• 제목/요약/키워드: Lognormal Distribution

검색결과 249건 처리시간 0.024초

극소불량 공정보증을 위한 모형연구 (Model for Process Quality Assurance When the Fraction Nonconforming is Very Small)

  • Jong-Gurl Kim
    • 대한안전경영과학회:학술대회논문집
    • /
    • 대한안전경영과학회 1999년도 추계학술대회
    • /
    • pp.247-257
    • /
    • 1999
  • There are several models for process quality assurance by quality system(ISO 9000), process capability analysis, acceptance control chart and so on. When a high level process capability has been achieved, it takes a long time to monitor the process shift, so it is sometimes necessary to develop a quicker monitoring system. To achieve a quicker quality assurance model for high-reliability process, this paper presents a model for process quality assurance when the fraction nonconforming is very small. We design an acceptance control chart based on variable quality characteristic and time-censored accelerated testing. The distribution of the characteristics is assumed to be normal of lognormal with a location parameter of the distribution that is a linear function of a stress. The design parameters are sample size, control limits and sample proportions allocated to low stress. These parameters are obtained under minimization of the relative variance of the MLE of location parameter subject to APL and RPL constraints.

  • PDF

교량의 경험적 손상도 곡선 (Empirical Fragility Curves for Bridge)

  • 이종헌;김운학;최정호
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제6권1호
    • /
    • pp.255-262
    • /
    • 2002
  • This paper presents a statistical analysis of empirical fragility curves for bridge. The empirical fragility curves are developed utilizing bridge damage data obtained from the 1995 Hyogoken Nanbu(Kobe) earthquake. Two-parameter lognormal distribution functions are used to represent the fragility curves with the parameters estimated by the maximum likelihood method. This paper also presents methods of testing the goodness of fit of the fragility curves and estimating the confidence intervals of the two parameters(median and log-standard deviation) of the distribution. An analytical interpretation of randomness and uncertainty associated with the median is provided.

저궤도 위성의 Extended Suzuki 모델에서 CDMA 시스팀의 성능 (Performance of CDMA system in the Extended Suzuki Model of LEO Satellite)

  • 박성조
    • 한국통신학회논문지
    • /
    • 제25권10A호
    • /
    • pp.1521-1528
    • /
    • 2000
  • In this paper we analyze the performance of a DS/CDMA system in LEO mobile satellite channels. The channel uses the Extended Suzuki model which is the product of a Rician distribution having a LOS component and a lognormal distribution due to shadowing. We assume that the signal transmitted from the satellite to the mobile undergoes the same fading for the whole coverage of signal's beam. The average bit error probabilities of double coverage system is calculated in this paper. The interference resulting from the reference satellite is calculated for mobile located in the middle of the double coverage region whereas the additive interference from next-satellite is included for mobile located in the edge of the double coverage region. The performance of the mobile's receiving signal is dependent on shadowing and the interference of the next-satellite. We can obtain an obtain an improved average bit error probability by using dual diversity over the conventional correlated receiver for similar shadowing conditions in the coverage area of the satellite channel.

  • PDF

가속된 열적 스트레스에 의한 PAI / Nano Silica 하이브리드 코일의 절연수명 추정 (Estimation of Insulation Life of PAI/Nano Silica Hybrid Coil by Accelerated Thermal Stress)

  • 박재준
    • 전기학회논문지
    • /
    • 제68권1호
    • /
    • pp.52-60
    • /
    • 2019
  • In this paper, four types of insulation coils were fabricated by adding various kinds of glycols to improve the flexibility and adhesion of insulating coils in varnish dispersed with PAI / Nano Silica_15wt%. The applied voltage and frequency were 1.5 kV / 20 kHz for accelerated life evaluation. Through the 6th temperature stress level, the cause of the insulation breakdown of the coil was ignored and only the breakdown time was measured. The Arrhenius model was chosen based on the theoretical relationship between chemical reaction rate and temperature for estimating the insulation life of the coil due to accelerated thermal stress. Three types of distributions (Weibull, Lognormal, Exponential) were selected as the relationship between thermal stress model and distribution. The average insulation lifetime was estimated under the temperature stress of four types of insulation coils through the relationship between one kind of model and three kinds of distributions.

Texas Climatological Model에 의한 短期 大氣汚染濃度 發生頻度의 推定 (Estimation of Occurrence Frequency of Short Term Air Pollution Concentration Using Texas Climatological Model)

  • 이종범
    • 한국대기환경학회지
    • /
    • 제4권2호
    • /
    • pp.67-71
    • /
    • 1988
  • To estimate the probability of short term concentration of air pollution using long term arithmetic average concentration, the procedure was developed and added to Texas Climatological Model version 2. In the procedure, such statistical characteristics that frequency distribution of short term concentration may be approximated by a lognormal distribution, were applied. This procedure is capable of estimating not only highest concentration for a variety of averaging times but also concentrations for arbitrary occurrence frequency. Evaluation of the procedure with the results of short term concentrations calculated by Texas Episodic Model version 8 using the meteorological data and emission data in Seoul shows that the procedure estimates concentrations fairly well for wide range of percentiles.

  • PDF

월유출량의 모의발생에 관한 비교 연구 (Comparative Studies on the Simulation for the Monthly Runoff)

  • 박명근;서승덕;이순혁;맹승진
    • 한국농공학회지
    • /
    • 제38권4호
    • /
    • pp.110-124
    • /
    • 1996
  • This study was conducted to simulate long seres of synthetic monthly flows by multi-season first order Markov model with selection of best fitting frequency distribution, harmonic synthetic and harmonic regression models and to make a comparison of statistical parameters between observes and synthetic flows of five watersheds in Geum river system. The results obtained through this study can be summarized as follow. 1. Both gamma and two parameter lognormal distributions were found to be suitable ones for monthly flows in all watersheds by Kolmogorov-Smirnov test. 2. It was found that arithmetic mean values of synthetic monthly flows simulated by multi-season first order Markov model with gamma distribution are much closer to the results of the observed data in comparison with those of the other models in the applied watersheds. 3. The coefficients of variation, index of fluctuation for monthly flows simulated by multi-season first order Markov model with gamma distribution are appeared closer to those of the observed data in comparison with those of the other models in Geum river system. 4. Synthetic monthly flows were simulated over 100 years by multi-season first order Markov model with gamma distribution which is acknowledged as a suitable simulation modal in this study.

  • PDF

비정규분포공정에서 계량치관리를 위한 메디안 특수 관리도의 모형설계와 그 적용에 관한 실용에 연구 (A Study of the effective approach method for median control chart of non-normally distributed process)

  • 신용백
    • 기술사
    • /
    • 제21권4호
    • /
    • pp.19-32
    • /
    • 1988
  • Whereas is non-symmetrical distribution manufacturing process the traditional X-chart by Shewhart is not plotted relatively on the central line but plotted on the skew of upper-hand side or lower-hand side. That is to say, for the purpose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In the Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make tile plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such short comings is non-normally distributed processes, a distribution-free type of confidence interval can be used, which should be haled on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for non-normal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions, may be easily analyzed. To enhance this improvement, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of special purpose control chart method, and also by introducing the new designed median control chart.

  • PDF

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

  • Pham, Hoang
    • International Journal of Reliability and Applications
    • /
    • 제3권1호
    • /
    • pp.1-16
    • /
    • 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.

