• Title/Summary/Keyword: Kolmogorov test

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A Study on the Generations of k-fold Wiener Process (k-fold Wiener Process의 생성에 관한 연구)

  • 최성희
    • Proceedings of the Korean Information Science Society Conference
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    • 1998.10b
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    • pp.676-678
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    • 1998
  • 본 논문에서는 Information-Based Complexity분양의 문제들 중 그 complexity를 계산하기 매우 어렵거나 불가능한 문제들의 오차를 분석하기 위해서 k-fold Wiener process를 생성하는 algorithm에 대해 연구하고, 이 algorithm을 실제 프로그램 하였다. 또한 이 프로그램이 생성한 함수가 실제 k-fold Wiener process와 아주 근사하다는 것을 Kolmogorov-Smirnov test를 통하여 보여준다. 이 프로그램을 이용하면 여러 문제들의 average case error를 Monte-Carlo Simulation 과 같은 방법을 사용하여 실험적으로 계산할 수 있다.

A Kernel Approach to the Goodness of Fit Problem

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.6 no.1
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    • pp.31-37
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    • 1995
  • We consider density estimates of the usual type generated by a kernel function. By using the limit theorems for the maximum of normalized deviation of the estimate from its expected value, we propose to use data dependent bandwidth in the tests of goodness of fit based on these statistics. Also a small sample Monte Carlo simulation is conducted and proposed method is compared with Kolmogorov-Smirnov test.

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Design-Parameter Computation of Subsurface Investigation Profile on Probability Method (확률론적 방법에 의한 지반조사 자료의 설계정수 산정)

  • 신은철;김종인;이준철
    • Proceedings of the Korean Geotechical Society Conference
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    • 2003.03a
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    • pp.833-840
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    • 2003
  • The stability of structure, effectiveness of design and construction are very important factors in soil-structure design. The design-parameter is based on the test through laboratory-test and field-test. There are two ways to obtain the design-parameter. One is to through test, and the other is through relative documents and references. Recently, statistics has been used to get reliable data. In this study, Kriging method as Geostatistics and the theory of Bayesian's inference are used and the design-parameters are obtained. As the result of this study to the design-parameter is reliable and information about soil condition and soil properties in design and construction is easily found.

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Determination of Probable Rainfall Intensity Formulas for Designing Storm Sewer Systems at Incheon District (우수거 설계를 위한 인천지방에서의 확률강우강도식의 산정)

  • Ahn, Tae-Jin;Kim, Kyung-Sub
    • Journal of Korean Society of Water and Wastewater
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    • v.12 no.3
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    • pp.99-106
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    • 1998
  • This paper presents a procedure for determining the design rainfall depth and the design rainfall intensity at Incheon city area in Korea. In this study the eight probability distributions are considered to estimate the probable rainfall depths for 11 different durations. The Kolmogorov - Smirnov test and the Chi-square test are adopted to test each distribution. The probable rainfall intensity formulas are then determined by i) the least squares (LS) method, ii) the least median squares (LMS) method, iii) the reweighted least squares method based on the LMS (RLS), and iv) the constrained regression (CR) model. The Talbot, the Sherman, the Japanese, and the Unified type are considered to determine the best type for the Incheon station. The root mean squared (RMS) errors are computed to test the formulas derived by four methods. It is found that the Unified type is the most reliable and that all methods presented herein are acceptable for determining the coefficients of rainfall intensity formulas from an engineering point of view.

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Test of Exponentiality in Step Stress Accelerated Life test Model based on Kullback­Leibler Information Function (쿨백­라이블러 정보함수 이용한 단계 스트레스 가속수명모형의 지수성 검정)

  • 박병구;윤상철
    • Journal of Korean Society for Quality Management
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    • v.31 no.4
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    • pp.194-202
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    • 2003
  • In this paper, we propose goodness of fit test statistics for exponentiality in accelerated life tests data based on Kullback­Leibler information functions. This acceleration model is assumed to be a tampered random variable model. The procedure is applicable when the exponential parameter using the data from accelerated life tests is or is not specified under null hypothesis. And we compare the power of the proposed test statistics with Kolmogorov­Smirnov, Cramer von Mises and Anderson­Darling statistics in the small sample.

Goodness of Fit Test of Normality Based on Kullback-Leibler Information

  • Kim, Jong-Tae;Lee, Woo-Dong;Ko, Jung-Hwan;Yoon, Yong-Hwa;Kang, Sang-Gil
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.909-918
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    • 1999
  • Arizono and Ohta(1989) studied goodness of fit test of normality using the entropy estimator proposed by Vasicek (1976) Recently van Es(1992) and Correa(1995) proposed an estimator of entropy. In this paper we propose goodness of fit test statistics for normality based on Vasicek ven Es and Correa. And we compare the power of the proposed test statistics with Kolmogorov-Smirnov Kuiper Cramer von Mises Watson Anderson-Darling and Finkelstein and Schefer statistics.

