• 제목/요약/키워드: exponential analysis

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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.

유한 및 무한고장 지수파우어 NHPP 소프트웨어 신뢰성모형에 대한 비교 연구 (The Comparative Study for Software Reliability Model Based on Finite and Infinite Failure Exponential Power NHPP)

  • 김희철;신현철
    • 한국정보전자통신기술학회논문지
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    • 제8권3호
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    • pp.195-202
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    • 2015
  • 소프트웨어 고장분석을 위한 비동질적인 포아송과정에서 결함당 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 결함의 기대값을 가정하는 유한고장소프트웨어 NHPP모형과 수리시점에서도 고장이 발생할 상황을 반영하는 무한고장 NHPP모형들을 비교 제시하였다. 소프트웨어 신뢰성분야에서 많이 사용되는 지수파우어분포에 근거한 유한고장과 무한고장 소프트웨어 신뢰성모형에 대한 비교문제를 제시하였다. 그 결과 유한고장모형이 무한고장모형보다 효율적으로 나타났다. 그리고 모수추정법은 최우추정법을 이용하였다. 이 연구를 통하여 소프트웨어 개발자들은 소프트웨어 고장현상을 파악하는데 어느 정도 도움을 줄 수 있을 것으로 사료된다.

Inverse-type 수명분포에 근거한 유한고장 NHPP 소프트웨어 개발비용 모형의 성능에 관한 비교 연구 (Comparative Study on the Performance of Finite Failure NHPP Software Development Cost Model Based on Inverse-type Life Distribution)

  • 박승규
    • 한국전자통신학회논문지
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    • 제18권5호
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    • pp.935-944
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    • 2023
  • 본 연구에서는 신뢰성 연구에 적합하다고 알려진 Inverse-type(: Inverse-Exponential, Inverse-Rayleigh) 수명분포를 유한고장 NHPP(: Nonhomogeneous Poisson Process) 기반의 소프트웨어 개발비용 모형에 적용한 후, 성능을 결정하는 속성을 분석하였다. 또한, 모형의 효율성을 평가하기 위해 Goel-Okumoto 기본 모형과 함께 비교하였다. 고장 시간 데이터를 이용하여 모형의 성능을 분석하였고, 모수의 계산은 MLE(: Maximum Likelihood Estimation)를 적용하였다. 결론적으로, 첫째, 개발비용을 결정하는 m(t)를 분석한 결과, Inverse-Exponential 모형이 참값에 대한 오차가 적어 효율적이었다. 둘째, 개발비용과 함께 방출시간을 분석한 결과 Inverse-Rayleigh 모형이 가장 좋은 것으로 확인되었다. 셋째, 제안된 모형의 속성(m(t), 비용, 방출시간)을 종합적으로 평가한 결과, Inverse-Rayleigh 모형의 성능이 가장 우수하였다. 따라서 소프트웨어 개발자가 초기 프로세스에서 본 연구 데이터를 효율적으로 활용할 수 있다면, 비용에 영향을 미치는 속성들을 사전에 탐색하고 분석할 수 있을 것이다.

Molecular Cloning and Characterization of DNA Repair Related Gene in Yeast

  • Kang, Seon-Ah;Park, In-Soon
    • Journal of Life Science
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    • 제10권1호
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    • pp.40-44
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    • 2000
  • The SNF2/SW ATPase/helicase family comprises proteins form a variety of species with in vivo functions, such as transcriptional regulation, maintenance of chromosome stability during mitosis, and various types of DNA repair. Here, we reported the characterization of h게2+gene which was iolated by PCR amplification using the conserved domain of SNF2 motifs. Sequence analysis of PCR product showed striking evolutionary conservation among the SNF2 family of proteins. Two transcripts of 6.7 and 3.4 Lb were detected by Northern blot analysis. furthermore, the intensities of these two bands were increased by ultraviolet(UV) irradiation. These results indicate that the hrp2+ is a novel member of the SNF2 family of proteins and is one of the UV-inducible genes in S. pombe. To determine the level of transcripts of hrp2+ gene during cellular growth, Northern blot analysis were performed. This result indicates that the level of hrp2+transcript reached its maximum before cells entered the exponential growth phase. This suggests that hrp2+ gene is experssed mainly at the early stage of cell growth.

