• 제목/요약/키워드: truncated distribution

검색결과 151건 처리시간 0.027초

비정규분포공정에서 매디안특수관리도의 모형설계와 적용연구 (Median Control Chart for Nonnormally Distributed Processes)

  • 신용백
    • 기술사
    • /
    • 제20권3호
    • /
    • pp.15-25
    • /
    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the X-chart, X-chart, X-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make the 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 shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based 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 nonnormal distributions may be easily analyzed. Control limits and central lines are given for tile more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the X-chart, the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the X-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based on a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $X^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the propose4 median chart and the X chart was also performed with these examples and the median chart turned out to be superior to the X-chart.

  • PDF

비정규분포공정에서 메디안특수관리도 통용모형설정에 관한 실증적 연구(요약) (Median Control Chart for Nonnormally Distributed Processes)

  • 신용백
    • 산업경영시스템학회지
    • /
    • 제10권16호
    • /
    • pp.101-106
    • /
    • 1987
  • Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\bar{X}$-chart, $\bar{X}$-chart, $\bar{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart $\bar{X}$-chart. which is the most widely used one in Kora, such skewed distributions make the 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 shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based 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 nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the $\bar{X}$-chart; the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the $\bar{X}$-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based oh a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $\chi$$^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the proposed median chart and the $\bar{X}$ chart was also performed with these examples and the median chart turned out to be superior to the $\bar{X}$-chart.

  • PDF

학습 효과 기법을 이용한 NHPP 소프트웨어 신뢰도 모형에 관한 연구 (The Study of NHPP Software Reliability Model from the Perspective of Learning Effects)

  • 김희철;신현철
    • 융합보안논문지
    • /
    • 제11권1호
    • /
    • pp.25-32
    • /
    • 2011
  • 본 연구에서는 소프트웨어 제품을 개발하여 테스팅을 하는 과정에서 소프트웨어 관리자들이 소프트웨어 및 검사 도구에 효율적인 학습기법을 이용한 NHPP 소프트웨어 모형에 대하여 연구 하였다. 적용분포는 와이블 분포를 적용한 유한고장 NHPP에 기초하였다. 소프트웨어 오류 탐색 기법은 사전에 알지 못하지만 자동적으로 발견되는 에러를 고려한 영향요인과 사전 경험에 의하여 세밀하게 에러를 발견하기 위하여 테스팅 관리자가 설정해놓은 요인인 학습효과의 특성에 대한 문제를 비교 제시 하였다. 그 결과 학습요인이 자동 에러 탐색요인보다 큰 경우가 대체적으로 효율적인 모형임을 확인 할 수 있었다. 본 논문의 수치적인 예에서는 고장 간격 시간 자료를 적용하고 모수추정 방법은 최우추정법을 이용하고 추세분석을 통하여 자료의 효율성을 입증한 후 평균자승오차와 $R_{sq}$(결정계수)를 이용하여 효율적인 모형을 선택 비교하였다.

유한 순서열의 임의화 (Randomizing Sequences of Finite Length)

  • 허명회;이용구
    • 응용통계연구
    • /
    • 제23권1호
    • /
    • pp.189-196
    • /
    • 2010
  • 미국의 1970년 징병추출(draft lottery)은 유한 순서열 (1, 2, ..., k)의 물리적 임의화를 쉬운 일로 생각하였다가 사회적 물의가 빚어진 대표적인 사례이다. 본 소고는 숫자 1, 숫자 2, ... 등의 순서로 쌓인 k장의 카드 뭉치를 물리적으로 임의화하는 데 있어 반복 시행(repeated trial)의 역할을 밝힌다. 부수적으로 독립시행 수 n, 성공의 확률이 $\theta$인 이항분포 B(n, $\theta$)에서 성공 수가 짝수일 확률은 n이 커짐에 따라 0.5에 수렴하게 됨을 보인다.

대시메트릭 매핑 기법을 이용한 서울시 건축물별 주거인구밀도의 재현 (Representation of Population Distribution based on Residential Building Types by using the Dasymetric Mapping in Seoul)

