• 제목/요약/키워드: Non-Normal Distribution

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확률밀도함수를 이용한 상수도 실 배관의 피로수명 특성 평가 (Evaluation of Fatigue Life Characteristic of a Real Waterwork Pipe Using the Probability Density Function)

  • 최정훈;박재실;석창성
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1691-1694
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    • 2005
  • The fatigue characteristic of a material or a structure is derived from fatigue tests of standard specimens. However test results of standard specimens are very different from those of real structures or components. Therefore, to calculate more accurate fatigue life, the geometrical effect and surface condition must be considered by comparing test results of standard specimens with those of real structures or components. Thus the object of this paper is to evaluate the fatigue characteristic of a real waterwork pipe by conducting fatigue tests with standard specimens and non-standard(plate-shaped) specimens of base metal and weld metal. Also, to evaluate fatigue characteristic based on life distribution, statistical fatigue characteristic was analyzed by the normal distribution and related data of P-S-N curve.

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심층 신경망 기법을 통한 부유사 이동 모델링 (Modeling of Suspended Sediment Transport Using Deep Neural Networks)

  • 봉태호;손영환;김규선;김동근
    • 한국농공학회논문집
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    • 제60권4호
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    • pp.83-91
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    • 2018
  • Land reclamation, coastal construction, coastline extension and port construction, all of which involve dredging, are increasingly required to meet the growing economic and societal demands in the coastal zone. During the land reclamation, a portion of landfills are lost from the desired location due to a variety of causes, and therefore prediction of sediment transport is very important for economical and efficient land reclamation management. In this study, laboratory disposal tests were performed using an open channel, and suspended sediment transport was analyzed according to flow velocity and grain size. The relationships between the average and standard deviation of the deposition distance and the flow velocity were almost linear, and the relationships between the average and standard deviation of deposition distance and the grain size were found to have high non-linearity in the form of power law. The deposition distribution of sediments was demonstrated to have log-normal distributions regardless of the flow velocity. Based on the experimental results, modeling of suspended sediment transport was performed using deep neural network, one of deep learning techniques, and the deposition distribution was reproduced through log-normal distribution.

조위자료의 확률밀도함수 추정 (Estimation of Probability Density Function of Tidal Elevation Data)

  • 조홍연;정신택;오영민
    • 한국해안해양공학회지
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    • 제16권3호
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    • pp.152-161
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    • 2004
  • 우리나라 연안 조위자료의 확률밀도함수 형태로 쌍봉형 정규분포 함수 형태를 제안하였다. 빈도분포 해석은 국립해양조사원에서 제공하는 인천, 군산, 목포, 제주, 여수, 마산, 가덕도, 부산, 포항, 속초 검조소의 1시간 간격 조위자료를 사용하였다. RMS 오차 및 결정계수($R^2$) 값을 비교ㆍ분석한 결과, 조위자료의 확률밀도함수로 본 연구에서 제안한 쌍봉형 함수가 기존에 사용하던 정규분포형 함수보다 더 적합한 함수로 파악되었다. 본 연구에서 제안된 함수의 매개변수는 Newton 방법을 수정한 Levenberg-Marquardt 방법으로 추정하였으며, 추정된 매개변수는 분석지점 검조소 자료의 비조화 상수와 밀접한 관계가 있는 것으로 파악되었다.

비대칭 지수멱 오차를 가지는 자기회귀모형에서의 베이지안 추론 (Bayesian Inference for Autoregressive Models with Skewed Exponential Power Errors)

  • 류현남;김달호
    • 응용통계연구
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    • 제27권6호
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    • pp.1039-1047
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    • 2014
  • 시계열 자료를 위한 가장 기본적인 모형인 자기회귀모형을 고려한다. 흔히 시계열 자료에서 정규성 가정이 위배되는 경우가 발생하며, 정규성 가정을 완화하기 위한 방법으로 두꺼운 꼬리를 가지는 분포 또는 비대칭 분포를 고려할 수 있다. 비대칭 지수멱 분포의 사용은 비뚤림이 있는 두꺼운 꼬리를 가지는 자기회귀모형의 이상치의 영향을 줄이고 로버스트한 추론을 할 수 있도록 한다. 본 논문에서는 자기회귀모형에 대한 오차항에 정규분포 보다 첨도와 왜도에 유연함을 가지는 분포를 고려함으로써 정규성 가정을 완화하여 추론하고자 하였다. 정규분포의 대안으로 비대칭 지수멱 분포를 고려하였으며 정규분포의 결과와 비교 하여 비대칭 지수멱 분포의 로버스트함을 보였다. 또한 주어진 분포에 대한 효율적인 베이지안 추론을 하기 위하여 SIR 알고리즘과 격자망 방법을 고려하였다.

모의실험에 의한 온실가스 인벤토리 불확도 산정을 위한 지수분포 신뢰구간 추정방법 (Estimation of confidence interval in exponential distribution for the greenhouse gas inventory uncertainty by the simulation study)

  • 이영섭;김희경;손덕규;이종식
    • Journal of the Korean Data and Information Science Society
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    • 제24권4호
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    • pp.825-833
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    • 2013
  • 온실가스 인벤토리 불확도 산정을 위해서는 인벤토리의 신뢰구간 추정이 필수적이다. 일반적으로 모수에 대한 신뢰구간 추정시에는 모집단이 정규분포를 따른다고 가정한다. 그러나 자료의 구조가 복잡해짐에 따라 정규분포가 아닌 비대칭형 자료, 즉 양의 왜도를 갖는 자료의 경우 기존의 정규분포를 가정한 신뢰구간 추정 방식은 적합하지 않다. 본 연구에서는 비대칭형 분포인 지수분포의 신뢰구간추정 방법으로 모수적인 방법과 비모수적인 방법에 대해 각각 비교분석하였다. 모의실험을 통한 신뢰구간 추정 결과를 바탕으로 범위확률, 신뢰구간 길이, 상대적 편의를 비교한 결과 모수적 방법 중에서 예상했던 대로 정확한 방법인 카이제곱방법이 신뢰계수와 유사한 범위확률을 보이고 상대적 편의도 작아 모수적 방법 중에서 신뢰구간 추정에 가장 적합한 것으로 나타났다. 마찬가지로 비모수적 방법 중에서는 표준화된 t-붓스트랩 방법이 가장 적합한 것으로 나타났다.

Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator

  • Jeong, Im-Soon;Suh, Young-Jin
    • Kyungpook Mathematical Journal
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    • 제51권4호
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    • pp.395-410
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    • 2011
  • In this paper we give a non-existence theorem for Hopf hypersurfaces M in complex two-plane Grassmannians $G_2(\mathbb{C}^{m+2})$ whose normal Jacobi operator $\bar{R}_N$ is parallel on the distribution F defined by $F=[{\xi}]{\cup}D^{\bot}$, where [${\xi}$] = Span{${\xi}$}, $D^{\bot}$ = Span {${\xi}_1$, ${\xi}_2$, ${\xi}_3$} and $T_xM=D{\oplus}D^{\bot}$, $x{\in}M$.

Objective Bayesian testing for the location parameters in the half-normal distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제22권6호
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    • pp.1265-1273
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    • 2011
  • This article deals with the problem of testing the equality of the location parameters in the half-normal distributions. We propose Bayesian hypothesis testing procedures for the equality of the location parameters under the noninformative prior. The non-informative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to arbitrary constants. This problem can be deal with the use of the fractional Bayes factor or intrinsic Bayes factor. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

한약재 품질관리의 개선방향

  • 박진한
    • 대한한약학회:학술대회논문집
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    • 대한한약학회 2007년도 Autumn Conference
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    • pp.129-144
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    • 2007
  • In order for stable demand-supply and regularity of distribution, "The regulations for management of demand-supply and distribution of medicinal herbs" were established on 1995. Therefore, the medicinal herbs of good quality have been controled to be distributed in the market. However, to be wide of the purpose, the standardized sound distribution system was caused due to the governmental control on demand-supply to protect domestic farmers who produce the material for medicinal herbs, which results in the over distribution of non-standardized or illegally imported medicinal herbs. In addition, because of the distribution of faulty or poor medicinal herbs, there are chances of affecting bad effects on public health. The standardized medicinal herbs cover 514 different kinds in total, of which 69 products are specified to be standardized in the oriental medicine product companies. Also, in order to protect farmers who produce the materials for medicinal herbs, the amount of imported materials are regulated in normal times. The 14 different materials for medicinal herbs, which are allowed to be imported to a certain amount only when the shortage of goods or sudden rise of prices is to happen, are frequently introduced into domestic market as food not as medical usage, and the origin of those illegally changes to home cropped one for the distribution in the market. In addition, the system of distribution are to be disordered and the condition for the distribution of medicinal herbs of good quality can not be made since they illegally changes the usage of the materials for medicinal herbs from their original one and can not be regulated by the domestic laws.

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극소치유량에 대한 적정분포형의 설정과 확률갈수량의 산정 (Probability Funetion of Best Fit to Distribution of Extremal Minimum Flow and Estimation of Probable Drought Flow)

  • 김지학;이순탁
    • 물과 미래
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    • 제8권1호
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    • pp.80-88
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    • 1975
  • In this paper the authors established the best fit distribution function by applying the concept of probabiaity to the annual minimum flow of nine areas along the Nakdong river basin which is one of the largest Korean rivers and calculated the probable minimum flow suitable to those distribution function. Lastly, the authors tried to establish the best method to estimate the probable minimun flow by comparing some frequency analysis methods. The results obtained are as follows (1) It was considered that the extremal distribution type III was the most suitable one in the distributional types as a result of the comparision with Exponential distribution, Log-Normal distribution, Extremal distribution type-III and so on. (2) It was found that the formula of extremal distribution type-II for the estimation of probable minimum flow gave the best result in deciding the probable minimum flow of the Nakdong river basin. Therfore, it is recommended that the probable minimum flow should be estimated by using the extremal distribution type-III method. (3) It could be understood that in the probable minimum flow the average non-excessive probability appeared to be $Po{\fallingdotseq}1-\frac{1}{2T}$ and gave the same values of the probable variable without any difference in the various methods of plotting technique.

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A Note on the Robustness of the X Chart to Non-Normality

  • Lee, Sung-Im
    • Communications for Statistical Applications and Methods
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    • 제19권5호
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    • pp.685-696
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    • 2012
  • These days the interest of quality leads to the necessity of control charts for monitoring the process in various fields of practical applications. The $\overline{X}$ chart is one of the most widely used tools for quality control that also performs well under the normality of quality characteristics. However, quality characteristics tend to have nonnormal properties in real applications. Numerous recent studies have tried to find and explore the performance of $\overline{X}$ chart due to non-normality; however previous studies numerically examined the effects of non-normality and did not provide any theoretical justification. Moreover, numerical studies are restricted to specific type of distributions such as Burr or gamma distribution that are known to be flexible but can hardly replace other general distributions. In this paper, we approximate the false alarm rate(FAR) of the $\overline{X}$ chart using the Edgeworth expansion up to 1/n-order with the fourth cumulant. This allows us to examine the theoretical effects of nonnormality, as measured by the skewness and kurtosis, on $\overline{X}$ chart. In addition, we investigate the effect of skewness and kurtosis on $\overline{X}$ chart in numerical studies. We use a skewed-normal distribution with a skew parameter to comprehensively investigate the effect of skewness.