• Title/Summary/Keyword: Weibull statistics

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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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Classification of Regional Types for Pinus densiflora stands Using Height-DBH Growth in Korea (우리나라 소나무림의 수고-흉고직경 생장에 따른 지역형 분류)

  • Park, Joon Hyung;Jung, Su Young;Lee, Kwang Soo;Kim, Chang Hwan;Park, Yong Bae;Yoo, Byung Oh
    • Journal of Korean Society of Forest Science
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    • v.105 no.3
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    • pp.336-341
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    • 2016
  • The object of this study was to classify the local types in relation to regional differences using Height-DBH growth of Pinus densiflora in Korea. The regional types were clustered according to Getis-Ord's $G_i$ among Local indicators of spatial association (LISA) by characteristics of spatial distribution which were calculated the residual of sample plots by fitting Height-DBH growth model using Weibull growth equation. Accordingly, Pinus densiflora were classified 3 groups, It indicated that annual precipitation had one of the biggest impacts among the considered site and climate factors. This results can become the standard for regional management of Pinus densiflora forests.

A Study on Bayesian Approach of Software Stochastic Reliability Superposition Model using General Order Statistics (일반 순서 통계량을 이용한 소프트웨어 신뢰확률 중첩모형에 관한 베이지안 접근에 관한 연구)

  • Lee, Byeong-Su;Kim, Hui-Cheol;Baek, Su-Gi;Jeong, Gwan-Hui;Yun, Ju-Yong
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2060-2071
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    • 1999
  • The complicate software failure system is defined to the superposition of the points of failure from several component point process. Because the likelihood function is difficulty in computing, we consider Gibbs sampler using iteration sampling based method. For each observed failure epoch, we applied to latent variables that indicates with component of the superposition mode. For model selection, we explored the posterior Bayesian criterion and the sum of relative errors for the comparison simple pattern with superposition model. A numerical example with NHPP simulated data set applies the thinning method proposed by Lewis and Shedler[25] is given, we consider Goel-Okumoto model and Weibull model with GOS, inference of parameter is studied. Using the posterior Bayesian criterion and the sum of relative errors, as we would expect, the superposition model is best on model under diffuse priors.

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A Study on Statistical Forecasting Models of PM10 in Pohang Region by the Variable Transformation (변수변환을 통한 포항지역 미세먼지의 통계적 예보모형에 관한 연구)

  • Lee, Yung-Seop;Kim, Hyun-Goo;Park, Jong-Seok;Kim, Hee-Kyung
    • Journal of Korean Society for Atmospheric Environment
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    • v.22 no.5
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    • pp.614-626
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    • 2006
  • Using the data of three environmental monitoring sites in Pohang area(KME112, KME113, and KME114), statistical forecasting models of the daily maximum and mean values of PM10 have been developed. Since the distributions of the daily maximum and mean PM10 values are skewed, which are similar to the Weibull distribution, these values were log-transformed to increase prediction accuracy by approximating the normal distribution. Three statistical forecasting models, which are regression, neural networks(NN) and support vector regression(SVR), were built using the log-transformed response variables, i.e., log(max(PM10)) or log(mean (PM10)). Also, the forecasting models were validated by the measure of RMSE, CORR, and IOA for the model comparison and accuracy. The improvement rate of IOA before and after the log-transformation in the daily maximum PM10 prediction was 12.7% for the regression and 22.5% for NN. In particular, 42.7% was improved for SVR method. In the case of the daily mean PM10 prediction, IOA value was improved by 5.1% for regression, 6.5% for NN, and 6.3% for SVR method. As a conclusion, SVR method was found to be performed better than the other methods in the point of the model accuracy and fitness views.

The Accelerated Life Test of 2.5 Inch Hard Disk In The Environment of PC using (PC 사용 환경의 2.5 인치 하드디스크의 가속 수명 시험)

  • Cho, Euy-Hyun;Park, Jeong-Kyu;Seo, Hui-Don
    • Journal of Digital Contents Society
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    • v.15 no.1
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    • pp.19-27
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    • 2014
  • In order to estimate the life of 2,5 inch HDD which is adopted by PC environment, make the test plan which reflect the failure mode of market, make the test model of accelerated life test which reflect the stress of temperature. after an analysis of the environment of PC using, test procedure was decided that operation was write 50 % and read 50 %, and then access method was sequential 50 % and random 50%. The acceleration life test was executed on condition that temperature was $50^{\circ}C$ and $60^{\circ}C$, performance was 95 % in max performance, test time was 1000 hours. by the test of goodness of fit of anderson-darling of the failure data during test, it was confirmed that the distribution of failure fellow weibull. test for shape and scale was equal, and shape parameter was 0.7177, characteristic life was 429434 hours at normal user condition($30^{\circ}C$) by the analysis of weibull-arrhenius modeling. It made no difference about the statistics when equality test was executed. The activation energy was 0.2775eV. In analyzing between the failure samples of acceleration test and the samples of market return even though there is detail difference about the share of failure mode, the rank of share was almost same. This study suggest the test procedure of acceleration test of 2.5 inch HDD in PC using environment, and help the life estimation at manufacture and user.