  • 이석준;이상욱;홍보영;엄홍민;신휴석;김경민
    • Spatial Information Research
    • /
    • 제22권3호
    • /
    • pp.89-99
    • /
    • 2014
  • 도시 내 거주하는 인구의 분포는 다양한 연구에 활용될 수 있는 기초자료로서 중요한 의미를 지닌다. 그러나 이와 관련한 데이터는 정보기밀성 등을 이유로 일정한 공간단위로 집계되어 제공된다. 때문에 제공되는 것과 다른 공간단위나, 더 세밀한 공간분석을 요하는 연구와 활용이 제한된다. 이에 본 연구는 인구분포 데이터가 가지는 한계를 극복하여, 행정구역을 기준으로 한 인구데이터 제공단위보다 세밀한 인구분포를 현실적으로 재현하고자 대시매트릭 매핑 기법을 활용하였다. 대시메트릭 매핑은 주 데이터와 연관된 공간적 보조 데이터를 사용하여 주 데이터의 공간적 분포를 세밀하게 나타내는 지도화 방법이다. 본 연구에서는 서울시 집계구별 인구센서스 자료를 주 데이터로, 건축물 대장을 보조 데이터로 사용하였으며, 모든 인구가 주거용 건축물에 거주한다고 가정하여 주거용 건축물 단위에서 인구분포를 재현하였다. 주거용 건축물을 공간적으로 추출하기 위해 바이너리기법이 활용되었으며. 이후 회귀분석 기법을 활용하여 건물 용도와 층수를 고려한 가중치를 부여해 입체적인 거주인구밀도를 재현하는데 성공하였다. 이를 통해 전체 토지 및 용도구역을 기반으로 한 기존의 방법론보다 현실적용오차를 줄였다. 또한 주거가능 건축물의 주택유형과 층수가 반영된 3차원적 공간자료를 활용하여 주거용 건축물에 거주하는 인구를 추정하는 모델을 도출하여, 정확도가 높고 세밀화 된 인구분포지도를 제작하였다. 본 연구를 통해 도출된 개별 건물 단위의 인구 데이터는 일정한 공간단위로 집계를 재가공한 것으로 정보기밀성의 문제가 없는 세밀한 단위의 인구분포 정보를 제공한다. 따라서 이후 도시 내 재난재해 발생에 따른 영향 인구 파악과 같은, 지역인구를 활용한 다양한 연구에 활용될 수 있는 중요한 자료로써 의미를 지닌다.

혼성제 직립벽에 작용하는 파력의 불확실성 해석 (Uncertainty Analysis of Wave Forces on Upright Sections of Composite Breakwaters)

  • 이철응
    • 한국해안·해양공학회논문집
    • /
    • 제23권3호
    • /
    • pp.258-264
    • /
    • 2011
  • 혼성제 케이슨에 작용하는 파력의 불확실성을 확률론적으로 해석할 수 있는 MCS 기법을 제시하였다. 수평파력 및 양력에 대한 확률론적 산정모형을 파력 산정에 사용되는 최대파고의 확률적 특성의 함수로 수립하였다. 파력이 극치분포를 따른다는 가정하에 Goda 식으로부터 산정된 수평파력과 양력에 대한 상대파력의 개념으로 파력의 거동특성을 해석하였다. 이중절단형 정규분포를 이용하는 MCS 기법을 이용하여 축척모수와 형상모수의 불확실성을 고려하였다. 최대설계파고의 초과확률에 따라 상대파력의 평균과 분산을 정량적으로 산정하였다. 해석 결과에 의하면 초과확률이 커짐에 따라 수평파력 및 양력에 대한 상대파력의 평균은 일정하게 감소된다. 특히 양력에 대한 상대 파력은 그 평균값이 수평파력의 평균보다 크고 변동계수는 작게 산정되었다. 이는 동일조건의 초과수준에서 양력에 대한 불확실성이 상대적으로 수평파력의 불확실성보다 작다는 것을 의미한다. 따라서 본 연구의 결과는 파력의 불확실성에 대한 통계적 거동특성을 요구하는 신뢰성 설계 등에서 유용하게 이용될 수 있다.

The usefulness of soluble transferrin receptor in the diagnosis and treatment of iron deficiency anemia in children

  • Yoon, Se Hoon;Kim, Dong Sup;Yu, Seung Taek;Shin, Sae Ron;Choi, Du Young
    • Clinical and Experimental Pediatrics
    • /
    • 제58권1호
    • /
    • pp.15-19
    • /
    • 2015
  • Purpose: Soluble transferrin receptor (sTfR) is a truncated extracellular form of the membrane transferrin receptor produced by proteolysis. Concentrations of serum sTfR are related to iron status and erythropoiesis in the body. We investigated whether serum sTfR levels can aid in diagnosis and treatment of iron deficiency anemia (IDA) in children. Methods: Ninety-eight patients with IDA were enrolled and were classified according to age at diagnosis. Group 1 comprised 78 children, aged 6-59 months, and group 2 comprised 20 adolescents, aged 12-16 years. Results: In group 1, patients' serum sTfR levels correlated negatively with mean corpuscular volume; hemoglobin (Hb), ferritin, and serum iron levels; and transferrin saturation and positively with total iron binding capacity (TIBC) and red cell distribution width. In group 2, patients' serum sTfR levels did not correlate with ferritin levels and TIBC, but had a significant relationship with other iron indices. Hb and serum sTfR levels had a significant inverse relationship in both groups; however, in group 1, there was no correlation between Hb and serum ferritin levels. In 30 patients of group 1, serum sTfR levels were significantly decreased with an increase in Hb levels after iron supplementation for 1 month. Conclusion: Serum sTfR levels significantly correlated with other diagnostic iron parameters of IDA and inversely correlated with an increase in Hb levels following iron supplementation. Therefore, serum sTfR levels can be a useful marker for the diagnosis and treatment of IDA in children.

Nasopharyngeal Carcinoma Incidence in North Tunisia: Negative Trends in Adults but not Adolescents, 1994-2006

  • Wided, Ben Ayoub Hizem;Hamouda, Boussen;Hamadi, Hsairi;Mansour, Ben Abdallah
    • Asian Pacific Journal of Cancer Prevention
    • /
    • 제16권7호
    • /
    • pp.2653-2657
    • /
    • 2015
  • Nasopharyngeal carcinoma (NPC) is the second most common neoplasm of head and neck in Tunisia. The distribution is bimodal with a first period occurrence between 15 and 20 years old and a second peak at around 50 years of age. Undifferentiated carcinoma of nasopharynx type III (UCNT) is the predominant histological type (93.4%). Data of cancer registry of North Tunisia confirmed that it is an intermediate risk area for NPC with overall ASRs of 3.6 and 1.6/100,000 respectively in males and females. This study aimed to present the evolution of incidence rate of nasopharyngeal carcinoma over a period of 12 years (1994-2006). Data of cancer registry of North Tunisia (NTCR), covering half of the Tunisian population, were used to determine evolution of NPC incidence, calculated by 5 year periods. The estimated annual percentage change (EAPC) was used as an estimate of the trend. To best summarize the behavior or the data trend across years, we used a join-point regression program. Between 1994 and 2006, we observed negative annual average change of standardized incidence in men and women (-3.3%and -2.7%) also for the standardized incidences which showed a rather important decline (26.4% in males and 22.3% in females). The truncated age standardized incidence rate of NPC in adults aged of 30 years old and more (N= 1209) decreased by -0.4% per year from 1994 to 2006 over time in north Tunisia dropping from 6.09 to 4.14 person-years. However, the rate was relatively stable during this period among youths aged 0-29 years (N= 233) in both sexes. NPC demonstrated a favorable evolution from 1994-2006 probably due to a improvement in socioeconomic conditions.

Molecular gas properties under ICM pressure: A Case study of NGC4402

  • 한유진;정애리
    • 천문학회보
    • /
    • 제37권1호
    • /
    • pp.41.1-41.1
    • /
    • 2012
  • Interactions between the galactic interstellar medium (ISM) and the intra cluster medium (ICM) are believed to be one of the main processes affecting galaxy evolution in cluster environments. The aim of our research is to study the molecular gas properties of a galaxy under the ICM pressure in the cluster environment. It has been well known that cluster galaxies are deficient in atomic hydrogen gas (HI gas) compared to their field counterparts and now there is much evidence that low density ISM is being removed by ram pressure due to ICM wind. Meanwhile, no significant molecular gas deficiency of the cluster galaxy population has been found yet they show overall lower star formation rate than galaxies in the field, and it is still puzzling how the star formation could decrease without stripping of dense molecular gas. To address this issue, we probe the detailed molecular gas properties of NGC 4402, located near the cluster center, as part of a study of four spiral galaxies in the Virgo Cluster. NGC 4402 is well known undergoing ram pressure stripping with a truncated HI disk($D_{HI}/D_{opt}$ - 0.75 and only 36% of HI gas compare to field galaxies of a similar size) and a disturbed gas morphology. Comparing the high resolution 12CO and 13CO data of NGC 4402 from the Sub Millimeter Array (SMA) with existing other wavelength data, we probe the spatial distribution and a physical condition of molecular gas under strong ICM pressure. We discuss the star formation activity might have been altered and hence how the global color of NGC4402 would change in the future.

  • PDF

Differential Localisation of PARP-1 N-Terminal Fragment in PARP-1+/+ and PARP-1-/- Murine Cells

  • Rajiah, Ida Rachel;Skepper, Jeremy
    • Molecules and Cells
    • /
    • 제37권7호
    • /
    • pp.526-531
    • /
    • 2014
  • Human PARP family consists of 17 members of which PARP-1 is a prominent member and plays a key role in DNA repair pathways. It has an N-terminal DNA-binding domain (DBD) encompassing the nuclear localisation signal (NLS), central automodification domain and C-terminal catalytic domain. PARP-1 accounts for majority of poly-(ADP-ribose) polymer synthesis that upon binding to numerous proteins including PARP itself modulates their activity. Reduced PARP-1 activity in ageing human samples and its deficiency leading to telomere shortening has been reported. Hence for cell survival, maintenance of genomic integrity and longevity presence of intact PARP-1 in the nucleus is paramount. Although localisation of full-length and truncated PARP-1 in PARP-1 proficient cells is well documented, subcellular distribution of PARP-1 fragments in the absence of endogenous PARP-1 is not known. Here we report the differential localisation of PARP-1 Nterminal fragment encompassing NLS in PARP-$1^{+/+}$ and PARP-$1^{-/-}$ mouse embryo fibroblasts by live imaging of cells transiently expressing EGFP tagged fragment. In PARP-$1^{+/+}$ cells the fragment localises to the nuclei presenting a granular pattern. Furthermore, it is densely packaged in the midsections of the nucleus. In contrast, the fragment localises exclusively to the cytoplasm in PARP-$1^{-/-}$ cells. Flourescence intensity analysis further confirmed this observation indicating that the N-terminal fragment requires endogenous PARP-1 for its nuclear transport. Our study illustrates the trafficking role of PARP-1 independently of its enzymatic activity and highlights the possibility that full-length PARP-1 may play a key role in the nuclear transport of its siblings and other molecules.