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020 ▼a 9781392599679
035 ▼a (MiAaPQ)AAI13812887
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 330
1001 ▼a Casini, Alessandro.
24510 ▼a Improved Methods for Statistical Inference in the Context of Various Types of Parameter Variation.
260 ▼a [S.l.]: ▼b Boston University., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 572 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-05, Section: A.
500 ▼a Advisor: Perron, Pierre.
5021 ▼a Thesis (Ph.D.)--Boston University, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a This dissertation addresses various issues related to statistical inference in the context of parameter time-variation. The problem is considered within general regression models as well as in the context of methods for forecast evaluation. The first chapter develops a theory of evolutionary spectra for heteroskedasticity and autocorrelation-robust (HAR) inference when the data may not satisfy secondorder stationarity. We introduce a class of nonstationary stochastic processes that have a time-varying spectral representation and presents a new positive semidefinite heteroskedasticity- and autocorrelation consistent (HAC) estimator. We obtain an optimal HAC estimator under the mean-squared error (MSE) criterion and show its consistency. We propose a data-dependent procedure based on a "plug-in" approach that determines the bandwidth parameters for given kernels and a given sample size. The second chapter develops a continuous record asymptotic framework to build inference methods for the date of a structural change in a linear regression model. We impose very mild regularity conditions on an underlying continuous-time model assumed to generate the data. We consider the least-squares estimate of the break date and establish consistency and convergence rate. We provide a limit theory for shrinking magnitudes of shifts and locally increasing variances. The third chapter develops a novel continuous-time asymptotic framework for inference on whether the predictive ability of a given forecast model remains stable over time. As the sampling interval between observations shrinks to zero the sequence of forecast losses is approximated by a continuous-time stochastic process possessing certain pathwise properties. We consider an hypotheses testing problem based on the local properties of the continuous-time limit counterpart of the sequence of losses. The fourth chapter develops a class of Generalized Laplace (GL) inference methods for the change-point dates in a linear time series regression model with multiple structural changes. The GL estimator is defined by an integration rather than optimization-based method and relies on the least-squares criterion function. On the theoretical side, depending on some smoothing parameter, the class of GL estimators exhibits a dual limiting distribution
590 ▼a School code: 0017.
650 4 ▼a Economics.
690 ▼a 0501
71020 ▼a Boston University. ▼b Economics GRS.
7730 ▼t Dissertations Abstracts International ▼g 81-05A.
773 ▼t Dissertation Abstract International
790 ▼a 0017
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490762 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK