• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2000년도 추계학술발표논문집
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• pp.39-52
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• 2000

This paper is concerned with the method of estimating lifetime distribution for field data in warranty period and for a situation where some additional field data can be gathered after the warranty period. Implementing the proposed methods in this paper will result in obtaining the more precise product life time estimation and product improvement.

• 한국해안·해양공학회논문집
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• 제34권2호
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• pp.37-45
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• 2022

경사제의 평균 잔류수명을 간편하게 추정할 수 있는 방법을 제시하였다. 누적피해의 시간 이력 자료를 기반으로 하는 추계학적 확률모형과 다르게 내구수명의 분포함수를 이용하여 평균 잔류수명을 추정하는 방법이다. 설계 내구수명과 과거 하중이력에 따라 전문가들이 판단한 내구수명의 상한치와 하한치 그리고 그 발생 가능성을 활용하여 분포함수의 모수도 쉽게 추정할 수 있다. 본 연구에서 제시된 간편법을 전면이 TTP로 피복된 경사제에 적용하였다. TTP 피복재의 시간에 따른 누적피해에 대한 모형실험 자료가 있는 동일 조건에 대하여 WP(Wiener Process) 기반의 추계학적 확률모형도 MCS(Monte-Carlo Simulation) 기법과 함께 적용하였다. 각각의 해석 방법으로부터 얻어진 결과들을 MTTF(Mean Time To Failure)와 함께 비교하여, 실제 발생 가능한 시간에 따른 모든 형태의 피해경로에 대하여 경사제의 내구수명 분포함수는 대수정규분포를 따른다는 것을 알 수 있었다. 마지막으로 본 연구에서 제시된 간편법으로 추정된 경사제의 재령에 따른 평균 잔류수명을 WP 기반 추계학적 확률모형의 결과와 비교하였다. 일정한 재령까지는 누적피해의 증가 형태와 관계없이 비교적 잘 일치하였으나, MTTF 근방의 재령에서는 선형적인 증가와 대수적인 증가 형태에서 어느 정도 차이를 보이고 있다. 따라서 불확실성을 올바로 고려하기 위해서는 추계학적 확률모형을 사용하는 것이 바람직하지만, 본 연구에서 제시한 간편법은 누적피해에 대한 시간 이력 자료를 필요로 하지 않기 때문에 항만 구조물에 대하여 평균 잔류수명 기반의 예방적 유지관리를 신속하게 계획할 필요성이 있는 경우에 유용하게 활용될 수 있다.

• Computers and Concrete
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• 제10권2호
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• pp.121-133
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• 2012

Structures suffer from damages in their lifetime due to time-dependant effects, such as fatigue, creep and shrinkage, which can be expressed by concrete strains. These processes could be seen in the context of strain estimation of pre-stressed structures in two phases by using numerical methods. Their aim is checking and validating existing code procedures in determination of deformations of pre-tensioned girders by solving a system of nonlinear equations with strains as unknown parameters. This paper presents an approach based on the Newton-Raphson method for obtaining the stresses and strains in middle span section of pre-stressed girders according the equilibrium state.

• International Journal of Reliability and Applications
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• 제16권2호
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• pp.81-98
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• 2015

The Exponentiated Gamma (EG) distribution is one of the important families of distributions in lifetime tests. In this paper, a new generalized version of this distribution which is called kumaraswamy Exponentiated Gamma (KEG) distribution is introduced. A new distribution is more flexible and has some interesting properties. A comprehensive mathematical treatment of the KEG distribution is provided. We derive the $r^{th}$ moment and moment generating function of this distribution. Moreover, we discuss the maximum likelihood estimation of the distribution parameters. Finally, an application to real data sets is illustrated.

• Journal of the Korean Data and Information Science Society
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• 제21권4호
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• pp.813-818
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• 2010

The least squares estimation method for model parameters under failure step-stress accelerated life tests is studied and a numerical example will be given to illustrate the proposed inferential procedures under the compound linear plans proposed as an alternative to the optimal quadratic plan, assuming that the exponential distribution with a quadratic relationship between stress and log-mean lifetime. The proposed compound linear plan for constant stress accelerated life tests and 4:2:1 plan are compared for various situations. Even though the compound linear plan was proposed under constant stress accelerated life tests, we found that this plan did well relatively in failure step-stress accelerated life tests.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2010년도 하계학술대회 논문집
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• pp.94-94
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• 2010

The result was estimated on the fractal characteristics as possibilities of identification of manufacture state for long period stabilities. At the second, the dangerous area was easily found to the recurrent phenomena of FD output. However, such area is very difficult to analysis of mechanism and to predict the lifetime in present state, it is possible to discriminate by means of data accumulation.

• 품질경영학회지
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• 제22권4호
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• pp.59-78
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• 1994

In some observational studies, we have often random censoring model. However, the data available may be partially observable censored data consisting of the observed failure times and only those nonfailure times which are subject to follow up. In this paper, we present an extension of the problem of partially parametric estimation of the survival function to such partially observable censored data. The proposed estimator treats the observed failure times nonparametrically and uses a parametric model only for those nonfailure times which are subject to follow-up. We discuss the motivation and construction of the proposed estimator and investigate the limiting properties of the proposed estimator such as asymptotic normality. Also, when the assumed parametric model is exponential, the asymptotic variance of the estimator is obtained. Furthermore, an example is given to compare the proposed estimator with the modified Kaplan Meier(MKM) estimator. From the results, it is shown that the relative efficiency of the proposed estimator is higher than that of the MKM estimator in the follow-up study with increasing time.

• Communications for Statistical Applications and Methods
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• 제18권1호
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• pp.103-110
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• 2011

Exponential distribution is widely adopted as a lifetime model. Many authors have considered the interval estimation of the parameters of two-parameter exponential distribution based on complete and censored samples. In this paper, we consider the interval estimation of the location and scale parameters and the joint confidence region of the parameters of two-parameter exponential distribution based on upper records. A simulation study is done for the performance of all proposed confidence intervals and regions. We also propose the predictive intervals of the future records. Finally, a numerical example is given to illustrate the proposed methods.

• Communications for Statistical Applications and Methods
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• 제24권1호
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• pp.29-41
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• 2017

The estimation problem of expected time to failure of units is studied in a discrete set up. A simple step-stress accelerated life testing is considered with a Type-I censored sample from geometric distribution that is a commonly used distribution to model the lifetime of a device in discrete case. Maximum likelihood estimators as well as the associated distributions are derived. Exact, approximate and bootstrap approaches construct confidence intervals that are compared via a simulation study. Optimal confidence intervals are suggested in view of the expected width and coverage probability criteria. An illustrative example is also presented to explain the results of the paper. Finally, some conclusions are stated.

• Journal of the Korean Data and Information Science Society
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• 제25권3호
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• pp.633-641
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• 2014

The exponential distibution is one of the most popular distributions in analyzing the lifetime data. In this paper, we propose multiply Type I hybrid censoring. And this paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply Type I hybrid censoring. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types ($AMLE_I$, $AMLE_{II}$). We also obtain the maximum likelihood estimator (MLE) of the scale parameter ${\sigma}$ under the proposed multiply Type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The $AMLE_{II}$ is better than $AMLE_I$ in the sense of the RMSE.