Growth Analysis of Cancer Biology Research, 2000-2011

  • Keshava,;Thimmaiah, B. N.;Agadi, K. B.
    • Journal of Information Science Theory and Practice
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    • 제3권3호
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    • pp.75-80
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    • 2015
  • Methods and Material: The PubMed database was used for retrieving data on 'cancer biology.' Articles were downloaded from the years 2000 to 2011. The articles were classified chronologically and transferred to a spreadsheet application for analysis of the data as per the objectives of the study. Statistical Method: To investigate the nature of growth of articles via exponential, linear, and logistics tests. Result: The year wise analysis of the growth of articles output shows that for the years 2000 to 2005 and later there is a sudden increase in output, during the years 2006 to 2007 and 2008 to 2011. The high productivity of articles during these years may be due to their significance in cancer biology literature, having received prominence in research. Conclusion: There is an obvious need for better compilations of statistics on numbers of publications in the years from 2000 to 2011 on various disciplines on a worldwide scale, for informed critical assessments of the amount of new knowledge contributed by these publications, and for enhancements and refinements of present Scientometric techniques (citation and publication counts), so that valid measures of knowledge growth may be obtained. Only then will Scientometrics be able to provide accurate, useful descriptions and predictions of knowledge growth.

Bayesian Value of Information Analysis with Linear, Exponential, Power Law Failure Models for Aging Chronic Diseases

  • Chang, Chi-Chang
    • Journal of Computing Science and Engineering
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    • 제2권2호
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    • pp.200-219
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    • 2008
  • The effective management of uncertainty is one of the most fundamental problems in medical decision making. According to the literatures review, most medical decision models rely on point estimates for input parameters. However, it is natural that they should be interested in the relationship between changes in those values and subsequent changes in model output. Therefore, the purpose of this study is to identify the ranges of numerical values for which each option will be most efficient with respect to the input parameters. The Nonhomogeneous Poisson Process(NHPP) was used for describing the behavior of aging chronic diseases. Three kind of failure models (linear, exponential, and power law) were considered, and each of these failure models was studied under the assumptions of unknown scale factor and known aging rate, known scale factor and unknown aging rate, and unknown scale factor and unknown aging rate, respectively. In addition, this study illustrated developed method with an analysis of data from a trial of immunotherapy in the treatment of chronic Granulomatous disease. Finally, the proposed design of Bayesian value of information analysis facilitates the effective use of the computing capability of computers and provides a systematic way to integrate the expert's opinions and the sampling information which will furnish decision makers with valuable support for quality medical decision making.

Application of Image Analysis System for Red Tide Organisms

  • Cho Eun Seob;Kang Yoon Mi;Kim Gwang Hoon
    • Fisheries and Aquatic Sciences
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    • 제2권2호
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    • pp.172-175
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    • 1999
  • Relative DNA contents in some harmful algae were measured using DAPI staining and image analysis system. This method was useful to identify some morphologically similar species and isolates from harmful algal blooms (HABs). In exponential phase, Prorocentrum micans had higher relative DNA content (RD) of $1.83\pm0.52$ than any other isolates, followed by Cochlodinium polykrikoides $(1.10\pm0.46)$ Alexandrium tamarense $(0.93\pm0.32)$ Gyrodinium impudicum $(0.56\pm0.17)$, Scrippsiella trochoidea $(0.41\pm0.26)$ and P. minimum$(0.05\pm0.01)$. When they were fixed with Lugol's solution, it was difficult to d,iscern C. polykrikoides from G. impudicum under the light microscope, but the DNA contents were quite different in two species. C. polykrikoides contained about twice as much RD as G. impudicum under the same culture conditions and exponential phase. DAPI­stained DNA feature in C. polykrikodes showed concentrated in the peripheral part of the cell, but in G. impudicum showed a compact structure in the central part. Although A. tamarense and S. trochoidea were morphologically similar under the light microscope, nuclear DNA content of A. tamarense was twice as much as that of S. trochoidea.

