• 제목/요약/키워드: Residual survival function

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임의중단자료에서의 조건부 평균잔여수명함수 추정 (Estimation of conditional mean residual life function with random censored data)

  • 이원기;송명언;정성화
    • Journal of the Korean Data and Information Science Society
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    • 제22권1호
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    • pp.89-97
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    • 2011
  • 본 연구에서는 Buckley와 James의 방법을 이용하여 중도절단된 자료를 보완한 조건부생존함수 추정량으로부터 조건부평균잔여수명함수를 추정하는 방법을 제안하고, 모의실험을 통하여 제안된 방법의 효율성을 평가하였다. 모의실험 결과 비례위험모형이 아닌 경우 제안된 방법으로 추정한 조건부 평균잔여수명함수의 평균제곱오차가 Cox모형이나 Beran의 비모수적 방법을 이용하여 구한 추정치의 평균제곱오차보다 작게 나타났으며, 비례위험모형인 경우에는 제안된 방법으로 추정한 결과들이 Cox 모형을 이용하여 얻은 결과들과 비슷하게 나타났다. 또한 K대학교병원 외과에서 위암 수술을 받은 1,192명의 환자 자료를 이용하여 제안된 방법의 임상적 적용의 적절성을 평가하였다.

Estimation of Mean Residual Life under Random Censorship Model Using Partial Moment Approximation

  • Park, Byung Gu;Lee, Jae Man;Cha, Young Joon
    • 품질경영학회지
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    • 제22권3호
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    • pp.111-118
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    • 1994
  • In this paper we propose a parametric and a nonparametric small sample estimators for the mean residual life (MRL) under the random censorship model using the partial moment approximation. We also compare the proposed nonparametric estimator with the well-known nonparametric MRL estimator based on Kaplan-Meier estimator of the survival function, and present the efficiency of the nonparametric method relative to the Weibull model for small samples.

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Retrospective Clinical Study on Flapless Implant Placement

  • Kim, Jong-Hee;Kim, Young-Kyun;Yi, Yang-Jin
    • Journal of Korean Dental Science
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    • 제5권2호
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    • pp.54-59
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    • 2012
  • Purpose: The purpose of this study was to evaluate the prognosis (clinical outcomes) of one-stage flapless implant surgery based on success and survival rate and marginal alveolar bone loss. Materials and Methods: Ninety dental implants were placed according flapless surgical procedure in forty-one patients at Hospital between April 2004 and May 2009. The mean age of the patients was 54, and the patients were comprised of 24 men and 17 women. Each patient was investigated radiographically and clinically being with average follow up 49.7 period. Result: Average healing period is 4.45 month (maxilla: 5.31 month, mandible: 3.20 month) after installation and survival rate is 95.7% in this period. The survival rate and success rate at 1 year after function (prosthodontics setting) are 92.4% and 88.0%. At final observation, the survival rate and success rate are 90.2% (maxilla: 89.1%, mandible: 92.9%) and 84.8% (maxilla: 82.8%, mandible: 89.3%). The mean residual alveolar bone resorption at 1-year after function and final observation are 0.8 mm and 1.07 mm. Conclusion: Our study suggest that if appropriate surgical technique with proper patients selection, flapless implants surgery is predictable simple and safety technique.

A Vtub-Shaped Hazard Rate Function with Applications to System Safety

  • Pham, Hoang
    • International Journal of Reliability and Applications
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    • 제3권1호
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    • pp.1-16
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    • 2002
  • In reliability engineering, the bathtub-shaped hazard rates play an important role in survival analysis and many other applications as well. For the bathtub-shaped, initially the hazard rate decreases from a relatively high value due to manufacturing defects or infant mortality to a relatively stable middle useful life value and then slowly increases with the onset of old age or wear out. In this paper, we present a new two-parameter lifetime distribution function, called the Loglog distribution, with Vtub-shaped hazard rate function. We illustrate the usefulness of the new Vtub-shaped hazard rate function by evaluating the reliability of several helicopter parts based on the data obtained in the maintenance malfunction information reporting system database collected from October 1995 to September 1999. We develop the S-Plus add-in software tool, called Reliability and Safety Assessment (RSA), to calculate reliability measures include mean time to failure, mean residual function, and confidence Intervals of the two helicopter critical parts. We use the mean squared error to compare relative goodness of fit test of the distribution models include normal, lognormal, and Weibull within the two data sets. This research indicates that the result of the new Vtub-shaped hazard rate function is worth the extra function-complexity for a better relative fit. More application in broader validation of this conclusion is needed using other data sets for reliability modeling in a general industrial setting.

