• Title/Summary/Keyword: Probability testing

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Model of Reliability Assessment in Ultrasonic Nondestructive Inspection (초음파 비파괴검사의 신뢰도 평가 모델)

  • Park, Ik-Keun;Park, Un-Su;Kim, Hyun-Mook;Park, Yoon-Won;Kang, Suk-Chull;Choi, Young-Hwan;Lee, Jin-Ho
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.240-245
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    • 2001
  • Ultrasonic inspection system is consisted of the operator, equipment and procedure. The reliability of results in ultrasonic inspection is affected by its ability. Furthermore, the reliability of nondestructive testing is influenced by the inspection environment, other materials and types of defect. Therefore, it is very difficult to estimate the reliability of NDT due to various factors. In this study, the probability of detection, used logistic probability model and Monte Carlo simulation, estimated the reliability of ultrasonic inspection. The utility of the NDT reliability assesment is verified by the analysis of the data from round robin test applied these models.

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Estimation of Probability Distribution of Fatigue Lives in Crank Throw Forged Steel (크랭크스로 단조강의 피로수명의 확률분포 추정)

  • Kim, Seon-Jin;Ahn, Seok-Hwan
    • Journal of Power System Engineering
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    • v.20 no.3
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    • pp.29-35
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    • 2016
  • Because of the severe service environment of the large marine vessel, the fatigue strength and its evaluation play an important role in design and maintenance of marine crankshaft. The aim of this work is to investigate the probability distribution of fatigue lives in crank throw forged steel and to develop the methodology for estimation of the probabilistic design fatigue strength. Detailed studies were performed on the constant amplitude axial loading fatigue test. The experiments were controlled by stress ratio of -1 and 15Hz frequency for each stress level. The considerable variability of fatigue life was observed in each stress level under rigidly controlled constant fatigue testing conditions. The fatigue life of crank throw forged steel was well followed the log-normal and Weibull distribution. In addition, it can be used for the estimation of probabilistic design fatigue strength by using the proposed methodology.

Detection of the Normal Population with the Largest Absolute Value of Mean

  • Kim, Woo-Chul;Jeong, Gyu-Jin
    • Journal of the Korean Statistical Society
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    • v.22 no.1
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    • pp.71-81
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    • 1993
  • Among k independent normal populations with unknown means and a common unknown variance, the problem of detecting the population with the largest absolute value of mean is considered. This problem is formulated in a manner close to the framework of testing hypotheses, and the maximum error probability and the minimum power are considered. The power charts necessary to determine the sample size are provided. The problem of detecting the population with the smallest absolute value of mean is also considered.

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Bayesian Method for the Multiple Test of an Autoregressive Parameter in Stationary AR(L) Model (AR(1)모형에서 자기회귀계수의 다중검정을 위한 베이지안방법)

  • 김경숙;손영숙
    • The Korean Journal of Applied Statistics
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    • v.16 no.1
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    • pp.141-150
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    • 2003
  • This paper presents the multiple testing method of an autoregressive parameter in stationary AR(1) model using the usual Bayes factor. As prior distributions of parameters in each model, uniform prior and noninformative improper priors are assumed. Posterior probabilities through the usual Bayes factors are used for the model selection. Finally, to check whether these theoretical results are correct, simulated data and real data are analyzed.

Fuzzy Binomial Proportion Test by Agreement Index (동의지수에 의한 퍼지 이항비률 검정)

  • Kang, Man-Ki;Park, Young-Rye
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.1
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    • pp.19-24
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    • 2009
  • We propose some properties for fuzzy binomial proportion test by agreement index. First we define fuzzy probability space and fuzzy type I error and type II error for the fuzzy probability of the two type errors. Also, we show that a fuzzy power function of performance for a fuzzy hypothesis test and drawing conclusions from the test.

Probability Analysis for Impact Behavior of Composite Laminates Subjected to Low-Velocity Impact (저속충격을 받는 복합적층판의 충격거동에 대한 확률분포 특성)

  • Ha, Seung-Chul;Kim, In-Gul;Lee, Seok-Je;Cho, Sang-Gyu;Jang, Moon-Ho;Choi, Ik-Hyeon
    • Composites Research
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    • v.22 no.6
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    • pp.18-22
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    • 2009
  • In this paper, we examined impact force and impact behavior through low velocity impact tests of composite laminates. And through c-scan as nondestructive inspection, explored the damaged area being difficult to examine with the visual inspection. Through CAI tests, we also measured the compression strength of composite laminates subjected to low velocity impact. To examine the characteristics of impact behavior measured from low velocity impact test, nondestructive inspection, and CAI test, the simulated data are generated from the test data using Monte-Carlo simulation, then represented it by probability distribution. The testing results using visible stochastic distribution were examined and compared.

