• 제목/요약/키워드: Life Time Distribution

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Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

  • Aslam, Muhammad;Shoaib, Muhammad;Khan, Hina
    • Communications for Statistical Applications and Methods
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    • 제18권4호
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    • pp.403-411
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    • 2011
  • This paper deals with a group acceptance sampling plan for time truncated tests which are based on the total number of failures from the whole group assuming that the life time of an item follows the Dagum (inverse Burr) distribution. This study is developed when a multiple number of items as a group can be tested simultaneously in a tester. The minimum number of groups required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied simultaneously at the specified quality level, while the termination time and the number of testers are specified. Comparisons are made between the proposed plan and the existing plan on the basis of size of the groups. Two real examples are provided.

고장시간 자료의 통계적 분석을 위한 PWF-GPH 방법 (PWF-GPH method for the statistical analysis of failure time data)

  • 김선영;윤복식
    • 한국국방경영분석학회지
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    • 제22권1호
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    • pp.114-128
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    • 1996
  • In this paper, a life distribution fitting method based on generalized phase-type distributions(GPH) is presented. By fitting the life distribution to a GPH, we can utilize various useful properties of the GPH. Two different approaches are used according to the properties of the given failure time data. One is an approximation to a GPH through the piecewise Weibull failure rate(PWF) model and the other is a direct approximation to a GPH using the empirical distribution function. Two numerical examples are also presented. In the first example, both of the two approaches are utilized and compared for an incomplete data set. And in the second example, the direct approximation method from an empirical distribution is utilized for the analysis of a complete data set. In both cases, we could confirm the validity of the proposed method.

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정규분포와 대수정규분포에서의 고장률 보증시험 샘플링 계획 (Failure Rate Sampling Plan For Normal and Lognormal Distributions)

  • 임재학;김준홍;윤원영;이종문
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제4권1호
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    • pp.15-26
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    • 2004
  • Life test is performed to set a confidence (lower) limit on the mean or median life of items if the number of failures at the end of the fixed time t does not exceed a given number c. Gupta(1962) propose a sampling plan for truncated life tests when the life distribution of an item is normal or lognormal distribution. In this paper, based on the result of Gupta(1962), we propose a sampling plan for failure rate test when an item has normal or lognormal life distribution. We assume that the shape parameter is known while the location parameter is unknown.

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감마과정 모델을 이용한 KM6 추진제의 저장수명 예측 (Estimation of Shelf Life for Propellant KM6 by Using Gamma Process Model)

  • 박성호;김재훈
    • 한국추진공학회지
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    • 제16권4호
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    • pp.33-41
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    • 2012
  • KM6 단기추진제의 저장수명을 감마과정 이론을 이용한 확률론적 방법으로 추산하였다. 장기 저장에 따른 안정제 함량의 저하량이 0.8%일 때를 상태고장으로 보았으며 정상감마과정으로 가정하였을 때 형상함수의 상수와 척도모수를 모멘트법으로 추정하였다. 저장기간별 확률밀도함수로부터 각 저장기간에서의 상태분포를 확인할 수 있으며 누적고장분포함수 곡선에서 누적고장확률이 10%인 $B_{10}$수명은 25년이며 $B_{50}$수명은 36년으로 추산되었다. 실용적 관점에서 볼 때 $B_{50}$수명을 평균저장수명으로 볼 수 있으며 확률과정론을 이용하면 저장수명을 분포곡선으로 표현할 수 있다.

A Time Truncated Two-Stage Group Sampling Plan for Weibull Distribution

  • Aslam, Muhammad;Jun, Chi-Hyuck;Rasool, Mujahid;Ahmad, Munir
    • Communications for Statistical Applications and Methods
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    • 제17권1호
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    • pp.89-98
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    • 2010
  • In this paper, a two-stage group sampling plan based on the time truncated life test is proposed for the Weibull distribution. The design parameters such as the number of groups and the acceptance number in each stage are determined by satisfying the producer's and consumer's risks simultaneously when the group size and the test duration are specified. The acceptable reliability level is expressed by the ratio of the true mean life to the specified life. It was demonstrated from the comparison with single-stage group sampling plans that the proposed plan can reduce the average sample number or improve the operating characteristics.

First-Passage Time Distribution of Discrete Time Stochastic Process with 0-state

  • Park, Young-Sool
    • Journal of the Korean Data and Information Science Society
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    • 제8권2호
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    • pp.119-125
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    • 1997
  • We handle the stochastic processes of independent and identically distributed random variables. But random variables are usually dependent among themselves in actual life. So in this paper, we find out a new process not satisfying Markov property. We investigate the probability mass functions and study on the probability of the first-passage time. Also we find out the average frequency of continuous successes in from 0 to n time.

