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Showing 1 to 12 of 12 for “"delta method"”.
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Sensitivity analysis with simulated data errors : synthetic extinct generations method
… of the Synthetic Extinct Generations (SEG+delta) method in trying to answer research questions raised by Dorrington and Timeaus (2008) and in the process investigates the different sets of combinations of the key components of the SEG+delta method when applied to the 23 error scenarios used …
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Performance of Bootstrap Confidence Region For Binomial Distribution With Unknown Parameters p and m
… binomial distribution. In my case, I focus on method of moment to estimate. Since these estimators do not have moments of all orders, I cannot obtain the mean, variance, and covariance for these estimators. Thus, the Delta Method is used to derive the asymptotic normality of the joint …
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Efficient Prediction of Quantum Chemical Properties with Multitask Gaussian Process Regression
… of DFT. We specifically focus on inference methods based on Gaussian process (GP) regression. One example of such an approach, the Delta method, uses GP regression to model the difference between two different observation data sets, in our case CCSD(T) and DFT. The multitask method, by …
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Computational Aspects of An Asymptotic Analysis of Method of Moments Estimators of Parameters For the Binomial Distribution
… statistics. This research first introduces the method of moments estimators of these parameters, p ̂_n and m ̂_n. Because p ̂_n and m ̂_n do not have mean values and variances, new, modified estimators, p ̃_n and m ̃_n, are presented for the parameters of the binomial distribution. I use the …
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Bootstrap-based confidence intervals in partially accelerated life testing
… parametric and nonparametric bootstrap based methods for obtaining confidence intervals for the parameters of the life distribution as well as a the lower confidence bound for the mean life under normal conditions are developed for both the Weibull and Generalized exponential life …
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Old age mortality in South Africa
… old age groups. The current research applies the method of extinct generations to estimate indirectly the population numbers at the oldest old age groups (75 up to 100 and above) using data on reported deaths alone. Age heaping and year of birth preference in the reported deaths are assessed using …
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Causal Inference Methods for Microbiome Data
This dissertation introduces two complementary methodological frameworks for advancing causal mediation analysis in microbiome research. Microbiome data are characterized by high dimensionality, sparsity, overdispersion, and strong interdependencies, making conventional mediation approaches …
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High-dimensional econometrics and model selection
… of three chapters. Chapter 1 proposes a new method to solve the many moment problem: in Generalized Method of Moments (GMM), when the number of moment conditions is comparable to or larger than the sample size, the traditional methods lead to biased estimators. We propose a LASSO based …
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Modelling of linebreak in high-pressure gas pipes
… such as the friction term; and the numerical method of solution of the basic partial differential equations. A previous model developed by Tiley (1989), overestimated the actual wave speeds and had problems of instability of the solution. A new approach, in which the three basic partial …
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Confidence bands for survival functions under semiparametric random censorship models
… meaningful This dissertation focuses on a novel method of developing one-sample confidence bands for survival functions from right censored data. The approach is model- based, relying on a parametric model for the conditional expectation of the censoring indicator given the observed minimum, and …
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Joint models for nonlinear longitudinal profiles in the presence of informative censoring
… using an underlying binomial distribution. The delta method was subsequently used to derive confidence intervals for the population level duration estimates which were associated with specific covariate patterns. An investigation into the factors affecting the early withdrawal of patients from …