Developing statistical models and constructing clinical systems for analyzing semi-competing risks data produced from medicine, public heath, and epidemiology (의료, 보건, 역학 분야에서 생산되는 준경쟁적 위험자료를 분석하기 위한 통계적 모형의 개발과 임상분석시스템 구축을 위한 연구)

  • Kim, Jinheum
    • The Korean Journal of Applied Statistics
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    • v.33 no.4
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    • pp.379-393
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    • 2020
  • A terminal event such as death may censor an intermediate event such as relapse, but not vice versa in semi-competing risks data, which is often seen in medicine, public health, and epidemiology. We propose a Weibull regression model with a normal frailty to analyze semi-competing risks data when all three transition times of the illness-death model are possibly interval-censored. We construct the conditional likelihood separately depending on the types of subjects: still alive with or without the intermediate event, dead with or without the intermediate event, and dead with the intermediate event missing. Optimal parameter estimates are obtained from the iterative quasi-Newton algorithm after the marginalization of the full likelihood using the adaptive importance sampling. We illustrate the proposed method with extensive simulation studies and PAQUID (Personnes Agées Quid) data.

Compressive behavior of concrete under high strain rates after freeze-thaw cycles

  • Chen, Xudong;Chen, Chen;Liu, Zhiheng;Lu, Jun;Fan, Xiangqian
    • Computers and Concrete
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    • v.21 no.2
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    • pp.209-217
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    • 2018
  • The dynamic compressive behavior of concrete after freezing and thawing tests are investigated by using the split Hopkinson pressure bar (SHPB) technique. The stress-strain curves of concrete under dynamic loading are measured and analyzed. The setting numbers of freeze-thaw cycles are 0, 25, 50, and 75 cycles. Test results show that the dynamic strength decreases and peak strain increases with the increasing of freeze-thaw cycles. Based on the Weibull distribution model, statistical damage constitutive model for dynamic stress-strain response of concrete after freeze-thaw cycles was proposed. At last, the fragmentation test of concrete subjected to dynamic loading and freeze-thaw cycles is carried out using sieving statistics. The distributions of the fragment sizes are analyzed based on fractal theory. The fractal dimensions of concrete increase with the increasing of both freeze-thaw cycle and strain rate. The relations among the fractal dimension, strain rates and freeze-thawing cycles are developed.

Joint Modeling of Death Times and Counts Considering a Marginal Frailty Model (공변량을 포함한 사망시간과 치료횟수의 모형화를 위한 주변환경효과모형의 적용)

  • Park, Hee-Chang;Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.311-322
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    • 1998
  • In this paper the problem of modeling count data where the observation period is determined by the survival time of the individual under study is considered. We assume marginal frailty model in the counts. We assume that the death times follow a Weibull distribution with a rate that depends on some covariates. For the counts, given a frailty, a Poisson process is assumed with the intensity depending on time and the covariates. A gamma model is assumed for the frailty. Maximum likelihood estimators of the model parameters are obtained. The model is applied to data set of patients with breast cancer who received a bone marrow transplant. A model for the time to death and the number of supportive transfusions a patient received is constructed and consequences of the model are examined.

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Maintenance Policy Based on Cost and Downtime Following the Expiration of Combination Warranty (혼합보증이 종료된 이후의 비용과 비가동시간에 근거한 보전정책)

  • Jung, Ki-Mun
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.909-923
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    • 2008
  • This paper considers the replacement model and the preventive maintenance model following the expiration of combination warranty for a repairable system. If the system fails after the combination warranty is expired, then it is minimally repaired at each failure. The criterion used to determine the optimal replacement policy and the optimal preventive maintenance policy is the overall value function based on the expected cost rate per unit time and the expected downtime per unit time. The numerical examples are presented for illustrative purpose when the failure time follows a Weibull distribution.

Reliability Assessment Criteria of Module for the LED traffic signal (LED 교통신호등용 모듈의 신뢰성평가기준)

  • Kim, Jin-Sheon;Park, Chang-Kyu;Kim, Dae-Kyung;Jeong, Hai-Sung
    • Journal of Applied Reliability
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    • v.10 no.4
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    • pp.265-278
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    • 2010
  • Module of the LED traffic signal is the core component for the care of driver and walker. Also it is important one to control the traffic. If it is against the criteria of brightness, it is the source of the people's death and traffic congestion. Therefore, it is a list of articles desired the security of stability. However, there is not the analysis of failure and not preserve the uniformity of quality. Therefore, it is necessary to establish the criteria of appreciation for the module of the LED traffic signal to analysis the data of failure. In this paper, we investigate the performance test, environment field test and test of reliability appreciation to improve the reliability. We also set up the criteria of success decision using the real measurement data.