Use of Simple Sequence Repeat (SSR) Markers for Variety Identification of Tomato (Lycopersicon esculentum) (Simple Sequence Repeat (SSR) Marker를 이용한 토마토 품종 식별)

  • Kwon, Yong-Sham;Park, Eun-Kyung;Bae, Kyung-Mi;Yi, Seung-In;Park, Soon-Gi;Cho, Il-Ho
    • Journal of Plant Biotechnology
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    • v.33 no.4
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    • pp.289-295
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    • 2006
  • This study was carried out to evaluate the suitability of simple sequence repeat (SSR) markers for varietal identification and genetic diversity in 28 commercial tomato varieties. The relationship between marker genotypes and 28 varieties was analyzed. Of the 219 pairs of SSR primers screened against ten tomato varieties, 18 pairs were highly polymorphic with polymorphism information content (PIC) ranging from 0.467 to 0.800. Among the polymorphic loci, two to nine SSR alleles were detected for each locus with an average of 3.3 alleles per locus. Genetic distances were estimated according to Jaccard's methods based on the probability that the amplified fragment from one genotype would be present in another genotype. These varieties were categorized into cherry and classic fruit groups corresponding to varietal types and genetic distance of cluster ranging from 0.35 to 0.97. The phonogram discriminated all varieties by marker genotypes. The SSR markers proved to be useful variety identification and genetic resource analysis of tomato.

Using GIS Modeling to Assess the Distribution and Spatial Probability of Soil Contamination of Geologic Origin in Korea (GIS 모델링을 이용한 국내 지질 기원 토양오염의 분포 현황과 공간적 개연성 연구)

  • Jae-Jin Choi;Kyeong-Hun Cha;Gyo-Cheol Jeong;Jong-Tae Kim;Seong-Cheol Park
    • The Journal of Engineering Geology
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    • v.33 no.1
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    • pp.39-49
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    • 2023
  • Soil contaminants measured and managed in Korea include those of geologic origin such as arsenic, cadmium, copper, lead, zinc, nickel, mercury, and fluoride. This study identifies the distribution of these contaminants using GIS modeling to analyze the spatial probability of soil contamination originating from geology. The modeling found that cadmium, copper, lead, nickel, and mercury often exceed the regulated standard by <1%. Concentrations of arsenic and zinc greatly exceeded the standard in the vicinity of mines and industrial complexes: mining and industry seemed to have substantial effects on the concentrations of these metals. Although fluoride was sampled at the lowest number of points, its frequency of exceeding the standard was the highest. No obvious source of artificial contamination has been identified, and fluoride's distribution characteristics showed continuity over a wide area, suggesting a strong correlation between geological characteristics and fluoride concentration. The highest frequencies of fluoride exceeding the standard were in Jurassic granite (40.00%) and Precambrian banded gneiss (34.12%). As these rocks contributed to the formation of soil through their weathering, high fluoride concentrations can be expected in soil in areas where these rocks are distributed.

A Goneral Procedure for Testing Equivalence

  • Sung Nae Kyung
    • Communications for Statistical Applications and Methods
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    • v.5 no.2
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    • pp.491-501
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    • 1998
  • Motivated by bioequivalence studies which involve comparisons of pharmaceutically equivalent dosage forms, we propose a more general decision rule for showing equivalence simultaneously between multiple means and a control mean. Namely, this testing procedure is concerned with the situation in that one must make decisions as to the bioequivalence of an original drug product and several generic formulations of that drug. This general test is developed by considering a spherical confidence region, which is a direct extension of the usual t-based confidence interval rule formally approved by the U.S. Food and Drug Administration. We characterize the test by the probability of rejection curves and assess its performance via Monte-Carlo simulation. Since the manufacturer's main concern is the proper choice of sample sizes, we provide optimal sample sizes from the Monte-Carlo simulation results. We also consider an application of the generalized equivalence test to a repeated measures design.

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A nonparametric sequential test based on observations in groups (집단관측치에 의한 비모수적 축차검정에 관한 연구)

  • 박창순
    • The Korean Journal of Applied Statistics
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    • v.1 no.2
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    • pp.66-81
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    • 1987
  • A new nonparametric sequential testing procedure is proposed in the paper. Sequential observations are divided into equally sized groups and a nonparametric statistic, which is appropriate for testing the given hypotheses, is obtained from each group. Then Wald's sequential test is applied for the case where the log probability ratio statistic is replaced by the nonparametric statistic. The properties of such test are evaluated approximately by the Wiener process.