• Title/Summary/Keyword: 모수적 분포

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비중심 카이제곱분포의 동결성검정

  • 황형태;오희정
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.217-223
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    • 1998
  • 공통의 자유도를 갖는 $textsc{k}$개의 비중심 카이제곱분포들의 동질성을 검정하기 위하여 우선 적당한 형태의 검정방법을 제시하였다. 통상적인 방법대로, 제시된 검정방법이 주어진 유의수준을 만족시키도록 하기 위해서는, 귀무가설하에서 제 1종의 오류의 확률을 최대화하는 모수의 최소 우호적 위치(Least favorable configuration)가 유도되었으며, 이에 따라서 주어진 유의수준을 충족하는 기각치를 도표화하였다.

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Prediction Intervals for Nonlinear Time Series Models Using the Bootstrap Method (붓스트랩을 이용한 비선형 시계열 모형의 예측구간)

  • 이성덕;김주성
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.219-228
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    • 2004
  • In this paper we construct prediction intervals for nonlinear time series models using the bootstrap. We compare these prediction intervals to traditional asymptotic prediction intervals using quasi-score estimation function and M-quasi-score estimating function comprising bounded functions. Simulation results show that the bootstrap method leads to improved accuracy. The accuracy of the bootstrap is empirically demonstrated with the consumer price index.

Study on Lateral Flow Distribution and Momentum Analysis at Flood season and Neap tide of the Seokmo Channel in the Han River estuary (소조기 홍수시 한강하구 석모수로에서의 횡 방향 2차 흐름 및 운동량 분석)

  • Choi, Nak Yong;Woo, Seung-Buhm
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.24 no.6
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    • pp.390-399
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    • 2012
  • This research observed the cross section current of 7 survey lines in Seokmo Channel of Gyeonggi bay with a lot of freshwater inflow and S-shaped for 13 hours during flood season and neap tide. We indicated the distribution of the current velocity by comprehending the speed and direction of the current velocity of each line during maximum flood, ebb tide and observed the distribution of salinity. Moreover, in order to understand what lateral momentum causes the lateral flow in each survey line, we practiced the momentum analysis through the observation data. As a result, the lateral baroclinic pressure gradient force and vertical friction of the Seokmo channel during neap tide were the strongest, and this is why the flow by the distribution of salinity and stratification most often occurs. In north of the Seokmo channel, where have wide intertidal and a lot of freshwater inflow, the secondary circulation is caused by balance of lateral baroclinic pressure gradient force and other forces, and the vertical friction was strong in the lines with small depth. On the other hand, in the southern part of the Seokmo channel where the water is deep and the waterway is curved, the advective acceleration and centrifugal force become stronger by the geographical causes during ebb and the influence of fresh water. Therefore, the lateral flow in the Seokmo channel was caused by the distribution of the momentum that differs by location, depth, curve, etc.

Power study for 4 × 4 graeco-latin square design (4 × 4 그레코라틴방격모형의 검정력 연구)

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.4
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    • pp.683-691
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    • 2012
  • In $4{\times}4$ graeco-latin square design, powers of rank transformed statistic for testing the main effect are superior to powers of parametric statistic without regard to the effect structure with equally or unequally spaced effect levels as well as the type of population distributions such as exponential, double exponential, normal and uniform distribution. As numbers of block effect or effect sizes are decreased, powers of rank transformed statistic are much higher than powers of parametric statistic. In case that block effects are smaller than a main effect or one block effect is higher than other block effects, powers of rank transformed statistic are much higher than powers of parametric statistic in $4{\times}4$ graeco-latin square design with three block effects and one main effect.

Application of Jackknife Method for Determination of Representative Probability Distribution of Annual Maximum Rainfall (연최대강우량의 대표확률분포형 결정을 위한 Jackknife기법의 적용)

  • Lee, Jae-Joon;Lee, Sang-Won;Kwak, Chang-Jae
    • Journal of Korea Water Resources Association
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    • v.42 no.10
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    • pp.857-866
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    • 2009
  • In this study, basic data is consisted annual maximum rainfall at 56 stations that has the rainfall records more than 30years in Korea. The 14 probability distributions which has been widely used in hydrologic frequency analysis are applied to the basic data. The method of moments, method of maximum likelihood and probability weighted moments method are used to estimate the parameters. And 4-tests (chi-square test, Kolmogorov-Smirnov test, Cramer von Mises test, probability plot correlation coefficient (PPCC) test) are used to determine the goodness of fit of probability distributions. This study emphasizes the necessity for considering the variability of the estimate of T-year event in hydrologic frequency analysis and proposes a framework for evaluating probability distribution models. The variability (or estimation error) of T-year event is used as a criterion for model evaluation as well as three goodness of fit criteria (SLSC, MLL, and AIC) in the framework. The Jackknife method plays a important role in estimating the variability. For the annual maxima of rainfall at 56 stations, the Gumble distribution is regarded as the best one among probability distribution models with two or three parameters.

