• 제목/요약/키워드: Performance-based Statistics

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Comparison of Parameter Estimation Methods in A Kappa Distribution

  • 정보윤;박정수
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2006년도 PROCEEDINGS OF JOINT CONFERENCEOF KDISS AND KDAS
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    • pp.163-169
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    • 2006
  • This paper deals with the comparison of parameter estimation methods in a 3-parameter Kappa distribution which is sometimes used in flood frequency analysis. The method of moment estimation(MME), L-moment estimation(L-ME), and maximum likelihood estimation(MLE) are applied to estimate three parameters. The performance of these methods are compared by Monte-carlo simulations. Especially for computing MME and L-ME, ike dimensional nonlinear equations are simplied to one dimensional equation which is calculated by the Newton-Raphson iteration under constraint. Based on the criterion of the mean squared error, the L-ME is recommended to use for small sample size $(n\leq100)$ while MLE is good for large sample size.

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Kullback-Leibler Information of the Equilibrium Distribution Function and its Application to Goodness of Fit Test

  • Park, Sangun;Choi, Dongseok;Jung, Sangah
    • Communications for Statistical Applications and Methods
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    • 제21권2호
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    • pp.125-134
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    • 2014
  • Kullback-Leibler (KL) information is a measure of discrepancy between two probability density functions. However, several nonparametric density function estimators have been considered in estimating KL information because KL information is not well-defined on the empirical distribution function. In this paper, we consider the KL information of the equilibrium distribution function, which is well defined on the empirical distribution function (EDF), and propose an EDF-based goodness of fit test statistic. We evaluate the performance of the proposed test statistic for an exponential distribution with Monte Carlo simulation. We also extend the discussion to the censored case.

시계열에서 국소구조변화의 탐지에 관한 연구 (Detection of local structural chages in time series)

  • Jae June Lee
    • 응용통계연구
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    • 제7권2호
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    • pp.299-311
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    • 1994
  • 시계열 자료에서 우리는 이상 관측자료들을 흔히 발견하게 된다. 한 점의 이상 관측자료를 탐지하는 방법은 여러가지가 소개되었지만 연속적인 시점에서 이상자료가 존재하는 경우에 기존의 기법은 적절하지 못한 면이 있다. 이 논문에서는 그러한 자료들을 국소구조변화의 결과로 해석하고 그 변화의 크기를 모형화하는 방법을 제시하였다. 이 모형을 이용하여 그러한 국소구조변화를 탐지할 수 있는 통계량과 탐지과정을 제안하였다. 모의실험과 실제 자료의 분석을 수행하여 제안된 기법의 유용성을 평가하였다.

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A convenient approach for penalty parameter selection in robust lasso regression

  • Kim, Jongyoung;Lee, Seokho
    • Communications for Statistical Applications and Methods
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    • 제24권6호
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    • pp.651-662
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    • 2017
  • We propose an alternative procedure to select penalty parameter in $L_1$ penalized robust regression. This procedure is based on marginalization of prior distribution over the penalty parameter. Thus, resulting objective function does not include the penalty parameter due to marginalizing it out. In addition, its estimating algorithm automatically chooses a penalty parameter using the previous estimate of regression coefficients. The proposed approach bypasses cross validation as well as saves computing time. Variable-wise penalization also performs best in prediction and variable selection perspectives. Numerical studies using simulation data demonstrate the performance of our proposals. The proposed methods are applied to Boston housing data. Through simulation study and real data application we demonstrate that our proposals are competitive to or much better than cross-validation in prediction, variable selection, and computing time perspectives.

국부 통계를 이용한 메디안 필터의 적응 영상 복원 (Adaptive Image Restoration of Median Filter Using Local Statistics)

  • 김남철;윤장홍;황찬식
    • 대한전자공학회논문지
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    • 제24권5호
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    • pp.863-867
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    • 1987
  • When digital image signals are transmitted or stored, they may be usually degraded by impulsive noise such as BSC noise. Though median filtering is a very effective method to reduce the impulsive noise, it brings non-negligible distortion after filtering. Several algorithms have been proposed to reduce such a distortion, but their reconstructed image quality are inadequate in some cases and they have a difficulty in real-time processing. In this paper, an effective filtering algorithm which can not only reduce the noise effectively but also preserve the edges well and lessen the distortion greatly, is presented. The proposed algorithm is an adaptive algorithm of median filter using local statistics, based on the characteristics of human eyes. The adaptive algorithm results shwo performance improvement of up to 3-4 dB over the nonadaptive one.