  • PDF

경기도내 유통 농산물 중 잔류농약의 확률론적 노출평가 연구 (Probabilistic Exposure Assessment of Pesticide Residues in Agricultural Products in Gyeonggi-do)

  • 도영숙;김중범;강석호;김난영;엄미나;윤미혜
    • 농약과학회지
    • /
    • 제17권2호
    • /
    • pp.117-125
    • /
    • 2013
  • 경기도내 유통 농산물 중 잔류농약 모니터링(2006~2010)결과 chlorothalonil, chlorpyrifos, dicofol, endosulfan, EPN, ethoprophos, fenitrothion, methidathion, phenthoate와 tebupirimfos 등 농약10종에 대하여 확률론적 노출평가를 실시하였다. 몬테 카를로 시뮬레이션을 활용하였고, 농도와 섭취량의 분포는 모수인 평균과 표준편차를 입력하여 lognormal로 가정하였다. 농약별 평균과 95백분위수의 위해도는 결정론적 노출평가결과에 비해 대체로 낮게 나타났다. 위해도(%ADI)는 전국민 대상에 농도 불검출 데이터에 LOD = 0 mg/kg을 적용한 경우 평균과 95백분위수에서 각각 0.05~0.70%와 0.11~1.94%로 나타났다. LOD = 0.005 mg/kg을 적용한 경우는 평균과 95백분위수에서 각각 0.41~4.42%와 0.98~13.81%로 나타났다. 섭취자군 대상에 농도 불검출 데이터에 LOD = 0 mg/kg을 적용한 경우 평균과 95백분위수에서 각각 1.24~10.16%와 3.72~33.81%로 나타났다. LOD = 0.005 mg/kg을 적용한 경우 평균과 95백분위수는 각각 3.43~18.26%과 9.45~54.99%로 나타났다. 섭취자군에서는 LOD = 0과 LOD = 0.005를 적용한 위해도 평균과 95백분위수는 모두 methidathion이 가장 높게 나타났다. 경기도내 유통 농산물의 잔류농약에 대한 확률론적 노출위해도는 100미만으로 모두 안전한 것으로 나타났다.

위해평가를 통한 치즈에서의 Listeria monocytogenes 식중독 발생 가능성 분석 (Quantitative Risk Assessment of Listeria monocytogenes Foodborne Illness Caused by Consumption of Cheese)

  • 하지명;이지연
    • 한국식품위생안전성학회지
    • /
    • 제35권6호
    • /
    • pp.552-560
    • /
    • 2020
  • L. monocytogenes는 고병원성 식중독 세균으로 치즈, 식육 및 식육가공품, 훈제연어 등을 통해 식중독을 일으킨다. 현재 국내 식품공전 상 치즈에서는 L. monocytogenes에 대하여 불검출 기준을 적용하고 있으나, 이에 대한 과학적 근거가 확실하지 않고 L. monocytogenes 식중독에 대한 국민의 경각심을 일깨우기 위하여 기존에 수행된 연구들을 토대로 위해평가를 실시하였다. 그 결과, 치즈에 L. monocytogenes의 초기오염수준은 -4.0 Log CFU/g으로 확인되었다. 2018년 국민건강영양조사 결과 치즈의 섭취자 비율은 11.8%이고, 치즈 섭취량에 대한 최적확률분포는 Lognormal distribution이며 평균 32.5 g의 치즈를 섭취하는 것으로 확인되었다. 치즈 섭취로 인한 L. monocytogenes 식중독 발생 가능성은 일반군에서 평균 5.09×10-7, 민감군에서 평균 4.32×10-6로 분석되어, 민감군에서의 식중독 발생 가능성이 다소 높은 것으로 확인되었다. 식중독 발생 가능성에는 섭취자 비율이 가장 큰 영향을 미치지만 보관 및 운송 시간 또한 영향을 미치는 것으로 확인되어 유통환경에 대한 철저한 관리가 중요한 것으로 사료된다. 본 위해평가를 통하여 치즈에서의 L. monocytogenes의 기준규격을 뒷받침 할 수 있는 과학적인 데이터를 확보할 수 있었다. 향후 다양한 식품에서의 L. monocytogenes 위해평가 연구가 수행되어야 할 것으로 사료된다.