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Showing 1 to 20 of 46 for “"regularity conditions"”.

  1. Quasiconvex optimization via generalized gradients and symmetric duality

    … are studied using Clarke's subgradients. Several conditions sufficient for optimality are derived. Under certain regularity conditions on the constraint functions, we also prove that a modified version of the classical Karush-Kuhn-Tucker conditions is both necessary and sufficient for optimality. …

    uiuc Repository record for Quasiconvex optimization via generalized gradients and symmetric duality (opens in a new tab)

  2. Rationalizability and Monotonicity in Large Auctions With Noise Traders

    … private signal distribution satisfies the regularity conditions, the limit economy may not be well defined. Thus, we are only interested in the models with replicated players where limit trading models are well defined. We show that in those restricted models, the set of interim …

    uiuc Repository record for Rationalizability and Monotonicity in Large Auctions With Noise Traders (opens in a new tab)

  3. On Logistic Regression Approach to Survival Data and Power Divergence Statistics for Life Tables

    … are developed. It is shown that under some regularity conditions the hazard rate and survival function estimators are consistent and their corresponding asymptotic normality results also hold. Extension of Efron's method to regression model is proposed and their asymptotic properties again …

    uiuc Repository record for On Logistic Regression Approach to Survival Data and Power Divergence Statistics for Life Tables (opens in a new tab)

  4. On estimating the score function and the choice of the smoothing parameter with applications to adaptive estimations

    … using smoothing spline techniques. Under mild regularity conditions, Cox's estimate is consistent and achieves the optimal rate of convergence. This approach is appealing not only because it is based directly on penalized likelihood methods for the score function rather than some other related …

    uiuc Repository record for On estimating the score function and the choice of the smoothing parameter with applications to adaptive estimations (opens in a new tab)

  5. Statistical Methods For Biomarker Threshold Models in Clinical Trials

    … models with unknown cut-point for which the regularity conditions of ordinary likelihood methods are not satisfied. We first approximate the indicator function defining biomarker subgroups by a smooth continuous function. To overcome irregularities, we develop a penalized likelihood method, …

    queens Repository record for Statistical Methods For Biomarker Threshold Models in Clinical Trials (opens in a new tab)

  6. DIMTEST Enhancements and Some Parametric IRT Asymptotics

    … parameters using a new approach under some regularity conditions. It is shown that when uniformly consistent ability parameter estimates are available and used as the true ability values, consistent item parameter estimates exist in a subsequence of their MLE estimates assuming ability …

    uiuc Repository record for DIMTEST Enhancements and Some Parametric IRT Asymptotics (opens in a new tab)

  7. Contributions to Semiparametric Inference to Biased-Sampled and Financial Data

    … normality, are established under suitable regularity conditions. We performed simulation and case studies to demonstrate the feasibility and effectiveness of the proposed method. The second part of this thesis investigates a unified estimation method for semiparametric linear transformation …

    columbia-diss Repository record for Contributions to Semiparametric Inference to Biased-Sampled and Financial Data (opens in a new tab)

  8. Supercritical Semi-Linear Elliptic Problems Using Variational Principles

    … elliptic problems with different boundary conditions. First, it establishes the existence of a nontrivial solution for a Neumann problem in the unit ball, where the nonlinearity f(u) has a continuous primitive. Then, the dissertation explores a Dirichlet boundary problem in a bounded …

    carleton Repository record for Supercritical Semi-Linear Elliptic Problems Using Variational Principles (opens in a new tab)

  9. Interior point and outer approximation methods for conic optimization

    … problems in conic form is that, under certain regularity conditions, a conic problem has a simple and easily checkable certificate of optimality, primal infeasibility, or dual infeasibility. As a natural generalization of linear programming duality, conic duality allows us to design powerful …

    mit Repository record for Interior point and outer approximation methods for conic optimization (opens in a new tab)

