• 제목/요약/키워드: Location and scale parameters

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다양한 규모매개변수를 이용한 비정상성 Gumbel 모형의 비교 연구 (Comparison Study on the Various Forms of Scale Parameter for the Nonstationary Gumbel Model)

  • 장한진;김수영;허준행
    • 한국수자원학회논문집
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    • 제48권5호
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    • pp.331-343
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    • 2015
  • 비정상성 빈도해석을 위해 개발된 비정상성 확률분포 모형들은 대부분 매개변수에 시간항을 포함하는 형태로 정의된다. 이 중에서도 우리나라에 널리 사용되고 있는 Gumbel 모형에 대해 살펴보면, 비정상성 Gumbel 모형의 위치 및 규모매개변수는 시간에 대해 선형(linear) 및 지수(exponential) 함수의 관계를 보이는 형태로 가정한다. 규모매개변수의 지수함수의 형태는 음(-)의 값이 추정되는 것을 방지하기 위해 제안되어 널리 사용되고 있으나 이로 인해 확률수문량이 과다산정되는 문제가 발생하기도 한다. 본 연구에서는 이러한 문제를 해결하기 위해 비정상성 Gumbel 모형의 규모매개변수의 다양한 형태를 비교하고자 한다. 이를 위해 비정상성 Gumbel 모형의 규모매개변수를 지수함수, 선형, 로그 형태로 가정하여 비교하였다. 각 모형의 매개변수의 추정은 최우도법을 적용하였고 규모매개변수의 형태별 정확도 비교를 위해 모의실험을 수행하였으며, 실제 자료에 대한 적용으로 자료기간 30년 이상을 보유하면서 경향성을 가지는 강우량 자료들을 대상으로 비정상성 빈도해석을 수행하였다. 그 결과, 지수함수 형태를 가정한 규모매개변수를 가지는 비정상성 Gumbel 모형이 가장 작은 오차를 가지는 것으로 분석되었다.

AMLE for the Rayleigh Distribution with Type-II Censoring

  • Kang, Suk-Bok;Cho, Young-Suk;Hwang, Kwang-Mo
    • Journal of the Korean Data and Information Science Society
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    • 제10권2호
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    • pp.405-413
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    • 1999
  • By assuming a type-II censoring, we propose the approximate maximum likelihood estimators (AMLEs) of the location and the scale parameters of the two-parameter Rayleigh distribution and calculate the asymptotic variances and covariance of the AMLEs.

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Analytical modeling of masonry infills with openings

  • Kakaletsis, D.
    • Structural Engineering and Mechanics
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    • 제31권4호
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    • pp.423-437
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    • 2009
  • In order to perform a step-by-step force-displacement response analysis or dynamic time-history analysis of large buildings with masonry infilled R/C frames, a continuous force-deformation model based on an equivalent strut approach is proposed for masonry infill panels containing openings. The model, which is applicable for degrading elements, can be implemented to replicate a wide range of monotonic force-displacement behaviour, resulting from different design and geometry, by varying the control parameters of the model. The control parameters of the proposed continuous model are determined using experimental data. The experimental program includes fifteen 1/3-scale, single-story, single-bay reinforced concrete frame specimens subjected to lateral cyclic loading. The parameters investigated include the shape, the size, the location of the opening and the infill compressive strength. The actual properties of the infill and henceforth the characteristics needed for the diagonal strut model are based on the assessment of its lateral resistance by the subtraction of the response of the bare frame from the response of the infilled frame.

An Asymptotically Efficient Test for Exponential Populations

  • Jeon, Jong Woo;Chung, Han Young;Kim, Youn Tae
    • 품질경영학회지
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    • 제14권2호
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    • pp.15-20
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    • 1986
  • Using Fisher's method of combining two independent test statistics, we suggest a test for comparing two exponential populations with location and scale parameters and prove that it is asymptotically optimal in the sense of Bahadur efficiency.

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Goodness-of-Fit Test for the Pareto Distribution Based on the Transformed Sample Lorenz curve

  • 강석복;조영석
    • Journal of the Korean Data and Information Science Society
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    • 제13권1호
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    • pp.113-119
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    • 2002
  • A powerful and easily computed goodness-of-fit test for Pareto distribution which does not depend on the unknown location and scale parameters is proposed based on the transformed sample Lorenz curve. We compare the power of the proposed test statistic with the other goodness-of-fit tests for Pareto distribution against various alternatives through Monte Carlo methods.

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AMLE for Normal Distribution under Progressively Censored Samples

  • Kang, Suk-Bok;Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
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    • 제9권2호
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    • pp.203-209
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    • 1998
  • By assuming a progressively censored sample, we propose the approximate maximum likelihood estimator (AMLE) of the location nd the scale parameters of the two-parameter normal distribution and obtain the asymptotic variances and covariance of the AMLEs. An example is given to illustrate the methods of estimation discussed in this paper.

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M-Estimation Functions Induced From Minimum L$_2$ Distance Estimation

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
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    • 제27권4호
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    • pp.507-514
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    • 1998
  • The minimum distance estimation based on the L$_2$ distance between a model density and a density estimator is studied from M-estimation point of view. We will show that how a model density and a density estimator are incorporated in order to create an M-estimation function. This method enables us to create an M-estimating function reflecting the natures of both an assumed model density and a given set of data. Some new types of M-estimation functions for estimating a location and scale parameters are introduced.

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AMLE for the Gamma Distribution under the Type-I censored sample

  • Kang, Suk-Bok;Lee, Hwa-Jung
    • Journal of the Korean Data and Information Science Society
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    • 제11권1호
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    • pp.57-64
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    • 2000
  • By assuming a Type-I censored sample, we propose the approximate maximum likelihood estimators(AMLE) of the scale and location parameters of the gamma distribution. We compare the proposed estimators with the maximum likelihood estimators(MLE) in the sense of the mean squared errors(MSE) through Monte Carlo method.

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Approximate Maximum Likelihood Estimation for the Three-Parameter Weibull Distribution

  • Kang, S.B.;Cho, Y.S.;Choi, S.H.
    • Communications for Statistical Applications and Methods
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    • 제8권1호
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    • pp.209-217
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    • 2001
  • We obtain the approximate maximum likelihood estimators (AMLEs) for the scale and location parameters $\theta$ and $\mu$ in the three-parameter Weibull distribution based on Type-II censored samples. We also compare the AMLEs with the modified maximum likelihood estimators (MMLEs) in the sense of the mean squared error (MSE) based on complete sample.

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Estimation for the double Rayleigh distribution based on progressive Type-II censored samples

  • Kang, Suk-Bok;Jung, Won-Tae
    • Journal of the Korean Data and Information Science Society
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    • 제20권6호
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    • pp.1199-1206
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    • 2009
  • This paper deals with the estimation based on progressive Type-II censored samples from the double Rayleigh distribution. We derive some estimators of the location and scale parameters of the double Rayleigh distribution based on progressive Type-II censored samples. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

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