• Title/Summary/Keyword: Confidence band

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The Confidence Band of $ED_{100p}$ for the Simple Logistic Regression Model

  • Cho, Tae Kyoung;Shin, Mi Young
    • Communications for Statistical Applications and Methods
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    • v.8 no.3
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    • pp.581-588
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    • 2001
  • The $ED_{100p}$ is that value of the dose associated with 100p% response rate in the analysis of quantal response data. Brand, Pinnock, and Jackson (1973) studied the confidence bands of $ED_{100p}$ obtained by solving extremal values algebraically on the ellipsoid confidence region of the parameters in the simple logistic regression model. In this paper, we develope and illustrate a simpler method for obtaining confidence bands for $ED_{100p}$ based on the rectangular confidence region of parameters.

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Confidence bands for survival curve under the additive risk model

  • Song, Myung-Unn;Jeong, Dong-Myung;Song, Jae-Kee
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.429-443
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    • 1997
  • We consider the problem of obtaining several types of simultaneous confidence bands for the survival curve under the additive risk model. The derivation uses the weak convergence of normalized cumulative hazard estimator to a mean zero Gaussian process whose distribution can be easily approxomated through simulation. The bands are illustrated by applying them from two well-known clinicla studies. Finally, simulation studies are carried outo to compare the performance of the proposed bands for the survival function under the additive risk model.

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A Penalized Spline Based Method for Detecting the DNA Copy Number Alteration in an Array-CGH Experiment

  • Kim, Byung-Soo;Kim, Sang-Cheol
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.115-127
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    • 2009
  • The purpose of statistical analyses of array-CGH experiment data is to divide the whole genome into regions of equal copy number, to quantify the copy number in each region and finally to evaluate its significance of being different from two. Several statistical procedures have been proposed which include the circular binary segmentation, and a Gaussian based local regression for detecting break points (GLAD) by estimating a piecewise constant function. We propose in this note a penalized spline regression and its simultaneous confidence band(SCB) approach to evaluate the statistical significance of regions of genetic gain/loss. The region of which the simultaneous confidence band stays above 0 or below 0 can be considered as a region of genetic gain or loss. We compare the performance of the SCB procedure with GLAD and hidden Markov model approaches through a simulation study in which the data were generated from AR(1) and AR(2) models to reflect spatial dependence of the array-CGH data in addition to the independence model. We found that the SCB method is more sensitive in detecting the low level copy number alterations.

Bootstrapped Confidence Bands for Quantile Function under LTRC Model

  • Cho, Kil-Ho;Chae, Hyeon-Sook;Choi, Dal-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.49-58
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    • 1997
  • We consider the quantile function for the bootstrapped product limit estimate under left truncation and right censoring model and show its weak convergence. We also obtain bootstrapped confidence bands for the quantile function.

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Analysis of Temperature Effects on Microbial Growth Parameters and Estimation of Food Shelf Life with Confidence Band

  • Park, Jin-Pyo;Lee, Dong-Sun
    • Preventive Nutrition and Food Science
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    • v.13 no.2
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    • pp.104-111
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    • 2008
  • As a way to account for the variability of the primary model parameters in the secondary modeling of microbial growth, three different regression approaches were compared in determining the confidence interval of the temperature-dependent primary model parameters and the estimated microbial growth during storage: bootstrapped regression with all the individual primary model parameter values; bootstrapped regression with average values at each temperature; and simple regression with regression lines of 2.5% and 97.5% percentile values. Temperature dependences of converted parameters (log $q_o$, ${\mu}_{max}^{1/2}$, log $N_{max}$) of hypothetical initial physiological state, maximum specific growth rate, and maximum cell density in Baranyi's model were subjected to the regression by quadratic, linear, and linear function, respectively. With an advantage of extracting the primary model parameters instantaneously at any temperature by using mathematical functions, regression lines of 2.5% and 97.5% percentile values were capable of accounting for variation in experimental data of microbial growth under constant and fluctuating temperature conditions.

Inference and Forecasting Based on the Phillips Curve

  • KIM, KUN HO;PARK, SUNA
    • KDI Journal of Economic Policy
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    • v.38 no.2
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    • pp.1-20
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    • 2016
  • In this paper, we conduct uniform inference of two widely used versions of the Phillips curve, specifically the random-walk Phillips curve and the New-Keynesian Phillips curve (NKPC). For both specifications, we propose a potentially time-varying natural unemployment (NAIRU) to address the uncertainty surrounding the inflation-unemployment trade-off. The inference is conducted through the construction of what is known as the uniform confidence band (UCB). The proposed methodology is then applied to point-ahead inflation forecasting for the Korean economy. This paper finds that the forecasts can benefit from conducting UCB-based inference and that the inference results have important policy implications.

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Confidence Bands for Survival Function Based on Hjort Estimator

  • Byung-Gu Park;Kil-Ho Cho;Woo-Dong Lee;Young-Joon Cha
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.119-127
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    • 1996
  • In this paper, we derive the Hall-Wellner band and the equal precistion band for survival function based on Hjort when the data are randomly right censored. The bands ate illustrated and compared by applying them to data from a preoperative radiation therapy.

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Nonparametric kernel calibration and interval estimation (비모수적 커널교정과 구간추정)

  • 이재창;전명식;김대학
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.227-235
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    • 1993
  • Calibration relates the estimation of independent variable which rquires more effort or expense than dependent variable does. It would be provided with high accuracy because a little change of the result of independent variable cn cause a serious effect to the human being. Usual statistical analysis assumes the normality of error distribution or linearity of data. It is desirable to analyze the data without those assumptions for the accuracy of the calibration. In this paper, we calibrated the data nonparametrically without those assumptions and derived confidence interval estimate for the independent variable. As a method, we used kernel method which is popular in modern statistical branch. We derived bootstrap confidence interval estimate from the bootstrap confidence band.

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INVITED PAPER UNORTHODOX BOOTSTRAPS

  • Bickel, Peter-J.
    • Journal of the Korean Statistical Society
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    • v.32 no.3
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    • pp.213-224
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    • 2003
  • We give an overview of results which have appeared or will appear elsewhere demonstrating that by suitably modifying the bootstrap principle, its applicability can be greatly enhanced. Although we state our results for the iid case, extensions are, at least heuristically, easy.

Triple-band Multiplexer for a Low Power Portable Base Station (이동통신 기지국용 삼중대역 멀티플렉서)

  • Seo, Soo-Duk;Cho, Hak-Rea;Yang, Doo-Yeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.12
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    • pp.7309-7316
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    • 2014
  • In this paper, a triple-band multiplexer using a microstrip transmission line was designed and fabricated to make use of a low power portable base station. This multiplexer was used in the triple-band including the cellular, WCDMA and LTE mobile frequency band, and designed to have an insertion loss of 0.8 dB, low SWR of 1.5 in the passband and a band rejection of 15 dB in the stopband. From the measured results obtained by a confidence test for the fabricated multiplexer samples, the maximum insertion loss and SWR of the fabricated multiplexer samples in all passbands of 824-894MHz, 1920-2170 MHz and 2500-2600 MHz were below 0.71 dB and 1.38, and the attenuations in the stopbands were better than 15 dB. Therefore, the triple-band multiplexer has good performance and satisfies the design specifications.