• Title/Summary/Keyword: Mean Residual Life

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A Study on the Test of Mean Residual Life with Random Censored Sample (임의 절단된 자료의 평균잔여수명 검정에 관한 연구)

  • 김재주;이경원;나명환
    • Journal of Korean Society for Quality Management
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    • v.25 no.3
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    • pp.11-21
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    • 1997
  • The mean residual life(MRL) function gives the expected remaining life of a item at age t. In particular F is said to be an increasing intially then decreasing MRL(IDMRL) distribution if there exists a turing point $t^*\ge0$ such that m(s)$\le$ m(t) for 0$$\le s$\le$ t $t^*$, m(s)$\ge$ m(t) for $t^*\le$ s$\le$ t. If the preceding inequality is reversed, F is said to be a decreasing initially then increasing MRL(DIMRL) distribution. Hawkins, et al.(1992) proposed test of H0 : F is exponential versus$H_1$: F is IDMRL, and $H_0$ versus $H_1$' : F is DIMRL when turning point is unknown. Their test is based on a complete random sample $X_1$, …, $X_n$ from F. In this paper, we generalized Hawkins-Kochar-Loader test to random censored data.

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Length-biased Rayleigh distribution: reliability analysis, estimation of the parameter, and applications

  • Kayid, M.;Alshingiti, Arwa M.;Aldossary, H.
    • International Journal of Reliability and Applications
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    • v.14 no.1
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    • pp.27-39
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    • 2013
  • In this article, a new model based on the Rayleigh distribution is introduced. This model is useful and practical in physics, reliability, and life testing. The statistical and reliability properties of this model are presented, including moments, the hazard rate, the reversed hazard rate, and mean residual life functions, among others. In addition, it is shown that the distributions of the new model are ordered regarding the strongest likelihood ratio ordering. Four estimating methods, namely, method of moment, maximum likelihood method, Bayes estimation, and uniformly minimum variance unbiased, are used to estimate the parameters of this model. Simulation is used to calculate the estimates and to study their properties. Finally, the appropriateness of this model for real data sets is shown by using the chi-square goodness of fit test and the Kolmogorov-Smirnov statistic.

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Application of Fatigue Life Assessment considering Residual Stresses for Various Welded Details (잔류응력을 고려한 피로수명평가법의 적용성 검토(I) - 다양한 용접연결부에 대한 적용 -)

  • Han, Jeong-Woo;Lee, Tak-Kee;Han, Seung-Ho;Kim, Jae-Hoon
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.125-129
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    • 2002
  • Authors had developed the model for the fatigue life assessment of welded details considering residual stress and its relaxation. The model consists of three ingredients; a hot-spot stress approach, a residual stress relaxation, and an equivalent stress. The equivalent stress is induced by stress ranges and the ratios between the applied mean stresses and the ultimate stress of material. Once being tuned with two specific fatigue tests by using load carrying cruciform joint, this model can be applied to many kinds of welded details which structural stress concentration factors are different from each other. This paper reports the application of the proposed model for various welded details including cover plate, longitudinal stiffener, gusset and side attachment. From the investigation of predicted results by using the proposed model it was shown that the ambiguous fatigue characteristics of the various details influenced widely by the welding residual stress are clarified, and also the model could be applied to assess fatigue life of general welded structures.

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Estimation of Mean Residual Life Function for a Coherent System (코히어런트 시스템에서 평균잔여수명함수(平均殘餘壽命函數)의 추정(推定))

  • Park, Byung-Gu
    • Journal of the Korean Data and Information Science Society
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    • v.4
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    • pp.97-107
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    • 1993
  • In this paper we propose a nonparametric estimator of the men residual life function (MRLF) on a coherent system under the condition that the component lifetimes are censored by system lifetime. It is shown that the proposed estimator, considered as a function of age t, converges weakly to a Gaussian process on a fixed interval. A consistent estimator of asymptotic variance of the proposed estimator is also given.

