Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"Inverse regression"”.
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Using inverse regression models to create gray box models for industrial facilities
… of change-point models, they are better for regression analysis unless uncertainty is required. This study then investigates using three parameter cooling change-point regression models to determine the physical parameters, specifically overall heat transfer coefficient, surface area, and …
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On finding confidence intervals for the inverse regression method of linear calibration
… one estimates the independent variable x in a regression situation for a measured value of the dependent variable y. The Classical estimator is obtained by expressing the linear model as y<sub>i</sub> = α + βx<sub>i</sub> + ε<sub>i</sub>, obtaining the least squares estimator for y for a given …
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Robust and Constrained Dimension Reduction
… is asymptotically equivalent to the sliced inverse regression (SIR) method, and reduces dimensionality by replacing the explanatory variables with a small number of composite directions without losing much information. However, the estimates by CANCOR are sensitive to outliers. In this …
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A comparison of the classical and inverse methods of calibration in regression
… calibration problem, frequently referred to as inverse regression or the discrimination problem can be stated briefly as the problem of estimating the independent variable x in a regression situation for a measured value of the dependent variable y. The literature on this problem deals primarily …
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Sufficient Dimension Reduction with Missing Data
… the dissertation focuses on the seminal sliced inverse regression (SIR) approach proposed by Li (1991). We show that missing responses generally affect the validity of the inverse regressions under the mechanism of missing at random. We then propose a simple and effective adjustment with inverse …
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Statistical Calibration Theory
… the predicted and true X values. This leads to inverse regression and Bayesian prediction.</p> <p>Methods for both classical and inverse calibration are given for linear univariate and multivariate, and quadratic univariate and multivariate models. Asymptotic means and variances of the X …
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Linear regression techniques for identifying influential data and applications in commercial data analysis
… practical applications, ordinary least squares regression is often inappropriate, and the use of biased estimators may be preferable. In this thesis, the existing theory is extended to several alternative regression techniques. Ridge regression and generalized inverse regression are suitable …
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Model-based methods for high-dimensional multivariate analysis
… estimators of the multivariate response linear regression coefficient matrix that exploits the assumption that the response and predictors have a joint multivariate normal distribution. This allows us to indirectly estimate the regression coefficient matrix through shrinkage estimation of the …
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Nonparametric variable selection and dimension reduction methods and their applications in pharmacogenomics
… including variable selection using local regression and extended dimension reduction techniques, to detect nonlinear patterns in the relationship between genetic variants and clinical response.^ High dimensional data analysis has become a popular research topic in the Statistics society in …
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Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
… identification problems in PDEs. In particular, inverse regression models for elliptic equations and stochastic diffusion models are considered. In Chapter 2, we study the statistical inverse problem of recovering an unknown function from a linear indirect measurement corrupted by additive …
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Detection of Anomalies In Drilled Shafts Using theImpedance Log Method
… up to 9% shorter. A new amplifier called the "inverse regression" amplifier was investigated and produced similar results to the general amplifier. The implication of observing multiple reflections from shallow anomalies is also investigated.</p>