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임의절단 하에서 신뢰성 자료의 평균잔여수명 추정에 대한 연구 (The Study on the Mean Residual Life Estimation of Reliability Data under Random Censoring)

  • 이미숙
    • 한국산학기술학회논문지
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    • 제11권6호
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    • pp.1997-2003
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    • 2010
  • 평균잔여수명은 공학, 의학, 생존분석, 사회과학 등 많은 분야에서 중요한 역할을 하고 있다. 특히 시스템의 신뢰성연구에서 시스템의 갑작스런 중지는 심각한 문제를 초래하기 때문에, 부품에 대한 평균잔여수명 추정은 매우 중요하다. 그래서 많은 상황변수를 고려한 시뮬레이션 연구가 되어왔다. 본 연구에서는 임의절단(random censoring) 에서 가지 평균잔여수명 추정기법을 소개하고 3가지 와이블 수명분포와 6가지 절단분포의 조합에서 시뮬레이션하였다. 또한 이들의 성과를 편의(bias)와 MSE측면에서 비교 분석하였다.

A Study on the Trend Change Point of NBUE-property

  • Kim, Dae-Kyung
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.275-282
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    • 1996
  • A life distribution F with survival function $\overline{F}$=1-F, finite mean $\mu$ and mean residual life m(t) is said to be NBUE(NWUE) if m(t)$\leq$($\geq$) .$\mu$ for t$\geq$0. This NBUE property can equivalently be characterized by the fact that $\varphi$(u)$\geq$($\leq$)u for 0$\leq$u$\leq$1, where $\varphi$(u) is the scaled total-time-on test transform of F. A generalization of the NBUE properties is that there is a value of p such that $\varphi$(u)\geq.u$ for 0$\leq$u$\leq$p and $\varphi$(u)\leq$$\leq$u$\leq$1, or vice versa. This means that we have a trend change in the NBUE property. In this paper we point out an error of Klefsjo's paper (1988). He erroneously takes advantage of trend change point of failure rate to calculate the empirical test size and power in lognormal distribution. We solves the trend change point of mean residual lifetime and recalculate the empirical test size and power of Klefsjo (1988) in mocensoring case.

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Clinical and radiographic evaluations of implants as surveyed crowns for Class I removable partial dentures: A retrospective study

  • Yoo, Soo-Yeon;Kim, Seong-Kyun;Heo, Seong-Joo;Koak, Jai-Young
    • The Journal of Advanced Prosthodontics
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    • 제14권2호
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    • pp.108-121
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    • 2022
  • PURPOSE. The purpose of this study was to evaluate survival rates and marginal bone loss (MBL) of implants in IC-RPDs. MATERIALS AND METHODS. Seventy implants were placed and used as surveyed crowns in 30 RPDs. The survival rates and MBL around implants based on multiple variables, e.g., position, sex, age, opposing dentitions, splinting, type of used retainer, and first year bone loss, were analyzed. Patient reported outcome measures (PROMs) regarding functional/esthetic improvement after IC-RPD treatment, and complications were also inspected. RESULTS. The 100% implant survival rates were observed, and 60 of those implants showed MBL levels less than 1.5 mm. No significant differences in MBL of implants were observed between implant positions (maxilla vs. mandible; P = .341) and type of used retainers (P = .630). The implant MBL of greater than 0.5 mm at 1 year showed significantly higher MBL after that (P < .001). Splinted implant surveyed crowns showed lower MBL in the maxilla (splinted vs. non-splinted; P = .037). There were significant esthetic/functional improvements observed after treatment, but there were no significant differences in esthetic results based on implant position (maxilla vs. mandible). Implants in mandible showed significantly greater improvement in function than implants in the maxilla (P = .002). Prosthetic complication of IC-RPD was not observed frequently. However, 2 abutment teeth among 60 were failed. The bone loss of abutment teeth was lower than MBL of implants in IC-RPDs (P = .001). CONCLUSION. Class I RPD connected to residual teeth and strategically positioned implants as surveyed crowns can be a viable treatment modality.

