• Title/Summary/Keyword: BOOTSTRAP

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Comparison of the Kaplan-Meier and Nelson Estimators using Bootstrap Confidence Intervals

  • Cha, Young Joon;Lee, Jae Man
    • 품질경영학회지
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    • 제23권4호
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    • pp.42-51
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    • 1995
  • The bootstrap confidence intervals are a computer-based method for assigning measures of accuracy to statistical estimators. In this paper we examine the small sample behavior of the Kaplan-Meier and Nelson-type estimators for the survival function using the bootstrap and asymptotic normal-theory confidence intervals. The Nelson-type estimator is nearly always better than the Kaplan-Meier estimator in the sense of achieved error rates. From the point of confidence length, the reverse is true. Also, we show that the bootstrap confidence intervals are better than the asymptotic normal-theory confidence intervals in terms of achieved error rates and confidence length.

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Constructing Simultaneous Confidence Intervals for the Difference of Proportions from Multivariate Binomial Distributions

  • Jeong, Hyeong-Chul;Kim, Dae-Hak
    • 응용통계연구
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    • 제22권1호
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    • pp.129-140
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    • 2009
  • In this paper, we consider simultaneous confidence intervals for the difference of proportions between two groups taken from multivariate binomial distributions in a nonparametric way. We briefly discuss the construction of simultaneous confidence intervals using the method of adjusting the p-values in multiple tests. The features of bootstrap simultaneous confidence intervals using non-pooled samples are presented. We also compute confidence intervals from the adjusted p-values of multiple tests in the Westfall (1985) style based on a pooled sample. The average coverage probabilities of the bootstrap simultaneous confidence intervals are compared with those of the Bonferroni simultaneous confidence intervals and the Sidak simultaneous confidence intervals. Finally, we give an example that shows how the proposed bootstrap simultaneous confidence intervals can be utilized through data analysis.

Geometric charts with bootstrap-based control limits using the Bayes estimator

  • Kim, Minji;Lee, Jaeheon
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.65-77
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    • 2020
  • Geometric charts are effective in monitoring the fraction nonconforming in high-quality processes. The in-control fraction nonconforming is unknown in most actual processes; therefore, it should be estimated using the Phase I sample. However, if the Phase I sample size is small the practitioner may not achieve the desired in-control performance because estimation errors can occur when the parameters are estimated. Therefore, in this paper, we adjust the control limits of geometric charts with the bootstrap algorithm to improve the in-control performance of charts with smaller sample sizes. The simulation results show that the adjustment with the bootstrap algorithm improves the in-control performance of geometric charts by controlling the probability that the in-control average run length has a value greater than the desired one. The out-of-control performance of geometric charts with adjusted limits is also discussed.

Data-Mining Bootstrap Procedure with Potential Predictors in Forecasting Models: Evidence from Eight Countries in the Asia-Pacific Stock Markets

  • Lee, Hojin
    • East Asian Economic Review
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    • 제23권4호
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    • pp.333-351
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    • 2019
  • We use a data-mining bootstrap procedure to investigate the predictability test in the eight Asia-Pacific regional stock markets using in-sample and out-of-sample forecasting models. We address ourselves to the data-mining bias issues by using the data-mining bootstrap procedure proposed by Inoue and Kilian and applied to the US stock market data by Rapach and Wohar. The empirical findings show that stock returns are predictable not only in-sample but out-of-sample in Hong Kong, Malaysia, Singapore, and Korea with a few exceptions for some forecasting horizons. However, we find some significant disparity between in-sample and out-of-sample predictability in the Korean stock market. For Hong Kong, Malaysia, and Singapore, stock returns have predictable components both in-sample and out-of-sample. For the US, Australia, and Canada, we do not find any evidence of return predictability in-sample and out-of-sample with a few exceptions. For Japan, stock returns have a predictable component with price-earnings ratio as a forecasting variable for some out-of-sample forecasting horizons.

Design of Bootstrap Power Supply for Half-Bridge Circuits using Snubber Energy Regeneration

  • Chung, Se-Kyo;Lim, Jung-Gyu
    • Journal of Power Electronics
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    • 제7권4호
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    • pp.294-300
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    • 2007
  • This paper deals with a design of a bootstrap power supply using snubber energy regeneration, which is used to power a high-side gate driver of a half-bridge circuit. In the proposed circuit, the energy stored in the low-side snubber capacitor is transferred to the high-side bootstrap capacitor without any magnetic components. Thus, the power dissipation in the RCD snubber can be effectively reduced. The operation principle and design method of the proposed circuit are presented. The experimental results are also provided to show the validity of the proposed circuit.

시계열 모형에서 붓스트랩 기법을 이용한 $\bar{x}$ 와 EWMA 관리도의 수행도 평가 (-Performance Evaluation of $\bar{x}$ and EWMA Control Charts for Time series Model using Bootstrap Technique-)

  • 송서일;손한덕
    • 산업경영시스템학회지
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    • 제23권57호
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    • pp.123-129
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    • 2000
  • The Bootstrap method proposed by Efron is non-parametric method which doesn't depend on the estimation of prior distribution refer to population. A typical statistical process control chart which is generally used is developed under the assumption that observations follow mutually independent and identically distributed within a sample and between samples. However, autocorrelation greatly affect the developed control chart under the assumption that observations are mutually independent. Many researchers showed that the result which was analyzed by using a typical control chart for the observations which has the correlation violated to the independence assumption can not be true. Therefore, we compared the standard method with bootstrap method and then evaluated them for x control chart and EWMA control chart by using bootstrap method which was proposed by Efron in the AR(1) model when the observations have correlation.

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경제위기시 환율신뢰구간 예측 알고리즘 개발 (Confidence interval forecast of exchange rate based on bootstrap method during economic crisis)

  • 김태윤;권오진
    • Journal of the Korean Data and Information Science Society
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    • 제22권5호
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    • pp.895-902
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    • 2011
  • 본 연구는 경제위기시 환율의 신뢰구간 예측 알고리즘을 개발하는 것을 주된 목적으로 한다. 경제위기시 환율의 움직임의 특징은 평상시에 비해 변동성이 극도로 증가한다는 점이다. 본 연구에서는 이러한 변동성을 효율적으로 추정하기 위해 시계열 데이터의 변동성 추정에 유용한 것으로 알려진 블록 붓스트랩 기법을 사용하여 그 유용성을 보인다.

Estimating Prediction Errors in Binary Classification Problem: Cross-Validation versus Bootstrap

  • Kim Ji-Hyun;Cha Eun-Song
    • Communications for Statistical Applications and Methods
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    • 제13권1호
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    • pp.151-165
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    • 2006
  • It is important to estimate the true misclassification rate of a given classifier when an independent set of test data is not available. Cross-validation and bootstrap are two possible approaches in this case. In related literature bootstrap estimators of the true misclassification rate were asserted to have better performance for small samples than cross-validation estimators. We compare the two estimators empirically when the classification rule is so adaptive to training data that its apparent misclassification rate is close to zero. We confirm that bootstrap estimators have better performance for small samples because of small variance, and we have found a new fact that their bias tends to be significant even for moderate to large samples, in which case cross-validation estimators have better performance with less computation.

Bootstrapping Unified Process Capability Index

  • Cho, Joong-Jae;Han, Jeong-Hye;Jo, See-Heyon
    • Journal of the Korean Statistical Society
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    • 제26권4호
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    • pp.543-554
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    • 1997
  • A family of some capability indices { $C_{p}$(.alpha.,.beta.); .alpha..geq.0, .beta..geq.0}, containing the indices $C_{p}$, $C_{{pk}}$, $C_{{pm}}$, and $C_{{pmk}}$, has been defined by Vannman(1993) for the case of two-sided specification interval. By varying the parameters of the family various capability indices with suitable properties are obtained. We derive tha asymptotic distribution of the family { $C_{p}$(.alpha.,.beta.); .alpha..geq.0,.beta..geq.0} under general proper conditions. It is also shown that the bootstrap approximation to the distribution of the estimator $C_{p}$(.alpha., .beta.) is vaild for almost all sample sequences. These asymptotic distributions would be used in constructing some bootstrap confidence intervals.tervals.

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Forecasting interval for the INAR(p) process using sieve bootstrap

  • Kim, Hee-Young;Park, You-Sung
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2005년도 추계 학술발표회 논문집
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    • pp.159-165
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    • 2005
  • Recently, as a result of the growing interest in modelling stationary processes with discrete marginal distributions, several models for integer valued time series have been proposed in the literature. One of theses models is the integer-valued autoregressive(INAR) models. However, when modelling with integer-valued autoregressive processes, there is not yet distributional properties of forecasts, since INAR process contain an accrued level of complexity in using the Steutal and Van Harn(1979) thinning operator 'o'. In this study, a manageable expression for the asymptotic mean square error of predicting more than one-step ahead from an estimated poisson INAR(1) model is derived. And, we present a bootstrap methods developed for the calculation of forecast interval limits of INAR(p) model. Extensive finite sample Monte Carlo experiments are carried out to compare the performance of the several bootstrap procedures.

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