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천층 광폭터널의 내공변위 및 침하거동특성 예측을 위한 수치해석적 연구 (A Numerical Analysis Study for the Prediction of Convergences and Characteristics of Subsidence behavior in Shallow, Wide Tunnel Excavation)

  • 문승백;송승곤;양형식;전양수;한공창
    • 터널과지하공간
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    • 제11권1호
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    • pp.20-29
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    • 2001
  • 터널 굴착으로 인한 천반의 최종 변위는 내공변위 곡선을 시간과 거리에 따른 임의의 함수로 표현하여 예측할수 있다. 본 연구에서는 도심지 주변의 천층 광폭터널에서의 변위 예측식의 적합성을 검토하였다. 연구 대상 터널은 도심과 무등산 공원의 경계에 위치하여 터널 상부의 토피고가 낮고 폭이 넓은 터널이다. 연구 결과, 토피고가 낮은 갱구부에서 풍화암 지반이 강관다단 그라우팅 및 forepoling 보강에 의해 탄소성지반이 아닌 탄성지반에 준하는 특성을 나타내는 풍화암 내지 연암층으로 된 연구대상 터널의 경우 지수함수식이 더 적합한 것으로 나타났다.

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Reliability analysis of a complex system, attended by two repairmen with vacation under marked process with the application of copula

  • Tiwari, N.;Singh, S.B.;Ram, M.
    • International Journal of Reliability and Applications
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    • 제11권2호
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    • pp.107-122
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    • 2010
  • This paper deals with the reliability analysis of a complex system, which consists of two subsystems A and B connected in series. Subsystem A has only one unit and B has two units $B_1$ and $B_2$. Marked process has been applied to model the complex system. Present reliability model incorporated two repairmen: supervisor and novice to repair the failed units. Supervisor is always there and the novice remains in vacation and is called for repair as per demand. The repair rates for supervisor and novice follow general and exponential distributions respectively and the failure time for both the subsystems follows exponential distribution. The model is analyzed under "Head of line repair discipline". By employing supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula various transition state probabilities, reliability, availability and cost analysis have been obtained along with the steady state behaviour of the system. At the end some special cases of the system have been taken.

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On the receding contact between a two-layer inhomogeneous laminate and a half-plane

  • Liu, Zhixin;Yan, Jie;Mi, Changwen
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.329-341
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    • 2018
  • This paper considers the smooth receding contact problem between a homogeneous half-plane and a composite laminate composed of an inhomogeneously coated elastic layer. The inhomogeneity of the elastic modulus of the coating is approximated by an exponential function along the thickness dimension. The three-component structure is pressed together by either a concentrated force or uniform pressures applied at the top surface of the composite laminate. Both semianalytical and finite element analysis are performed to solve for the extent of contact and the contact pressure. In the semianalytical formulation, Fourier integral transformation of governing equations and boundary conditions leads to a singular integral equation of Cauchy-type, which can be numerically integrated by Gauss-Chebyshev quadrature to a desired degree of accuracy. In the finite element modeling, the functionally graded coating is divided into homogeneous sublayers and the shear modulus of each sublayer is assigned at its lower boundary following the predefined exponential variation. In postprocessing, the stresses of any node belonging to sublayer interfaces are averaged over its surrounding elements. The results obtained from the semianalytical analysis are successfully validated against literature results and those of the finite element modeling. Extensive parametric studies suggest the practicability of optimizing the receding contact peak stress and the extent of contact in multilayered structures by the introduction of functionally graded coatings.