Fallot 4징 교정수술후의 생존 및 문제점 (Survival and Problems after Repair of Tetralogy of Fallot)

  • 손세정;한재진;이영탁;김성호
    • Journal of Chest Surgery
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    • 제32권3호
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    • pp.237-248
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    • 1999
  • 배경: Fallot 4징 (TOF) 교정수술후의 장기 추적 결과는 대부분의 환자에서 양호한 편이지만 일부에서는 재수술이 필요하거나 또는 사망하는 경우도 있다. 지난 13년간의 TOF 교정수술에 대한 수술후의 생존 및 문제점과 이로 인한 재수술 등을 중심으로 수술후의 결과를 살펴보고자 하였다. 대상 및 방법: 1983년부터 1995년까지 부천세종병원에서 교정수술을 받은 775명의 TOF 환자들중 임상적 관찰이 가능했던 569명을 대상으로 임상기록과 여러가지 검사소견을 후향적으로 조사하였다. 결과: 대상환자 569명중 조기사망자 (수술후 1개월이내의 사망)는 28명 (4.9%)으로 그중 1세 이하는 12명 (42.9%)이었고 그들의 수술 사망률은 15.4%였다. 조기사망자를 제외한 541명 (2.8개월에서 43.4세, 중앙값 23개월)을 1개월에서 12.6년 (중앙값 35개월)동안 추적관찰을 하였다. 수술후 기능상태 및 우심실 기능은 대부분의 환자에서 양호하였다. 우심방-폐동맥을 통한 교정술과 우심실을 통한 교정술을 비교했을 때 의미있는 폐동맥 폐쇄부전 (P<0.001)과 우심실 기능부전의 빈도 (P<0.05)는 전자에서 더 낮았다. 10명 (1.8%)이 추적관찰중에 사망하였고 그중 6명의 사망은 재수술 또는 심실 기능부전과 직접적인 관련이 있었다. 10년 생존률은 96.7%였다. 재수술은 39명 (7.2%)에서 44회 (8.1%) 시행하였고, 재수술의 주요원인은 잔존 심실중격결손 (n=6), 폐동맥 협착 (n=11), 심실중격결손과 폐동맥 협착 (n=17), 폐동맥 폐쇄부전 (n=7) 및 삼첨판 폐쇄부전 (n=2)이었다. 재수술의 수술 사망률은 10.3%였고, 5년 및 10년 재수술이 없을 확률은 각각 89.4% 및 76.1%였다. 결론: TOF 교정수술후 대부분의 환자는 높은 생존률을 보이고 임상적으로도 양호한 편을 보이지만 약 7%의 환자에서는 재수술을 요하는 등의 문제를 가지고 있게 된다. 따라서, 적절한 수술시기를 결정하여 세심한 교정수술을 함으로써 가능한 한 재수술이 필요없도록 하고, 또한 유병률 및 장기 생존에 영향을 주는 교정수술후의 문제들을 조기발견하기 위해 지속적인 추적관찰이 필요하리라 생각된다.

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원전 디지털 I&C 계통 고장예측을 위한 신뢰도 함수 추정 인공지능 모델 비교연구 (Comparative Study of AI Models for Reliability Function Estimation in NPP Digital I&C System Failure Prediction)

