• Title/Summary/Keyword: Mean Cumulative Function

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The Confidence Bands for the Survival Function in Random Censorship Model (임의중도절단된 자료에서 생존함수의 동시신뢰대 구성)

  • Lee, Won-Kee;Song, Myung-Unn;Song, Jae-Kee;Park, Hee-Joo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.1
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    • pp.37-45
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    • 1998
  • We consider the problem of obtaining the confidence bands for the survival function with incomplete data. It is a rather simple procedure for constructing confidence bands of survival function. This method uses the weak convergence of normalized cumulative hazard estimator to a mean zero Gaussian process whose distribution can be easily approximated through simulation. Finally, we compare the performance of the proposed confidence bands through Monte Carlo simulation and we applied to construct the proposed bands with the Leukemia patient data.

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An Adaptive Histogram Redistribution Algorithm Based on Area Ratio of Sub-Histogram for Contrast Enhancement (명암비 향상을 위한 서브-히스토그램 면적비 기반의 적응형 히스토그램 재분배 알고리즘)

  • Park, Dong-Min;Choi, Myung-Ruyl
    • The KIPS Transactions:PartB
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    • v.16B no.4
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    • pp.263-270
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    • 2009
  • Histogram Equalization (HE) is a very popular technique for enhancing the contrast of an image. HE stretches the dynamic range of an image using the cumulative distribution function of a given input image, therefore improving its contrast. However, HE has a well-known problem : when HE is applied for the contrast enhancement, there is a significant change in brightness. To resolve this problem, we propose An Adaptive Contrast Enhancement Algorithm using Subhistogram Area-Ratioed Histogram Redistribution, a new method that helps reduce excessive contrast enhancement. This proposed algorithm redistributes the dynamic range of an input image using its mean luminance value and the ratio of sub-histogram area. Experimental results show that by this redistribution, the significant change in brightness is reduced effectively and the output image is able to preserve the naturalness of an original image even if it has a poor histogram distribution.

Failed mode analysis Using failed data of Connector (커넥터의 고장 데이터를 통한 고장 모드 분석)

  • Kim, Ji-Hun;Park, Dong-Gue;Han, Hyun-Kak
    • Proceedings of the KAIS Fall Conference
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    • 2006.05a
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    • pp.449-452
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    • 2006
  • 본 논문에서는 전장부품에서 중요한 연결 장치인 커넥터의 고장 모드를 분석하기 위한 방법으로 HALT(Highly Accelerated Life Test)를 이용해 관측된 고장 데이터를 기반으로 ReliaSoft사의 소프트웨어인 ALTA PRO를 이용하여 분석하고자 한다. 커넥터를 이루는 주재료는 플라스틱과 금속으로 구성되어 있어 습도에 대한 반응 보다 열 변화와 진동에 의해 고장이 발생 한다. 이러한 커넥터의 특성을 고려하여 HALT는 온도와 진동 스트레스를 이용한 복합 스트레스 시험을 실시하였다. HALT에 사용된 시료는 20핀 커넥터 5개로 74시간 동안 시험하였으며, 9개의 핀에서 부러지는 고장이 관측 되었다. 관측된 고장 데이터를 단일 스트레스에 의한 고장으로 분석하기위해 시험에 사용된 온도와 진동 스트레스를 개별 스트레스로 하여 ALTA PRO를 이용하여 분석하였다. 분석을 위한 수명-스트레스관계식은 스텝 스트레스에 적합한 Cumulative Damage 선택하였으며 Likelihood Function을 이용 최적 분포는 Weibull 분포임을 확인하였다, ALTA Pro를 이용한 분석 결과 열에 대한 Mean Life는 2444.03 시간이며, 진동에 대한 Mean Life는 1784.27시간으로 진동에 대한 Mean Life가 659.76 시간만큼 작은 것을 확인 하였다. 고장 데이터를 이용한 수명 예측에서 Mean Life가 작다는 것은 스트레스에 의해 고장이 빠르게 발생 했다는 것을 의미한다. 가속수명시험을 통해 관측된 커넥터의 고장은 핀이 부러지는 현상이며, 고장에 대한 주요 원인으로 온도 스트레스 보다 Mean Life가 낮은 진동 스트레스인 것으로 판단된다.

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The Step Stress Life Testing for the Parallel System with Censored Data (절단된 자료가 있는 병렬형 시스템의 단계적 충격수명검사)

  • Park, Hee-Chang;Lee, Suk-Hoon
    • Journal of Korean Society for Quality Management
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    • v.23 no.1
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    • pp.15-28
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    • 1995
  • We consider a step-stress life testing which is devised for a two-component parallel system with considerably long life time. To describe such a system, we use an exponential distribution as the survival function. The lift distribution is assumed between the log mean life time and the stress with the cumulative exposure model. The criterion for optimality is to minimize the sum of the variances of the maximum likelihood estimators of the mean life times of each part under the normal stress.

