• Title/Summary/Keyword: K-S 통계량

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Empirical Bayes Estimation of the Probability of Discovering a New Species (신종발견확률의 경험적 베이지안 추정에 관한 연구)

  • Joo Ho Lee
    • The Korean Journal of Applied Statistics
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    • v.7 no.1
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    • pp.159-172
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    • 1994
  • An empirical Bayes estimator of the probability of discovering a new species is proposed when some prior information is available on the number f species. The new estimator is shown via simulations to have only a moderate bias and a smaller RMSE than Good's estimator when the species population follows a truncated geometric distribution.

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A Study On Variance Estimation in Smoothing Goodness-of-Fit Tests (평활 적합도 검정에서의 분산추정의 영향)

  • Yoon, Yong-Hwa;Kim, Jong-Tae;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.189-202
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    • 1998
  • The goat of this paper is to study on variance estimation - Rice variance estimation, Gasser, Sroka and Jennen-Steinmetz's varince estimation - in smoothing goodness-of-fit tests. The comparisons of powers on test statistics are conducted by the change of variance, the number of oscillations, the amplitude of the alternative sample distribution.

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Traffic Summary for Analyzing Network Load in Mobile Communication System (이동통신 망 부하 해석을 위한 대표통화량의 설정)

  • Lee, Y.D.;Koh, S.G.;Ahn, B.J.
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.379-393
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    • 2006
  • In this paper, we propose a method to summarize the monthly traffic amount for analyzing network load in mobile communication system. We used the traffic data obtained from a domestic telecommunication company. Based on the statistical properties of the traffic data, we devise an efficient method to summarize monthly traffic amount.

Functional ARCH analysis for a choice of time interval in intraday return via multivariate volatility (함수형 ARCH 분석 및 다변량 변동성을 통한 일중 로그 수익률 시간 간격 선택)

  • Kim, D.H.;Yoon, J.E.;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.33 no.3
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    • pp.297-308
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    • 2020
  • We focus on the functional autoregressive conditional heteroscedasticity (fARCH) modelling to analyze intraday volatilities based on high frequency financial time series. Multivariate volatility models are investigated to approximate fARCH(1). A formula of multi-step ahead volatilities for fARCH(1) model is derived. As an application, in implementing fARCH(1), a choice of appropriate time interval for the intraday return is discussed. High frequency KOSPI data analysis is conducted to illustrate the main contributions of the article.

Bayesian Approach for Software Reliability Models (소프트웨어 신뢰모형에 대한 베이지안 접근)

  • Choi, Ki-Heon
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.119-133
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    • 1999
  • A Markov Chain Monte Carlo method is developed to compute the software reliability model. We consider computation problem for determining of posterior distibution in Bayseian inference. Metropolis algorithms along with Gibbs sampling are proposed to preform the Bayesian inference of the Mixed model with record value statistics. For model determiniation, we explored the prequential conditional predictive ordinate criterion that selects the best model with the largest posterior likelihood among models using all possible subsets of the component intensity functions. To relax the monotonic intensity function assumptions. A numerical example with simulated data set is given.

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Bivariate ROC Curve (이변량 ROC곡선)

  • Hong, C.S.;Kim, G.C.;Jeong, J.A.
    • Communications for Statistical Applications and Methods
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    • v.19 no.2
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    • pp.277-286
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    • 2012
  • For credit assessment models, the ROC curves evaluate the classification performance using two univariate cumulative distribution functions of the false positive rate and true positive rate. In this paper, it is extended to two bivariate normal distribution functions of default and non-default borrowers; in addition, the bivariate ROC curves are proposed to represent the joint cumulative distribution functions by making use of the linear function that passes though the mean vectors of two score random variables. We explore the classification performance based on these ROC curves obtained from various bivariate normal distributions, and analyze with the corresponding AUROC. The optimal threshold could be derived from the bivariate ROC curve using many well known classification criteria and it is possible to establish an optimal cut-off criteria of bivariate mixture distribution functions.

Methods of Combining P-values for Multiple Endpoints of Various Data Types (제 3상 임상시험에서 여러 형태 반응변수의 다변량 검정법인 P값 병합법)

  • Kim, Su-Young;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.35-51
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    • 2008
  • Comparative studies in Phase III clinical trials quite often involve two or more equally important endpoints, and one cannot select primary endpoint from them. O'Brien(1984) proposed for continuous endpoints the OLS and GLS statistics as milti-variate test statistics. Pocock et al. (1987) mentioned the possibility of analyzing a mixture of data types, such as quantitative, binary and survival data types, with the OLS and GLS statistics, but the authors did not explore problems in combining several endpoints of different types. Furthermore, they did not perform a simulation study to assess the efficiencies of the OLS and GLS statistics for endpoints of a mixture of data types. In this paper, we propose the combining methods of correlated P-values for the analysis of multiple endpoints, and compare the efficiencies of this method with those of OLS and GLS statistics for a mixture of data types with a simulation study. Among the several methods of combining P-values that are more advantageous than combining of OLS and GLS statistics, method B maintains nominal significance levels and is more efficient, while method F and G have type I error rates that are larger than the specified significance levels, which might occasionally lead to a wrong conclusion.

Enhancing Visualization in Self-Organizing Maps (SOM에서 개체의 시각화)

  • Um Ick-Hyun;Huh Myung-Hoe
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.83-98
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    • 2005
  • Exploring distributional patterns of multivariate data is very essential in understanding the characteristics of given data set, as well as in building plausible models for the data. For that purpose, low-dimensional visualization methods have been developed by many researchers along various directions. As one of methods, Kohonen's SOM (Self-Organizing Map) is prominent. SOM compresses the volume of the data, yields abstraction from the data and offers visual display on low-dimensional grids. Although it is proven quite effective, it has one undesirable property: SOM's display is discrete. In this study, we propose two techniques for enhancing quality of SOM's display, so that SOM's display becomes continuous. The proposed methods are demonstrated in two numerical examples.

An asymptotically distribution-free test for parallelism of regression lines against umbrellar alternatives (회귀직선에서 우산형 대립가설에 대한 평행성의 점근 분포무관 검정법)

  • 김동희;임동훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.105-117
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    • 1995
  • An asymptotically distribution-free procedure is proposed for paralleism of k regression lines against umbrella alternatives. Asymptotic properties are discussed, and comparative results relative to Kim and Lim(1994)'s tests show that our procedure is generally more powerful.

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Study on Vacuum Pump Monitoring Using MPCA Statistical Method (MPCA 기반의 통계기법을 이용한 진공펌프 상태진단에 관한 연구)

  • Sung D.;Kim J.;Jung W.;Lee S.;Cheung W.;Lim J.;Chung K.
    • Journal of the Korean Vacuum Society
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    • v.15 no.4
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    • pp.338-346
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    • 2006
  • In semiconductor process, it is so hard to predict an exact failure point of the vacuum pump due to its harsh operation conditions and nonlinear properties, which may causes many problems, such as production of inferior goods or waste of unnecessary materials. Therefore it is very urgent and serious problem to develop diagnostic models which can monitor the operation conditions appropriately and recognize the failure point exactly, indicating when to replace the vacuum pump. In this study, many influencing factors are totally considered and eventually the monitoring model using multivariate statistical methods is suggested. The pivotal algorithms are Multiway Principal Component Analysis(MPCA), Dynamic Time Warping Algorithm(DTW Algorithm), etc.