 'unobserved heterogeneity', the observed declining exit rates would provide evidence of true duration dependence. Data are drawn from Korean Welfare Panel study 2005~2008. A variety of discrete-time hazard models are estimated, including parametric/nonparametric hazard model, gamma frailty hazard model/mass point technique model. It is found that welfare dynamics in Korea does not show strong evidence of duration dependence after controlling for unobserved heterogeneity. All the models estimated show that this finding is quite robust. The observed declining exit rate is largely due to differences in the unobservable characteristics of recipients. Thus, the detrimental effect of the welfare on the preference and attitude among recipients is not likely to be strengthened as time on welfare increases.

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The Study of Infinite NHPP Software Reliability Model from the Intercept Parameter using Linear Hazard Rate Distribution (선형위험률분포의 절편모수에 근거한 무한고장 NHPP 소프트웨어 신뢰모형에 관한 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.9 no.3
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    • pp.278-284
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    • 2016
  • Software reliability in the software development process is an important issue. In infinite failure NHPP software reliability models, the fault occurrence rates may have constant, monotonic increasing or monotonic decreasing pattern. In this paper, infinite failures NHPP models that the situation was reflected for the fault occurs in the repair time, were presented about comparing property. Commonly, the software model of the infinite failures using the linear hazard rate distribution software reliability based on intercept parameter was used in business economics and actuarial modeling, was presented for comparison problem. The result is that a relatively large intercept parameter was appeared effectively form. The parameters estimation using maximum likelihood estimation was conducted and model selection was performed using the mean square error and the coefficient of determination. The linear hazard rate distribution model is also efficient in terms of reliability because it (the coefficient of determination is 90% or more) in the field of the conventional model can be used as an alternative model could be confirmed. From this paper, the software developers have to consider intercept parameter of life distribution by prior knowledge of the software to identify failure modes which can be able to help.

Study on the determinants of employment duration in the youth-intern project (중소기업 청년인턴 취업자의 재직기간 분석)

  • Park, Sungik;Ryu, Jangsoo;Kim, Jonghan;Cho, Jangsik
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.285-294
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    • 2016
  • In general, employment duration is influenced by the individual characteristics (level-1) as well as type of the occupational characteristics (level-2). That is, the data has hierarchical structure in the sense that individual employment duration is influenced by the individual-level variables (level-1) and the job-level (level-2) variables. In this paper, we study the determinants of the employment duration of youth-intern in the SMEs (small and medium enterprises) using Cox's mixed effect model. Major results at level-1 variables are as followings. First, the hazard rate of treatment group is lower than that of control group. Second, the hazard rate of woman is lower than that of man. Also, the hazard rate is lower, for the older and the workers working in the bigger company. Investigation of level-2 variables has shown that random effect for job-level is statistically significant.

Statistical Model for Typhoon-Induced Rainfall around Korean Peninsular (한반도의 태풍 동반 강우의 통계적 모형)

  • Ku, Hye-Yun;Lee, Sung-Su;Lee, Young-Kyu
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.5
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    • pp.45-51
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    • 2008
  • Due to recent increases of typhoon damages primarily owing to heavy rainfall and stron wind, estimation and analysis of a typhoon's influence has become more important. In this perspective, the statistical models to estimate the rainfall rate during a typhoon were presented in this paper. Central pressure of the typhoon is modeled to be the primary parameter affecting typhoon rainfall rate while relative angle and distance between the center of typhoon and the specific location for observation are secondary variables. Comparisons between the estimated rainfall rate of these models and the observed value in the duration of Typhoon NARI(2007) were analyzed to confirm the availability of these models. The result shows that the present statistical models can estimate typhoon-induced rainfall around Korean Peninsular to some extent.

A Study on the Conditional Survival Function with Random Censored Data

  • Lee, Won-Kee;Song, Myung-Unn
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.405-411
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    • 2004
  • In the analysis of cancer data, it is important to make inferences of survival function and to assess the effects of covariates. Cox's proportional hazard model(PHM) and Beran's nonparametric method are generally used to estimate the survival function with covariates. We adjusted the incomplete survival time using the Buckley and James's(1979) pseudo random variables, and then proposed the estimator for the conditional survival function. Also, we carried out the simulation studies to compare the performances of the proposed method.