  • 이대영;이정훈;양승혁
    • 한국산업정보학회논문지
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    • 제28권6호
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    • pp.1-10
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    • 2023
  • 원전 계측제어계통은 정상운전 시 자가 진단기능의 유지보수를 위해 일정 주기로 건전성을 확인하고 있으며, 계획예방정비 기간 동안 기능 및 성능점검을 실시하여 필요한 경우 유지보수를 하고 있다. 하지만 원전의 정보를 계측하고 제어하는 계측제어계통에서도 선제적으로 고장을 진단하고 대처하여 사고전파를 방지할 수 있는 기술개발이 필요하다. 이에 본 논문에서는 계측제어 장비의 환경조건과 자가 진단 데이터를 활용한 신뢰도 함수 추정 방안을 연구하였으며, 고장데이터의 획득을 위해 계측제어 장비의 부품에 대한 Feature 별 확률분포를 가정하여 가상 고장데이터를 생산하였다. 이러한 고장데이터를 바탕으로 생존분석에서 활용되는 대표적인 인공지능 모델(DeepSurve, DeepHit)을 이용하여 신뢰도 함수를 추정하였고, 그와 동시에 전통적인 준모수적 방법론인 Cox 회귀모델을 통해 신뢰도 함수를 추정하여 환경조건과 진단 데이터를 바탕으로 한 잔여 수명 계산을 통해 적용 가능성을 확인하였다.

로이적응모델의 가족건강사정에의 적용가능성 (Feasibility of Application of Roy's Adaptation Model to Family Health Assessment)

  • 장선옥
    • 한국보건간호학회지
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    • 제8권2호
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    • pp.35-56
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    • 1994
  • This article was intended to survey whether Roy' Adapation model ('Roy Model') can be applied to family health assessment and to study whether application of the Roy Model to a Korean family is feasible. under the Roy Model, a family is viewed as an adaptation system having a series of process of input. process, feedback, and output. Further, the Roy Model indicates that a family contains Physiolosical, self-concept. role function and interdependent mode in respect of internal or external stimuli. In the event where the family health assessed, the adaptation mode of that family must be assess at the first stage. Then, the focal, contextual, residual stimuli affecting the family must be assessed. In 1984 Hanson suggested four types of family adaptation mode based upon the Roy Model and thereby enhanced the possibility for family health assessment. In order survey whether the Roy Model can be applied to the Korean family, the author of this article contracted adults of 169 who live in 'A' city to make open questions regarding family and then analyzed responses from them by utilizing Roy model. This study categorized family Adaptation mode based upon the' four types of family adaptation mode developed by Hanson. As a result of this study, family adaptation mode was categorized into 117 concepts. Those 117 concepts are consisted or Physiolosical mode of 47. self­concept mode of 56, role function mode of 9 and interdependent mode of 5. Further. stimuli affecting family were classified based upon Roy's definition as to three types of stimuli. Stimuli on a family are comprised focal stimuli concept of 19, contextual stimuli concepts of 19, one residual stimuli concept. this result implies that the Roy's Model can be applied to Korean family. Physiological mode shows meaning of survival. while self-concept mode reflects meaning of growth and emphasizes harmony among the family based on the familism. The role function mode shows continuity rather control of family member. By contrast, interdependent mode shows interaction with community to which the family belongs. but the degree of interaction does not appear too high. The analysis of family stimuli led this study to conclude that troubles within a family. changes in family structure and diease of family member generate stimuli. However, an application of the Roy Model contains the following problems: First, Roy argued that the family adaptation mode should be assessed at the first level family health assessment and then stimuli affecting family adaptation should be adaptation assessed at the second stage. To the belief of the author of this article. however, for checking family adaptation level. focal, contextual, residual stimuli should be confirmed by assessing stimuli at first stage. Then, the family adaptation mode in respect of such stimuli should be assessed. The rationale for this is that the family adaptation level is determined depending on degree of strength of focal. contextual. residual stimuli. Second. Whall (1991) raised a question 'Does one assess family adaptation mode and intervene in the stimuli?' 'Likewise, assessment of the family adaptation should be made in the following manner in order for family health to be enhanced. Third. Roy believes that additional stimuli (such as contextual and residual) are same as internal process (including nurturance. support, and socialization). However, the basis for this Roy's belief is not too clear. In spite of these problems which the author indicated above, it can be concluded that the Roy Model can serve as a good device for an assessment of family health and that the Roy Model can be applied to a Korean family. Finally, further research of family adaptation theory and family nursing theory is required for a development of these theories.

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