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연약암반내 패널채광시 강지보를 이용한 패널 유지기간의 확률론적 평가 (Probabilistic Evaluation of the Panel Life Time Using Steel Beam for Panel Mining in Soft Rock)

  • 장명환
    • 터널과지하공간
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    • 제28권4호
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    • pp.325-342
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    • 2018
  • ${\bigcirc}{\bigcirc}$광산은 연약한 암반특성에서 2차, 3차 채광을 하기 위한 다양한 방법이 시도되었다. 이러한 채광을 위해서는 패널형태로 채광구획을 나누고 패널채광을 하는 동안 패널이 유지되어야 한다. 본 과업에서는 패널 사이의 채광갱도를 강지보에 의하여 유지하고 확률론적으로 패널의 유지기간을 평가하였다. 패널 유지기간 평가를 위하여 Taylor 식을 이용하고, Pert 분포를 개념적으로 변형하여 적용하였다. 주요 입력자료는 Pert 분포에 의하여 결정하고 Monte Carlo 시뮬레이션을 실시하여 확률분포에 대한 패널의 유지기간을 평가하였다. 그 결과 패널폭 18-25 m일 경우 최소 6.5일에서 최대 20.6일 까지 패널의 자립이 가능한 것으로 분석되었다. 신뢰수준 90%에서 무지보 유지기간은 8.2-15.6일 정도로 분석되었다. 이러한 짧은 패널의 유지기간은 패널채광이 불가능하기 때문에 패널의 유지를 위하여 강지보를 계획하였다. 그 결과 광산별 3년 이내의 채광계획으로 패널유지를 위한 강지보를 적용하면, 90% 신뢰수준 내에서 패널의 유지가 가능한 것으로 분석되었다.

The Distribution of Work-Life Integration against COVID-19 and its Implications: Focusing on Remote Work in Switzerland

  • CHOI, Choongik;LEE, Kwang-Hoon
    • 유통과학연구
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    • 제21권1호
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    • pp.95-105
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    • 2023
  • Purpose: This study aims to explore the distribution of work-life integration against COVID-19 and its Implications by analyzing remote work in Switzerland. Research design, data and methodology: The study performed literature review and descriptive analyses using various data such as perception surveys, statistics, and related documents. Results: The infectious disease was a turning point for many people in Switzerland by changing where and how people want to live. Since the COVID-19 crisis demonstrated that disease could be spread by proximity, negative perception about urban areas expanded, and rural areas are increasingly preferred due to fresh and clean air and a more ecological lifestyle. In addition, increased remote work, a change brought about by COVID-19, has subsequently led to changes in household habits and needs. Distance from work is no longer an important factor when someone chooses where to live. A trend is now emerging where households wanting to improve the quality of life leave the city center and move to the suburbs. Conclusions: Paradoxically, such trend accelerated by the COVID-19 crisis has an unintendedly positive impact on the distribution of work-life integration across society while providing more flexibility in terms of place and time management and lowering the burden on roads and infrastructure.

Testing unknown age classes of life distributions based on TTT-transform

  • El-Din, M.M. Mohie;Abu-Youssef, S.E.;Ali, Nahed S.A.
    • International Journal of Reliability and Applications
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    • 제14권1호
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    • pp.1-9
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    • 2013
  • A nonparametric procedure for testing exponentially against used better than aged in expectation (UBAE) class of life distributions is presented. We construct a test statistics based on scaled total time on test (TTT)-transformation, to test exponentiality against UBAE class of life distributions. The distribution of the statistic is investigated via simulation. Practical applications of the proposed test are presented.

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분진을 이용한 연기감지기 신뢰성 분석에 관한 연구 (A Study on the Reliability Analysis for Smoke Detector using Dust)

  • 홍성호;최문수;이영만
    • 한국안전학회지
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    • 제28권6호
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    • pp.11-16
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    • 2013
  • This paper presents a study on the analyzing reliability of smoke fire detector using accelerated life test. In general, the smoke fire detector is broken by dust which flow in smoke detection chamber. In order to conduct accelerated life test of smoke fire detector dust is set accelerated factor in this paper. The dust is fly-ash which is test particle 5th regulated by KS A 0090. The dust accelerated level is 60 g, 180 g and 360 g and failure time is measured by smoke sensitivity testing. It is considered to failure of detector if detector don't operate within 30 secconds when subjected to an air stream having a velocity of 20 cm/s~40 cm/s containing smoke with a concentration of 15% of rate of light-response of 1 m. The goodness of fit test and mean life prediction conduct using the failure time. The result show that life distribution fits the weibull distribution for failure time data and the mean lifes calculate 22.5 year in domestic product and 14.7 years in overseas product applied dust stress only.