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The Calculation of Seawater Exchange Rate in a Port by Numerical Analysis (수치해석을 이용한 항만의 해수교환율 산정)

  • Kim, Hyung-Jun;Kang, Gyu-Young;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.237-240
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    • 2008
  • Numerical Analysis for exchanging seawater experiment is carried out in Do-Jang fish port. The change of tidal velocity and water level is derived by the two-dimensional nonlinear shallow-water numerical model. To calculate exchange rate of seawater with the change of tidal velocity and water level, a two-dimensional numerical model is employed which governing equations are Fokker-Plank equations. The calculated exchange rates of each time are described in tables and figures.

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Factors Affecting on the Unemployment Hazard Rate of the People with Disabilities (장애인의 실업탈출 결정요인에 관한 연구)

  • Nam, Jeong Hwi;Choi, Young
    • 재활복지
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    • v.17 no.4
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    • pp.127-149
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    • 2013
  • This study analyzed the hazard of unemployment and the influencing factors on the rate. Data came from the Panel Survey of Employment for the Disabled(PSED), 2010-2012, which is a longitudinal survey for 5,092 disabled people in Korea. For the main purpose of this study, the life-table method was used for describing the patterns of unemployment duration by disabled, and the cox proportional hazard model was used to identify significant factors on the unemployment duration. The results were as follows. First, according to the life table analysis, the unemployment rate to remain until the longest period of unemployment(25month) is 90.5%, and the rate of entry into the labor market was only 9.5%. Overall, the unemployment maintenance rate was high, the unemployment escape rate decreased after 12month. Second, looking at the results from the cox proportional hazards model, the unemployment escape possibility were increased for those who are male, are non-public benefit recipient with disability, have mild disability, and have less discrimination experiences. With these results, disability discrimination act which can reduce the disability discrimination in employment site should be strengthened. Also, the scheme of Nation Basic Protection Program should be modified to attract the employment of recipients with disability. Finally, policy targets having employment escape difficulty, such as women with disability, people with severe disabilities should be departmentalized. And employment service is provided in accord with the individual needs and characteristics.

Analysis of bivariate recurrent event data with zero inflation

  • Kim, Taeun;Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • v.27 no.1
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    • pp.37-46
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    • 2020
  • Recurrent event data frequently occur in clinical studies, demography, engineering reliability and so on (Cook and Lawless, The Statistical Analysis of Recurrent Events, Springer, 2007). Sometimes, two or more different but related type of recurrent events may occur simultaneously. In this study, our interest is to estimate the covariate effect on bivariate recurrent event times with zero inflations. Such zero inflation can be related with susceptibility. In the context of bivariate recurrent event data, furthermore, such susceptibilities may be different according to the type of event. We propose a joint model including both two intensity functions and two cure rate functions. Bivariate frailty effects are adopted to model the correlation between recurrent events. Parameter estimates are obtained by maximizing the likelihood derived under a piecewise constant hazard assumption. According to simulation results, the proposed method brings unbiased estimates while the model ignoring cure rate models gives underestimated covariate effects and overestimated variance estimates. We apply the proposed method to a set of bivariate recurrent infection data in a study of child patients with leukemia.

Bayesian Method for Sequential Preventive Maintenance Policy

  • Kim Hee Soo;Kwon Young Sub;Park Dong Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2005.06a
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    • pp.131-137
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    • 2005
  • In this paper, we propose a Bayesian approach to determine the adaptive preventive maintenance(PM) policy for a general sequential imperfect PM model proposed by Lin, Zuo and Yam(2000) that PM not only reduces the effective age of the system but also changes the hazard rate function. Assuming that the failure times follow Weibull distribution, we adopt a Bayesian approach to update unknown parameters and determine the Bayesian optimal sequential PM policies. Finally, numerical examples of the optimal adaptive PM policy are presented for illustrative purposes.

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