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Multivariate Shewhart control charts for monitoring the variance-covariance matrix

  • Jeong, Jeong-Im;Cho, Gyo-Young
    • Journal of the Korean Data and Information Science Society
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    • 제23권3호
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    • pp.617-626
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    • 2012
  • Multivariate Shewhart control charts are considered for the simultaneous monitoring the variance-covariance matrix when the joint distribution of process variables is multivariate normal. The performances of the multivariate Shewhart control charts based on control statistic proposed by Hotelling (1947) are evaluated in term of average run length (ARL) for 2 or 4 correlated variables, 2 or 4 samples at each sampling point. The performance is investigated in three cases, that is, the variances, covariances, and variances and covariances are changed respectively.

Multivariate control charts based on regression-adjusted variables for covariance matrix

  • Kwon, Bumjun;Cho, Gyo-Young
    • Journal of the Korean Data and Information Science Society
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    • 제28권4호
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    • pp.937-945
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    • 2017
  • The purpose of using a control chart is to detect any change that occurs in the process. When control charts are used to monitor processes, we want to identify this changes as quickly as possible. Many problems in quality control involve a vector of observations of several characteristics rather than a single characteristic. Multivariate CUSUM or EWMA charts have been developed to address the problem of monitoring covariance matrix or the joint monitoring of mean vector and covariance matrix. However, control charts tend to work poorly when we use the highly correlatted variables. In order to overcome it, Hawkins (1991) proposed the use of regression adjustment variables. In this paper, to monitor covariance matrix, we investigate the performance of MEWMA-type control charts with and without the use of regression adjusted variables.

Testing for a unit root in an AR(p) signal observed with MA(q) noise when the MA parameters are unknown

  • Jeong, Dong-bin;Sahadeb Sarkar
    • Journal of the Korean Statistical Society
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    • 제27권2호
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    • pp.165-187
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    • 1998
  • Shin and Sarkar (1993, 1994) studied the problem of testing for a unit root in an AR(p) signal observed with MA(q) noise when the MA parameters are known. In this paper we consider the case when the MA parameters are unknown and to be estimated. Test statistics are defined using unit root parameter estimates based on three different estimation methods of Hannan and Rissanen (1982), Kohn (1979) and Shin and Sarkar (1995). An AR(p) process contaminated by MA(q) noise is a .estricted ARMA model, for which Shin and Sarkar (1995) derived an easy-to-compute Newton- Raphson estimator The two-stage estimation p.ocedu.e of Hannan and Rissanen (1982) is used to compute initial parameter estimates in implementing the iterative estimation methods of both Shin and Sarkar (1995) and Kohn (1979). In a simulation study we compare the relative performance of these unit root tests with respect to both size and power for p=q=1.

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Comparison of Parameter Estimation Methods in A Kappa Distribution

  • Park Jeong-Soo;Hwang Young-A
    • Communications for Statistical Applications and Methods
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    • 제12권2호
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    • pp.285-294
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    • 2005
  • This paper deals with the comparison of parameter estimation methods in a 3-parameter Kappa distribution which is sometimes used in flood frequency analysis. Method of moment estimation(MME), L-moment estimation(L-ME), and maximum likelihood estimation(MLE) are applied to estimate three parameters. The performance of these methods are compared by Monte-carlo simulations. Especially for computing MME and L-ME, three dimensional nonlinear equations are simplified to one dimensional equation which is calculated by the Newton-Raphson iteration under constraint. Based on the criterion of the mean squared error, L-ME (or MME) is recommended to use for small sample size( n$\le$100) while MLE is good for large sample size.

텐서 스플라인 모형 선택에 관한 연구 (A study on selection of tensor spline models)

  • 구자용
    • 응용통계연구
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    • 제5권2호
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    • pp.181-192
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    • 1992
  • 본 논문에서는 텐서 스플라인을 이용하여, 일반화된 선형모형의 회귀합수를 자료에만 의존 하는 방식으로 추정하는 문제를 고려하였다. 최우 추정법을 이용하여 회귀 함수를 추정하는 데, 이용된 텐서 스틀라인은 접목점의 수가 유한개이며, 독립변수 영역의 주변에서는 선형으 로 제한되었다. 접목점을 자료의 각 좌표의 순서 통계량에 위치하도록 했고 그 수는 AIC의 변형된 식을 최소로 하는 수로 결정 했다. 모의 실험 예를 통하여 추정량을 예시하였다.

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