• 품질경영학회지
• /
• 제28권2호
• /
• pp.39-56
• /
• 2000

${\overline{X}}$ control chart has proven to be an effective tool to improve the product quality. Shewhart charts assume that the observations are independent and normally distributed. Under the presence of positive autocorrelation and severe skewness, the control limits are not accurate because assumptions are violated- Autocorrelation in process measurements results in frequent false alarms when standard control chats are applied in process monitoring. In this paper, Threshold Bootstrap and Moving Block Bootstrap are used for constructing a confidence interval of correlated observations. Monte Carlo simulation studies are conducted to compare the performance of the bootstrap methods and that of standard method for constructing control charts under several conditions.

• 수산경영론집
• /
• 제52권1호
• /
• pp.23-46
• /
• 2021

The purpose of this study is to understand the production efficiency of individual fishing communities and provide directions for improvement. The subject of the study is aquaculture type Ochon-Gye in Goheung-gun. The analysis method used bootstrap-DEA to overcome the statistical reliability problem of the traditional DEA analysis technique. In addition, data mining-GIS was applied to identify the spatial productivity of fishing communities. The values of technology efficiency, pure technology efficiency, and scale efficiency were estimated for 32 aquaculture-type fishing villages. Then, using the benchmarking reference set and weights, the projection was presented through adjustment of the input factor excess, and furthermore, the confidence interval of the efficiency values considering statistical significance was estimated using bootstrap.

• Communications for Statistical Applications and Methods
• /
• 제23권4호
• /
• pp.269-285
• /
• 2016

In this paper, a simple step-stress accelerated life test (ALT) under progressive type-II censoring is considered. Progressive type-II censoring and accelerated life testing are provided to decrease the lifetime of testing and lower test expenses. The cumulative exposure model is assumed when the lifetime of test units follows an extension of the exponential distribution. Maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are also obtained. In addition, a real dataset is analyzed to illustrate the proposed procedures. Approximate, bootstrap and credible confidence intervals (CIs) of the estimators are then derived. Finally, the accuracy of the MLEs and BEs for the model parameters is investigated through simulation studies.

• Communications for Statistical Applications and Methods
• /
• 제24권1호
• /
• pp.29-41
• /
• 2017

The estimation problem of expected time to failure of units is studied in a discrete set up. A simple step-stress accelerated life testing is considered with a Type-I censored sample from geometric distribution that is a commonly used distribution to model the lifetime of a device in discrete case. Maximum likelihood estimators as well as the associated distributions are derived. Exact, approximate and bootstrap approaches construct confidence intervals that are compared via a simulation study. Optimal confidence intervals are suggested in view of the expected width and coverage probability criteria. An illustrative example is also presented to explain the results of the paper. Finally, some conclusions are stated.

• 한국국방경영분석학회지
• /
• 제12권2호
• /
• pp.68-81
• /
• 1986

This thesis studies the estimation from interarrival and service time data of the mean number of customers in service at time t for an $M/G/{\infty}$ queue. The assumption is that the parametric form of the service time distribution is unknown and the empirical distribution of twe service time is used in the estimate the mean number of customers in service. In the case in which the customer arrival rate is known the distribution of the estimate is derived and an approximate normal confidence interval procedure is suggested. The use of the nonparametric methods, which are the jackknife and the bootstrap, to estimate variability and construct confidence intervals for the estimate is also studied both analytically and by simulation.

• Food Science and Biotechnology
• /
• 제17권6호
• /
• pp.1352-1356
• /
• 2008

Bootstrap method, a computer-intensive statistical technique to estimate the distribution of a statistic was applied to deal with uncertainty and variability of the experimental data in stochastic prediction modeling of microbial growth on a chill-stored food. Three different bootstrapping methods for the curve-fitting to the microbial count data were compared in determining the parameters of Baranyi and Roberts growth model: nonlinear regression to static version function with resampling residuals onto all the experimental microbial count data; static version regression onto mean counts at sampling times; dynamic version fitting of differential equations onto the bootstrapped mean counts. All the methods outputted almost same mean values of the parameters with difference in their distribution. Parameter search according to the dynamic form of differential equations resulted in the largest distribution of the model parameters but produced the confidence interval of the predicted microbial count close to those of nonlinear regression of static equation.

• 한국해안·해양공학회논문집
• /
• 제25권4호
• /
• pp.191-199
• /
• 2013

부산항 신항에서 측정한 14년 동안의 파랑자료를 이용하여 재현기간에 따른 설계파고와 신뢰구간을 추정 분석하였다. 극치분석에 사용한 함수는 Gumbel 함수와 Weibull 함수, Kernel 함수이며, 각각의 방법으로 추정한 설계파고의 신뢰구간을 Monte-Carlo 모의기법 중의 하나인 Bootstrap 방법으로 추정하였다. 설계파고의 추정 신뢰구간을 분석한 결과, 약 ${\pm}$10% 수준의 신뢰구간을 만족하기 위해서는 150년 이상의 자료가 필요한 것으로 파악되었다. 그리고 실질적으로 가능한 자료의 개수를 25~50개 정도(25~50년 동안의 추정자료)로 간주하는 경우, Type I 분포함수의 경우 허용오차가 ${\pm}$16~22% 정도이며, Type III 분포함수의 경우, ${\pm}$18~24% 정도로 파악되었다. 한편 비모수적 방법에 해당하는 Kernel 분포함수를 이용한 방법은 Type I과 III을 사용한 것에 비해 신뢰구간은 40% 이하 수준으로 우수한 결과를 보이는 반면, 설계파고는 1.2~1.6 m 정도 낮게 추정하는 결과를 보여주고 있다.

• 응용통계연구
• /
• 제27권3호
• /
• pp.461-473
• /
• 2014

꼬리가 두꺼운 분포의 고분위수에 대한 신뢰구간을 연구하였다. 통계량의 극한 분포에 근거한 점근적 방법과 붓스트랩 방법을 같이 고려하였다. 이 두 방법에 모수적, 비모수적, 준모수적 기법을 각각 적용할 수 있는데, 전체 11가지 신뢰구간의 성능을 실제신뢰수준과 길이로 비교하였다. 모의실험 결과 준모수적이면서 점근적인 신뢰구간과 축량을 이용하는 준모수적 붓스트랩 신뢰구간이 실제신뢰수준의 기준에서 안정된 성능을 보인다는 것을 알 수 있었다.

• Journal of the Korean Data and Information Science Society
• /
• 제15권1호
• /
• pp.41-47
• /
• 2004

DNA marker 95bp and 100bp are selected as major DNA markers of the BM4311 microsatellite locus in progeny test Hanwoo chromosome 6 linkage map. This document is tried to know whether DNA marker 95bp and 100bp are also major DNA markers in Hanwoo performance valuation in chromosome 6 linkage map. The bootstrap BCa method will be used to calculate confidence interval for DNA markers.

• 응용통계연구
• /
• 제28권3호
• /
• pp.485-494
• /
• 2015

정준대응분석은 생태학에서 장소, 종 그리고 환경변수의 관계를 시각적으로 보기 위해 가장 많이 사용되는 서열화 방법 중의 하나이다. 그런데 이 방법은 표본이 바뀔 때마다 분석결과가 달라지기 때문에 종 간의 생태학적 유사성에 대한 일관된 해석을 어렵게 한다. 본 연구에서는 이러한 문제점을 해결하기 위해 정준대응분석에 붓스트랩 방법을 활용하였다. 이를 통해 전체 관찰 자료수에 반비례하여 좌표점의 변이가 나타나고, 붓스트랩 신뢰구간을 사용한 포함확률이 명목확률에 근사함을 확인하였다.