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Optimum Simple Step-Stress Accelerated Life Tests Under Periodic Observation

  • Bai, Do-Sun;Kim, Myung-Soo;Lee, Sang-Hyuk
    • Journal of the Korean Statistical Society
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    • v.18 no.2
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    • pp.125-134
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    • 1989
  • This paper presents optimum simple step-stress accelerated life test plans for the case where the test process is observed periodically at intervals of the same length. Two types of failure data, periodically observed complete data and periodically observed censored data, are considered. An exponential life distribution with a mean that is a log-linear function of stress, and a cumulative exposure model for the effect of changing stress are assumed. For each type of data, the optimum test plan which minimizes the asymptotic variance of the maximum likelihood estimator of the mean life at a design stress is obtained and its behaviors are studied.

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An Analysis of Ship Turnaround Time in the Port of Inchon (선박재항시간에 대한 분석연구 -인천항의 경우-)

  • Baik, In-Hum
    • Journal of Fisheries and Marine Sciences Education
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    • v.10 no.1
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    • pp.1-14
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    • 1998
  • Transportation provides an infrastructure vital to economic growth, and it is also an integral part of production. As a port is regarded as the interface between the maritime transport and domestic transport sectors, it certainly play a key role in any economic development. Ship's delay caused by port congestion has recently has recently attracted attended with the analysis of overall operation in port. In order to analyse complicated port operation which contains large number of variable factors, queueing theory is needed to be adopted, which is applicable to a large scale transportation system in chiding ship's delay in Inchon port in relation to ship's delay problem. The overall findings are as follows ; 1. The stucture of queueing model in this port can be represented as a complex of multi-channel single-phase 2. Ship's arrival and service pattern were Poisson Input Erlangian Service. 3. The suitable formula to calculate the mean delay in this port, namely, $W_q={\frac{{\rho}}{{\lambda}(1-{\rho})}}{\frac{e{\small{N}}({\rho}{\cdot}N)}{D_{N-1}({\rho}{\cdot}N)}}$ Where, ${\lambda}$ : mean arrival rate ${\mu}$ : mean servicing rate N : number of servicing channel ${\rho}$ : utilization rate (l/Nm) $e{\small{N}}$ : the Poisson function $D_{(n-1)}$ : a function of the cumulative Poisson function 4. The utility rate is 95.0 percents in general piers, 75.39 percents in container piers, and watiting time 28.43 hours in general piers, 13.67 hours in container piers, and the length of queue is 6.17 ships in general piers, 0.93 ships in container piers, and the ship turnaround time is 107.03 hours in general piers, 51.93 hours in container piers.

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Application of Intensity-Duration-Frequency Curve to Korea Derived by Cumulative Distribution Function (누가분포함수를 활용한 강우강도식의 국내 적용성 평가)

  • Kim, Kewtae;Kim, Taesoon;Kim, Sooyoung;Heo, Jun-Haeng
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4B
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    • pp.363-374
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    • 2008
  • Intensity-Duration-Frequency (IDF) curve that is essential to calculate rainfall quantiles for designing hydraulic structures in Korea is generally formulated by regression analysis. In this study, IDF curve derived by the cumulative distribution function ("IDF by CDF") of the proper probability distribution function (PDF) of each site is suggested, and the corresponding parameters of IDF curve are computed using genetic algorithm (GA). For this purpose, IDF by CDF and the conventional IDF derived by regression analysis ("IDF by REG") were computed for 22 Korea Meteorological Administration (KMA) rainfall recording sites. Comparisons of RMSE (root mean squared error) and RRMSE (Relative RMSE) of rainfall intensities computed from IDF by CDF and IDF by REG show that IDF by CDF is more accurate than IDF by REG. In order to accommodate the effect of the recent intensive rainfall of Korea, the rainfall intensities computed by the two IDF curves are compared with that by at-site frequency analysis using the rainfall data recorded by 2006, and the result from IDF by CDF show the better performance than that from IDF by REG. As a result, it can be said that the suggested IDF by CDF curve would be the more efficient IDF curve than that computed by regression analysis and could be applied for Korean rainfall data.