Assessment of New Design Wave by Spread Parameter and Expected Sliding Distance of Caisson Breakwater (확산모수와 제이슨방파제 기대활동량을 이용한 개정 설계파 분석)

  • Kim, Dong-Hyawn;Yoon, Gil-Lim;Shim, Jae-Seol
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.2
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    • pp.146-150
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    • 2007
  • Extreme value distributions for new deep sea wave were analyzed by using spread parameter and correlations between spread parameter and sliding distance of caisson breakwater were shown in numerical example. When spread parameter is larger than as usual, there occurred extra-ordinarily large wave height among 50 annual maximum significant waves generated by extreme value distribution. Spread parameter of new design wave is identified to be comparably larger than some foreign coastal areas and may cause large sliding displacement though deterministic safety factor for sliding is satisfied with enough margin.

Comparing the efficiency of dispersion parameter estimators in gamma generalized linear models (감마 일반화 선형 모형에서의 산포 모수 추정량에 대한 효율성 연구)

  • Jo, Seongil;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.95-102
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    • 2017
  • Gamma generalized linear models have received less attention than Poisson and binomial generalized linear models. Therefore, many old-established statistical techniques are still used in gamma generalized linear models. In particular, existing literature and textbooks still use approximate estimates for the dispersion parameter. In this paper we study the efficiency of various dispersion parameter estimators in gamma generalized linear models and perform numerical simulations. Numerical studies show that the maximum likelihood estimator and Cox-Reid adjusted maximum likelihood estimator are recommended and that approximate estimates should be avoided in practice.

Empirical Bayesian Prediction Analysis on Accelerated Lifetime Data (가속수명자료를 이용한 경험적 베이즈 예측분석)

  • Cho, Geon-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.21-30
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    • 1997
  • In accelerated life tests, the failure time of an item is observed under a high stress level, and based on the time the performances of items are investigated at the normal stress level. In this paper, when the mean of the prior of a failure rate is known in the exponential lifetime distribution with censored accelerated failure time data, we utilize the empirical Bayesian method by using the moment estimators in order to estimate the parameters of the prior distribution and obtain the empirical Bayesian predictive density and predictive intervals for a future observation under the normal stress level.

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A Study on Characteristics of Groundwater Qualities at the Ulsan Metropolitan City (울산도시지역의 지하수 수질특성에 관한 연구)

  • 김병우;정상용;조병욱;윤욱;성익환;심병완
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.04a
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    • pp.482-486
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    • 2004
  • 울산지역 수질특성에 관하여 연구하기 위해 228개 지점에서 수질성분 25개 항목을 분석하였다. 그 성분중 지하수 음용수 9개 수질성분(pH, EC, TDS, Cl, Mn, NO$_3$, SO$_4$, F, Fe)에 관해 수질분포특성 및 오염도를 나타내기 위해 모수적 통계기법인 정규크리깅과 비모수적 통계기법인 지시크리깅 기법을 적용하였다. OK와 IK의 성분별 베리오그램 분석한 결과 OK의 경우 모든 수질성분은 구상형모델(Spherical model)로 선정되었으며, IK의 경우 pH, TDS, SO$_4$, Cl, Mn, F, Fe 성분은 구상형모델로, EC는 지수형모델로, NO$_3$는 선형모델로 선정되었다. 그 결과 정규크리깅의 경우 연구지역의 수질특성을 정량적 분포특성이 잘 나타났다. 특히 태화강, 인접한 남구일원과 중구일원, 북구의 북서 일원 그리고 동구의 방어동일원에서 수질성분 9개 성분들이 다소 높게 나타났다. 특히 EC, TDS 그리고 Cl$^{-}$ NO$_3$ 성분이 높게 나타났다. 그리고 지시크리깅의 경우 정규크리깅과 비교하여 이상치가 크게 영향을 미칠 수 있는 통계학적인 오류를 보완하여 분석한 결과 울산지역 9개 성분 오염도는 EC>TDS>NO$_3$>pH>Fe>Mn>Cl>SO$_4$>F 순으로 오염특성이 나타났다.

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이동통신 환경에서의 핸드오버 지속시간 분석

  • 장희선;임석구;유제훈;이윤주
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1995.04a
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    • pp.11-17
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    • 1995
  • 이동가입자 수신단에서의 평균 수신전력 레벨이 핸드오버 임계값과 수신기 임계값 사이에 있는 영역을 핸드오버 영역이라 하며, 가입자가 핸드오버 영역에 머무르는 시간을 핸드오버 지속시간(Handover Duration Time)으로 정의한다. 시뮬레이션 분석 결과 핸드오버 지속시간은 감마분포를 따름이 입증되었으며, 따라서 본 연구에서는 감마분포에서의 모수(shape, scale 파라메터)를 해석적 방법으로 구한다. 그리고 해석적 방법의 검증을 위해 평균과 표준편차, 모수를 시뮬레이션 결과와 비교하며, 끝으로 적합도 검정을 수행하였다.

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