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The Effect of Horticultural Activities Program on Emotional Intelligence and Stress Coping in Nursing College Student (원예활동프로그램이 간호대학생의 정서지능과 스트레스 대처에 미치는 효과)

  • Yang, Kyung-Mi;Park, Hyun-Jung
    • Journal of the Korea Convergence Society
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    • v.9 no.2
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    • pp.267-276
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    • 2018
  • The purpose of this study was to verify the effectiveness of horticultural activities program for 4th grade nursing students' emotional intelligence and stress coping. The study method was a non-equivalent control group pretest-posttest design. Participants were recruited with 4th grade nursing students from two nursing colleges. They were assigned to the experimental group (n=29) or the control group (n=30) using a computerized blocked randomization. Horticultural activities program was consisted of 10 sessions which were 2 times a week for 80 mins at each session during 5 weeks. Pretest and posttest were used to measure emotional intelligence and stress coping using the same structured questionnaires. Data was analyzed using frequency analysis, descriptive statistics, ${\chi}^2-test$, t-test, Fisher's exact test, Kolmogorov-Smirnov, independent t-test and paired t-test. The result showed a significant difference that the experimental group's emotional intelligence(t=-3.33, p=.002) and stress coping(t=-2.35, p=.023) score was higher than the control group's. The results of this study suggests that the horticultural activities program is effective in terms of emotional intelligence and stress coping for $4^{th}$ grade nursing students.

Precision Validation of Electromagnetic Physics in Geant4 Simulation for Proton Therapy (양성자 치료 전산모사를 위한 Geant4 전자기 물리 모델 정확성 검증)

  • Park, So-Hyun;Rah, Jeong-Eun;Shin, Jung-Wook;Park, Sung-Yong;Yoon, Sei-Chul;Jung, Won-Gyun;Suh, Tae-Suk
    • Progress in Medical Physics
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    • v.20 no.4
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    • pp.225-234
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    • 2009
  • Geant4 (GEometry ANd Tracking) provides various packages specialized in modeling electromagnetic interactions. The validation of Geant4 physics models is a significant issue for the applications of Geant4 based simulation in medical physics. The purpose of this study is to evaluate accuracy of Geant4 electromagnetic physics for proton therapy. The validation was performed both the Continuous slowing down approximation (CSDA) range and the stopping power. In each test, the reliability of the electromagnetic models in a selected group of materials was evaluated such as water, bone, adipose tissue and various atomic elements. Results of Geant4 simulation were compared with the National Institute of Standards and Technology (NIST) reference data. As results of comparison about water, bone and adipose tissue, average percent difference of CSDA range were presented 1.0%, 1.4% and 1.4%, respectively. Average percent difference of stopping power were presented 0.7%, 1.0% and 1.3%, respectively. The data were analyzed through the kolmogorov-smirnov Goodness-of-Fit statistical analysis test. All the results from electromagnetic models showed a good agreement with the reference data, where all the corresponding p-values are higher than the confidence level $\alpha=0.05$ set.

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Efficient Image Segmentation Using Morphological Watershed Algorithm (형태학적 워터쉐드 알고리즘을 이용한 효율적인 영상분할)

  • Kim, Young-Woo;Lim, Jae-Young;Lee, Won-Yeol;Kim, Se-Yun;Lim, Dong-Hoon
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.709-721
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    • 2009
  • This paper discusses an efficient image segmentation using morphological watershed algorithm that is robust to noise. Morphological image segmentation consists of four steps: image simplification, computation of gradient image and watershed algorithm and region merging. Conventional watershed segmentation exhibits a serious weakness for over-segmentation of images. In this paper we present a morphological edge detection methods for detecting edges under noisy condition and apply our watershed algorithm to the resulting gradient images and merge regions using Kolmogorov-Smirnov test for eliminating irrelevant regions in the resulting segmented images. Experimental results are analyzed in both qualitative analysis through visual inspection and quantitative analysis with percentage error as well as computational time needed to segment images. The proposed algorithm can efficiently improve segmentation accuracy and significantly reduce the speed of computational time.

The Study for ENHPP Software Reliability Growth Model based on Burr Coverage Function (Burr 커버리지 함수에 기초한 ENHPP소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.12 no.4
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    • pp.33-42
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    • 2007
  • Accurate predictions of software release times, and estimation of the reliability and availability of a software product require quantification of a critical element of the software testing process : test coverage. This model called Enhanced non-homogeneous poission process(ENHPP). In this paper, exponential coverage and S-shaped model was reviewed, proposes the Kappa coverage model, which maked out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE statistics and Kolmogorov distance, for the sake of efficient model, was employed. From the analysis of mission time, the result of this comparative study shows the excellent performance of Burr coverage model rather than exponential coverage and S-shaped model using NTDS data. This analysis of failure data compared with the Kappa coverage model and the existing model(using arithmetic and Laplace trend tests, bias tests) is presented.

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