Reliability and Validity of a Life Course Passive Smoke Exposure Questionnaire in an Australian Cohort From Childhood to Adulthood

  • Ezegbe, Chigozie;Magnussen, Costan G.;Neil, Amanda Louise;Buscot, Marie-Jeanne;Dwyer, Terence;Venn, Alison;Gall, Seana
    • Journal of Preventive Medicine and Public Health
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    • v.54 no.2
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    • pp.153-159
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    • 2021
  • Objectives: Life course exposure to passive smoke may predict health, but there are few validated measures. We tested the reliability and validity of a retrospective life course passive smoking questionnaire. Methods: Participants from the third follow-up of the Childhood Determinants of Adult Health study (2014-2019, ages 36-49 years) retrospectively reported mother/father/other household member smoking when living at home during childhood, including duration (years) and smoking location (never/sometimes/always inside house). The severity of exposure index (SEI; sum of mother/father/other years smoked multiplied by smoking location), cumulative years of exposure (CYE; sum of mother/father/other years), and total household smokers (THS) were derived. The reliability of retrospective passive smoking reports was examined with intraclass correlation coefficients (ICCs) using household smoking reported 34 years earlier in 1985 by participants when aged 7-15 years. Construct validity was examined by correlating retrospective passive smoking with participants' smoking in adulthood and lung function in childhood and adulthood. Results: Among 2082 participants (mean±standard deviation [SD], 45.0±2.5 years; 55.2% females), THS ranged from 0 to 5 (mean±SD, 0.9±1.0), CYE ranged from 0 to 106 (mean±SD, 10.5±13.9), and SEI ranged from 0 to 318 (mean±SD, 24.4±36.0). Retrospective measures showed moderate agreement with total household smokers reported in childhood (ICC, 0.58 to 0.62). The retrospective measures were weakly but significantly (p<0.05) correlated with participants' smoking (r=0.13 to 0.15) and lung function (r= -0.05 to -0.06). Conclusions: The retrospective passive smoking questionnaire showed reasonable reliability and validity. This measure may be useful for epidemiological studies.

Relationship between Maximum Stem Volume and Density during a Course of Self-thinning in a Cryptomeria japonica Plantation

  • Ogawa, Kazuharu;Hagihara, Akio
    • The Korean Journal of Ecology
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    • v.27 no.1
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    • pp.27-33
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    • 2004
  • Cryptomeria japonica plantation was monitored every year during 15 years from 1983 to 1997 for stem diameter and volume. The reciprocal equation, 1/Y = A + B/N, was applied to the relationship between cumulative volume Y and cumulative number N from the largest tree in the stand each year. The parameters A and B, which means respectively the reciprocal of an asymptotic value of total stand stem volume and the reciprocal of the maximum stem volume, are related by a power function. The power functional relationship between A and B derived a linear relationship of B-points ( $N_{B}$, $V_{B}$; $N_{B}$ = B/A, $Y_{B}$ = 1/2A) of each Y-N curve on log-log coordinates. The gradient of B-point line was so steep that the Y-N curve moved parallel upward year by year. The time trajectory of mean stem volume (W) and density ($\rho$) provided evidence in favor of the 3/2 power law of self-thinning, because the gradient of W - $\rho$ trajectory on log-log coordinates approximated to -3/2 at the final stage of stand development. On the basis of the results of Y-N curves and W - $\rho$ trajectory, the time trajectory of maximum stem volume $W_{max obs}$ and $\rho$ was derived theoretically. The gradient of $W_{max obs}$ - $\rho$ trajectory on log-log coordinates is calculated to be -0.6105 at the final stage. The gradient of $W_{max obs}$ - $\rho$ trajectory was steeper than that of W - $\rho$ trajectory at the early stage, while the former is gentler than the latter at the later stage.stage.e.age.e.

Risk Assessment for Toluene Diisocyanate and Respiratory Disease Human Studies

  • PARK, Robert M.
    • Safety and Health at Work
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    • v.12 no.2
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    • pp.174-183
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    • 2021
  • Background: Toluene diisocyanate (TDI) is a highly reactive chemical that causes sensitization and has also been associated with increased lung cancer. A risk assessment was conducted based on occupational epidemiologic estimates for several health outcomes. Methods: Exposure and outcome details were extracted from published studies and a NIOSH Health Hazard Evaluation for new onset asthma, pulmonary function measurements, symptom prevalence, and mortality from lung cancer and respiratory disease. Summary exposure-response estimates were calculated taking into account relative precision and possible survivor selection effects. Attributable incidence of sensitization was estimated as were annual proportional losses of pulmonary function. Excess lifetime risks and benchmark doses were calculated. Results: Respiratory outcomes exhibited strong survivor bias. Asthma/sensitization exposure response decreased with increasing facility-average TDI air concentration as did TDI-associated pulmonary impairment. In a mortality cohort where mean employment duration was less than 1 year, survivor bias pre-empted estimation of lung cancer and respiratory disease exposure response. Conclusion: Controlling for survivor bias and assuming a linear dose-response with facility-average TDI concentrations, excess lifetime risks exceeding one per thousand occurred at about 2 ppt TDI for sensitization and respiratory impairment. Under alternate assumptions regarding stationary and cumulative effects, one per thousand excess risks were estimated at TDI concentrations of 10 - 30 ppt. The unexplained reported excess mortality from lung cancer and other lung diseases, if attributable to TDI or associated emissions, could represent a lifetime risk comparable to that of sensitization.