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Random Weighting Approach In Nonlinear and Hierarchical Regression Models
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Random Weighting Approach In Nonlinear and Hierarchical Regression Models. |
| 개인저자 | Zhang, Yue. |
| 단체저자명 | Purdue University. Mathematics. |
| 발행사항 | [S.l.]: Purdue University., 2018. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
| 형태사항 | 110 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088311547 |
| 학위논문주기 | Thesis (Ph.D.)--Purdue University, 2018. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Boukai, Benzion. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | Nonlinear regression models with random and fixed effects are commonly used to analyze repeated measures data. Such data, consisting of repeated measurements taken on several individuals, typically arise in biological and biomedical applications amongst many other applications. The standard two-stage estimation (STS) method is intuitive and simple to implement in such circumstance, but the main difficulty is that not much is available on the sampling distribution of the resulting parameters estimates. In this work, we develop re-sampled versions of the least squares estimators (LSE) of the parameters in nonlinear regression as well as hierarchical nonlinear regression models. The approach we take for re-sampling is based on a general random weighting technique, however implemented in the more complex context of the hierarchical regression models which are not restricted to the typical normality assumption of the random components. We obtain the asymptotic properties on consistency and distribution of the resample (or recycled) LSE in the nonlinear regression as well as in the hierarchical regression models using the so-called Standard Two Stage (STS) estimation procedure. In particularly, we have proved the recycled LSE and STS estimates have an asymptotic normal distribution. Additionally, we conducted extensive simulation studies to evaluate and demonstrate the finite-sample properties of the recycled LSE in nonlinear regression, the STS estimates as well as recycled STS estimates in the hierarchical nonlinear regression models. Furthermore, we illustrated the application of the proposed estimation procedures with two real-data examples. |
| 일반주제명 | Statistics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
