• Title/Summary/Keyword: statistical confidence

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A Comparison of Some Approximate Confidence Intervals for he Poisson Parameter

  • Kim, Daehak;Jeong, Hyeong-Chul
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.899-911
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    • 2000
  • In this paper, we reviewed thirteen methods for finding confidence intervals for he mean of poisson distribution. Bootstrap confidence intervals are also introduced. Two bootstrap confidence intervals are compared with the other existing eleven confidence intervals by using Monte Carlo simulation with respect to the average coverage probability of Woodroofe and Jhun (1989).

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AN IMPROVED CONFIDENCE INTERVAL FOR THE POPULATION PROPORTION IN A DOUBLE SAMPLING SCHEME SUBJECT TO FALSE-POSITIVE MISCLASSIFICATION

  • Lee, Seung-Chun
    • Journal of the Korean Statistical Society
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    • v.36 no.2
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    • pp.275-284
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    • 2007
  • Confidence intervals for the population proportion in a double sampling scheme subject to false-positive misclassification are considered. The confidence intervals are obtained by applying Agresti and Coull's approach, so-called "adding two-failures and two successes". They are compared in terms of coverage probabilities and expected widths with the Wald interval and the confidence interval given by Boese et al. (2006). The latter one is a test-based confidence interval and is known to have good properties. It is shown that the Agresti and Coull's approach provides a relatively simple but effective confidence interval.

Statistical Fingerprint Recognition Matching Method with an Optimal Threshold and Confidence Interval

  • Hong, C.S.;Kim, C.H.
    • The Korean Journal of Applied Statistics
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    • v.25 no.6
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    • pp.1027-1036
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    • 2012
  • Among various biometrics recognition systems, statistical fingerprint recognition matching methods are considered using minutiae on fingerprints. We define similarity distance measures based on the coordinate and angle of the minutiae, and suggest a fingerprint recognition model following statistical distributions. We could obtain confidence intervals of similarity distance for the same and different persons, and optimal thresholds to minimize two kinds of error rates for distance distributions. It is found that the two confidence intervals of the same and different persons are not overlapped and that the optimal threshold locates between two confidence intervals. Hence an alternative statistical matching method can be suggested by using nonoverlapped confidence intervals and optimal thresholds obtained from the distributions of similarity distances.

A Comparison Study for the Confidence Intervals of the Common Odds Ratio in the Stratified 2 X 2 Tables Using the Average Coverage Probability

  • Kwak, Min Jung;Jeong, Hyeong Chul
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.779-793
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    • 2003
  • In this paper, various methods for finding confidence intervals for common odds ratio $\psi$ of the K 2${\times}$2 tables are reviewed. Also we propose two jackknife confidence intervals and bootstrap confidence intervals for $\psi$. These confidence intervals are compared with the other existing confidence intervals by using Monte Carlo simulation with respect to the average coverage probability.

Confidence Intervals for the Difference of Binomial Proportions in Two Doubly Sampled Data

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • v.17 no.3
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    • pp.309-318
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    • 2010
  • The construction of asymptotic confidence intervals is considered for the difference of binomial proportions in two doubly sampled data subject to false-positive error. The coverage behaviors of several likelihood based confidence intervals and a Bayesian confidence interval are examined. It is shown that a hierarchical Bayesian approach gives a confidence interval with good frequentist properties. Confidence interval based on the Rao score is also shown to have good performance in terms of coverage probability. However, the Wald confidence interval covers true value less often than nominal level.

Comparison of Confidence Subsets for Umbrella Orderings

  • Dong Hee Kim;Young Cheol Kim
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.421-426
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    • 1997
  • This paper proposes a distribution-free procedure that obtain confidence subset for umbrella orderings. We compare the proposed confidence procedure with Pan's(1996) confidence procedure.

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CONFIDENCE CURVES FOR A FUNCTION OF PARAMETERS IN NONLINEAR REGRESSION

  • Kahng, Myung-Wook
    • Journal of the Korean Statistical Society
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    • v.32 no.1
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    • pp.1-10
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    • 2003
  • We consider obtaining graphical summaries of uncertainty in estimates of parameters in nonlinear models. A nonlinear constrained optimization algorithm is developed for likelihood based confidence intervals for the functions of parameters in the model The results are applied to the problem of finding significance levels in nonlinear models.

A Simulation Study for the Confidence Intervals of p by Using Average Coverage Probability

  • Kim, Daehak;Jeong, Hyeong-Chul
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.859-869
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    • 2000
  • In this paper, various methods for finding confidence intervals for p of binomial parameter are reviewed. Also we introduce tow bootstrap confidence intervals for p. We compare the performance of bootstrap methods with other methods in terms of average coverage probability by Monte Carlo simulation. Advantages of these bootstrap methods are discussed.

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Double Bootstrap Confidence Cones for Sphericla Data based on Prepivoting

  • Shin, Yang-Kyu
    • Journal of the Korean Statistical Society
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    • v.24 no.1
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    • pp.183-195
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    • 1995
  • For a distribution on the unit sphere, the set of eigenvectors of the second moment matrix is a conventional measure of orientation. Asymptotic confidence cones for eigenvector under the parametric assumptions for the underlying distributions and nonparametric confidence cones for eigenvector based on bootstrapping were proposed. In this paper, to reduce the level error of confidence cones for eigenvector, double bootstrap confidence cones based on prepivoting are considered, and the consistency of this method is discussed. We compare the perfomances of double bootstrap method with the others by Monte Carlo simulations.

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Confidence Intervals on Variance Components in Two Stage Regression Model

  • Park, Dong-Joon
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.29-36
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    • 1996
  • In regression model with nested error structure interval estimations about variability on different stages are proposed. This article derives an approximate confidence interval on the variance in the first stage and an exact confidence interval on the variance in the second stage in two stage regression model. The approximate confidence interval is vased on Ting et al. (1990) method. Computer simulation is procided to show that the approximate confidence interval maintains the stated confidence coeffient.

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