  10. The formal definition of reference priors under a general class of divergence

    … In special cases with common support and other regularity conditions, Ghosh, Mergel and Liu (2011) derived a general f-divergence criterion for prior selection. We generalize Ghosh, Mergel and Liu's (2011) results to the case without common support and show how an explicit expression for the …

    missouri Repository record for The formal definition of reference priors under a general class of divergence (opens in a new tab)

  11. Three essays in microeconomics of public enterprises under asymmetric information and uncertainty

    … firm is high. The results depend on the assumed regularity conditions and are obtained for a continuous space.

    uiuc Repository record for Three essays in microeconomics of public enterprises under asymmetric information and uncertainty (opens in a new tab)

  12. Accelerated Bayesian experimental design for chemical kinetic models

    The optimal selection of experimental conditions is essential in maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. A general Bayesian framework for optimal experimental design with nonlinear …

    mit Repository record for Accelerated Bayesian experimental design for chemical kinetic models (opens in a new tab)

  13. Functional formalism for algebraic classical and quantum field theories

    … restrained by locality, covariance and other regularity conditions. One of the additional constraints used was to require continuous and analytic dependence on the metric and coupling parameters. It was recently shown that this rather strong requirement could be weakened, in the case of Wick …

    trento Repository record for Functional formalism for algebraic classical and quantum field theories (opens in a new tab)

  14. Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions

    … must make a choice as to the required boundary regularity of solutions. When only weak regularity conditions are imposed, the harmonic mixed problem has been solved on smooth domains in the plane by Wendland, Stephan, and Hsiao. Significant advances were later made on Lipschitz domains by Ott …

    syracuse-diss Repository record for Mixed Problems and Layer Potentials for Harmonic and Biharmonic Functions (opens in a new tab)

  15. Simultaneous White Noise Models and Optimal Recovery of Functional Data

    … Gaussian process on [0,1] satisfying prescribed regularity conditions. The data consist of discrete samplings of these realizations in i.i.d. Gaussian noise and the goal is estimation of the underlying trajectories. Further, we want our estimates to enjoy expected L2 errors, conditioned on the …

    toronto-retro Repository record for Simultaneous White Noise Models and Optimal Recovery of Functional Data (opens in a new tab)

  16. Sparse Grid Interpolation

    … high-dimensional functions under certain regularity conditions. In this thesis, we present the classical sparse grid where the problem is discretized and solved on a certain sequence of conventional grids with uniform mesh sizes in each coordinate direction. Furthermore, the di erent types …

    aus-cath Repository record for Sparse Grid Interpolation (opens in a new tab)

  17. Sparse Grid Interpolation

    … high-dimensional functions under certain regularity conditions. In this thesis, we present the classical sparse grid where the problem is discretized and solved on a certain sequence of conventional grids with uniform mesh sizes in each coordinate direction. Furthermore, the di erent types …

    anu Repository record for Sparse Grid Interpolation (opens in a new tab)

  18. Heterogeneity in regional economic models: disaggregation and integration

    … is used for more straightforward imposition of regularity conditions. The Bayesian model confirms elastic labor demand for youth workers, which is consistent with what past studies find. Comparison with other conventional methods suggests that among the regularity conditions that a cost function …

    uiuc Repository record for Heterogeneity in regional economic models: disaggregation and integration (opens in a new tab)

  19. Cylindrically symmetric models of gravitational collapse

    … with a Robertson-Walker interior. The matching conditions show that the interior must be dust filled, the boundary must be comoving and the vacuum region must be polarized. We use a result of Thorne's to simplify the line element. We can then prove that the matching is impossible. This …

    dcu Repository record for Cylindrically symmetric models of gravitational collapse (opens in a new tab)

  20. Estimation and Testing Methods for Monotone Transformation Models

    … sparsity and asymptotic normality under certain regularity conditions. The smoothing technique is used to estimate the monotone transformation function as well. The smoothed rank-based estimate of the transformation function is uniformly consistent and converges weakly to a Gaussian process which …

    columbia-diss Repository record for Estimation and Testing Methods for Monotone Transformation Models (opens in a new tab)

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