• 제목/요약/키워드: Confidence Estimation

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Confidence Interval Estimation Using SV in LS-SVM

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.451-459
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    • 2003
  • The present paper suggests a method to estimate confidence interval using SV(Support Vector) in LS-SVM(Least-Squares Support Vector Machine). To get the proposed method we used the fact that the values of the hessian matrix obtained by full data set and SV are not different significantly. Since the suggested method implement only SV, a part of full data, we can save computing time and memory space. Through simulation study we justified the proposed method.

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Empirical Bayes Confidence Intervals of the Burr Type XII Failure Model

  • Choi, Dal-Woo
    • Journal of the Korean Data and Information Science Society
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    • 제10권1호
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    • pp.155-162
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    • 1999
  • This paper is concerned with the empirical Bayes estimation of one of the two shape parameters(${\theta}$) in the Burr(${\beta},\;{\theta}$) type XII failure model based on type-II censored data. We obtain the bootstrap empirical Bayes confidence intervals of ${\theta}$ by the parametric bootstrap introduced by Laird and Louis(1987). The comparisons among the bootstrap and the naive empirical Bayes confidence intervals through Monte Carlo study are also presented.

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The Confidence Regions for the Logistic Response Surface Model

  • Cho, Tae-Kyoung
    • 품질경영학회지
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    • 제25권2호
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    • pp.102-111
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    • 1997
  • In this paper I discuss a method of constructing the confidence region for the logistic response surface model. The construction involves a, pp.ication of a general fitting procedure because the log odds is linear in its parameters. Estimation of parameters of the logistic response surface model can be accomplished by maximum likelihood, although this requires iterative computational method. Using the asymptotic results, asymptotic covariance of the estimators can be obtained. This can be used in the construction of confidence regions for the parameters and for the logistic response surface model.

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이중표본에서 모비율의 구간추정 (Interval Estimation of Population Proportion in a Double Sampling Scheme)

  • 이승천;최병수
    • 응용통계연구
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    • 제22권6호
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    • pp.1289-1300
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    • 2009
  • 표본추출 비용의 절감을 위해 흔히 사용되는 이중표본추출방법은 대부분의 표본들이 2종류의 오류에 의해 오염이 되어 있어 통계적 분석이 상대적으로 용이하지 않다. 특히, 비율의 추론을 위한 중요한 분석 도구인 구간추정은 현재까지 우도추정량의 정규근사에 의존하는 Wald 방법만이 알려져 있으나 Wald 신뢰구간은 포함확률의 근사성 등에서 많은 문제가 있다는 것이 여러 연구에서 확인되고 있다. 본 연구에서는 이중표본추출에서 Wald 신뢰구간의 문제점을 파악하고 이에 대한 대안으로 Agresti-Coull 유형의 신뢰구간을 제시한다.

이항 비율의 가중 POLYA POSTERIOR 구간추정 (Interval Estimation for a Binomial Proportion Based on Weighted Polya Posterior)

  • 이승천
    • 응용통계연구
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    • 제18권3호
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    • pp.607-615
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    • 2005
  • 최근 여러 학자들에 의해 이항 비율의 구간 추정에 많이 사용되고 있는 Wald 신뢰구 간의 문제점이 재조명되고 있고, 이에 대한 대안으로 이항 비율의 새로운 신뢰구간들이 발표되고 있다. 본 논문에서는 가중 Polya posterior를 이용한 베이지안 구간추정을 구하였다. 이 구간추정은 이항분포의 공액분포인 베타 사전분포에서 구한 전통적인 베이지안 구간추정과 같으나 추정의 편의를 위하여 정규근사에 의한 신뢰구간을 구할 때, 표본크기가 크면 실제적으로 Argresti와 Coull (1998)의 신뢰구간과도 일치하였다. 또 새로운 신뢰구간은 표본크기가 작은 경우와 비율이 극히 작은 경우에도 매우 유용한 신뢰구간이 된다는 것을 살펴보았다.