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Fatigue Reliability of Steel Structures In the Presence of Residual Stresses (잔류응력하의 강구조물의 피로신뢰도)

  • 조효남;김두한;허상구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1989.10a
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    • pp.29-33
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    • 1989
  • An extended model for the assessment of fatigue reliability of steel structures In the presence of residual stresses Is developed. The model explicitly Includes the uncertainties of the lean stress and residual stress in terms of the zero-mean equivalent stress-range. It Is assumed that the fatigue life of welded Joints follows the Weibull distribution. Based on the numerical illustrations, It Is shown that the probability of fatigue fat lure and the allowable stress-range for fatigue design could be significantly affected by the presence of residual stresses. This effect may be represented through the mean stress at the welded joints.

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

  • Lee, Won-Kee;Song, Myung-Unn;Jeong, Seong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.1
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    • pp.89-97
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    • 2011
  • The aims of this study were to propose a method of estimation for mean residual life function (MRLF) from conditional survival function using the Buckley and James's (1979) pseudo random variables, and then to assess the performance of the proposed method through the simulation studies. The mean squared error (MSE) of proposed method were less than those of the Cox's proportional hazard model (PHM) and Beran's nonparametric method for non-PHM case. Futhermore in the case of PHM, the MSE's of proposed method were similar to those of Cox's PHM. Finally, to evaluate the appropriateness of practical use, we applied the proposed method to the gastric cancer data. The data set consist of the 1, 192 patients with gastric cancer underwent surgery at the Department of Surgery, K-University Hospital.

Study on Bladder Dysfunction in Elderly Women by the BFLUT Questionnaire and Bladder Scanner: Frequency and Residual Urine (질문지법과 초음파 방광용적진단기를 이용한 여성노인의 배뇨장애연구 -빈뇨, 잔뇨를 중심으로)

  • Kim, Jeung-Im
    • Women's Health Nursing
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    • v.17 no.3
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    • pp.294-303
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    • 2011
  • Purpose: This study aimed to describe bladder dysfunction in elderly women such as frequency, nocturia, and residual urine. Methods: One hundred elderly women aged 60 and over. The Bristol Female Lower Urinary Symptoms (BFLUT) was used to evaluate the bladder function and to measure the residual urine amount by using a bladder scanner. Data was analyzed with the differences between voiding dysfunction by age group and life habits by t-test, ANOVA and correlation by Pearson correlation coefficient. Results: the mean daytime frequency was 6.8 times and night-time frequency 2.7 times. Sixty three percent of subjects had urgency and 41% had urgent incontinence. Over half of subjects had problem in voiding function. There were significant differences in frequency by age groups and constipation, but not in daytime frequency and residual urine. Lastly, there were significant positive relations between daytime frequency and night-time frequency. Also results indicate that more frequency in daytime equaled to a less residual urine amount. Conclusion: We know many elderly women have lower urinary tract symptoms. Specially women over 75 years have more daytime frequency and night-time frequency. This suggests further research needed in order to understand the relation of voiding patterns and life habits and its influence on quality of life.

A FAMILY OF TESTS FOR TREND CHANCE IN MEAN RESIDUAL LIFE WITH UNKNOWN TURNING POINT

  • Na, Myoung-Hwan;Kim, Jae-Joo
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.259-268
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    • 1998
  • A family of test statistics is proposed for testing whether or not the mean residual life(MRL) changes its trend. We do not assume that the turning point or the proportion before the turning point is known. This family includes the test statistic proposed by Aly (1990) and Hawkins, Kochar and Leader (1992) for complete samples. We establish the asymptotic null distribution of test statistics and obtain asymptotic critical values of the asymptotic null distribution using Durbin's approximation. We study Monte Carlo simulation to compare the proposed tests with previously known tests.

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A Different Approach on Availability Modeling of Redundant Structure with Monitoring System

  • Lim, J.H.;Shin, S.W.;Park, D.H.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.83-94
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    • 2007
  • In this paper, we consider a standby redundant structure with a function of switchover processing which may not be not perfect. The switchover processing is governed by a control module whose failure may cause the failure of the whole system. The parameters measuring such an effect of failure of the control module is included in our reliability model. We compute several reliability measures such as reliability function, failure rate, MTBF, mean residual life function, and the steady state availability. We also compare a single unit structure and the redundant structure with regard to those reliability measures. An example is given to illustrate our results.

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