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Resampling Methods in Statistical Inference.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Resampling Methods in Statistical Inference./
作者:
Zhou, Weilian.
面頁冊數:
1 online resource (86 pages)
附註:
Source: Dissertations Abstracts International, Volume: 84-09, Section: B.
Contained By:
Dissertations Abstracts International84-09B.
標題:
Statistics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30308537click for full text (PQDT)
ISBN:
9798374475975
Resampling Methods in Statistical Inference.
Zhou, Weilian.
Resampling Methods in Statistical Inference.
- 1 online resource (86 pages)
Source: Dissertations Abstracts International, Volume: 84-09, Section: B.
Thesis (Ph.D.)--North Carolina State University, 2021.
Includes bibliographical references
In statistical inference, statisticians are trying to infer the property of the population from the samples. In most cases, we are not only interested in the point estimation but also the uncertainty of the estimation such as bias and variance. However, it is impossible to derive the explicit formula of the interest quantity. Resampling methods, a class of nonparametric methods, play an important role in estimating the interested quantities without approaching the explicit formula. There are two main kinds of resampling methods, the Bootstrap and the Jackknife. For Bootstrap, it estimates the sample distribution by sampling with replacement from the original data. For any statistics with the form of the functional of the population distribution, it is very natural to utilize the bootstrap method to construct a plug-in estimator by replacing the population distribution by the empirical distribution. Unlike the bootstrap method, the Jackknife method computes the parameter by systematically leaving out samples. It is useful in estimating the bias and the variance of the statistics. Since the jackknife method doesn't approximate the population distribution, it is not applied as generally as the bootstrap method. However, the jackknife method enjoys the advantage of efficient computing. It is useful in estimating the bias and the variance of the estimators. In this dissertation, we explore the resampling methods in different situations.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023
Mode of access: World Wide Web
ISBN: 9798374475975Subjects--Topical Terms:
517247
Statistics.
Index Terms--Genre/Form:
542853
Electronic books.
Resampling Methods in Statistical Inference.
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Resampling Methods in Statistical Inference.
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Source: Dissertations Abstracts International, Volume: 84-09, Section: B.
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Advisor: Lahiri, Soumendra; Chi, Eric.
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In statistical inference, statisticians are trying to infer the property of the population from the samples. In most cases, we are not only interested in the point estimation but also the uncertainty of the estimation such as bias and variance. However, it is impossible to derive the explicit formula of the interest quantity. Resampling methods, a class of nonparametric methods, play an important role in estimating the interested quantities without approaching the explicit formula. There are two main kinds of resampling methods, the Bootstrap and the Jackknife. For Bootstrap, it estimates the sample distribution by sampling with replacement from the original data. For any statistics with the form of the functional of the population distribution, it is very natural to utilize the bootstrap method to construct a plug-in estimator by replacing the population distribution by the empirical distribution. Unlike the bootstrap method, the Jackknife method computes the parameter by systematically leaving out samples. It is useful in estimating the bias and the variance of the statistics. Since the jackknife method doesn't approximate the population distribution, it is not applied as generally as the bootstrap method. However, the jackknife method enjoys the advantage of efficient computing. It is useful in estimating the bias and the variance of the estimators. In this dissertation, we explore the resampling methods in different situations.
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