픽셀단위 상대적 신뢰도와 일치상관계수를 이용한 영상의 깊이 추정 알고리즘 (An Image Depth Estimation Algorithm based on Pixel-wise Confidence and Concordance Correlation Coefficient)

  • 김연우;이칠우
    • 한국멀티미디어학회논문지
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    • 제21권2호
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    • pp.138-146
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    • 2018
  • In this paper, we describe an algorithm for extracting depth information from a single image based on CNN. When acquiring three-dimensional information from a single two-dimensional image using a deep-learning technique, it is difficult to accurately predict the edge portion of the depth image because it is a part where the depth changes abruptly. in this paper, we introduce the concept of pixel-wise confidence to take advantage of these characteristics. We propose an algorithm that estimates depth information from a highly reliable flat part and propagates it to the edge part to improve the accuracy of depth estimation.

Kernel Inference on the Inverse Weibull Distribution

  • Maswadah, M.
    • Communications for Statistical Applications and Methods
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    • 제13권3호
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    • pp.503-512
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    • 2006
  • In this paper, the Inverse Weibull distribution parameters have been estimated using a new estimation technique based on the non-parametric kernel density function that introduced as an alternative and reliable technique for estimation in life testing models. This technique will require bootstrapping from a set of sample observations for constructing the density functions of pivotal quantities and thus the confidence intervals for the distribution parameters. The performances of this technique have been studied comparing to the conditional inference on the basis of the mean lengths and the covering percentage of the confidence intervals, via Monte Carlo simulations. The simulation results indicated the robustness of the proposed method that yield reasonably accurate inferences even with fewer bootstrap replications and it is easy to be used than the conditional approach. Finally, a numerical example is given to illustrate the densities and the inferential methods developed in this paper.

Multistage Point and Confidence Interval Estimation of the Shape Parameter of Pareto Distribution

  • Hamdy, H.I.;Son, M.S.;Gharraph, M.K.;Rashad, A.M.
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.1069-1086
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    • 2003
  • This article presents the asymptotic theory of triple sampling procedure as pertain to estimating the shape parameter of Pareto distribution. Both point and confidence interval estimation are considered within the same inference unified framework. We show that this group sampling technique possesses the efficiency of Anscome (1953), Chow and Robbins (1965) purely sequential procedure as well as reduce the number of sampling operations by utilizing Stein (1945) two stages procedure. The analysis reveals that the technique performs excellent as far as the accuracy is concerned. The present problem differs from those considered by many authors, in multistage sampling, in that the final stage sample size and the parameter's estimate become highly correlated and therefore we adopted different approach.

Weibull 확률분포함수(確率分布函數)의 매개변수(媒介變數) 추정(推定)과 신뢰한계(信賴限界) 유도(誘導) (Parameter Estimation and Confidence Limits for the WeibulI Distribution)

  • 허준행
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.141-150
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    • 1993
  • 본 연구에서는 Weibull 확률분포함수의 매개변수 추정방법을 적용하였으며, 재현기간별 신뢰한계를 구하기 위한 점근분산식(漸近分散式)을 유도하였다. 각 과정은 기존의 모멘트법, 최우도법, 확률가중 모멘트법(Probability weighted moments)개념에 기초하여 유도하였으며, 유도된 식들을 실제 홍수자료에 적용하였다.

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Reliability Estimation of Generalized Geometric Distribution

  • Abouammoh, A.M.;Alshangiti, A.M.
    • International Journal of Reliability and Applications
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    • 제9권1호
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    • pp.31-52
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    • 2008
  • In this paper generalized version of the geometric distribution is introduced. This distribution can be considered as a two-parameter generalization of the discrete geometric distribution. The main statistical and reliability properties of this distribution are discussed. Two methods of estimation, namely maximum likelihood method and the method of moments are used to estimate the parameters of this distribution. Simulation is utilized to calculate these estimates and to study some of their properties. Also, asymptotic confidence limits are established for the maximum likelihood estimates. Finally, the appropriateness of this new distribution for a set of real data, compared with the geometric distribution, is shown by using the likelihood ratio test and the Kolmogorove-Smirnove test.

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