最大似然估计 Resources

Showing items tagged with "最大似然估计"

MATLAB implementation for estimating GARCH(1,1) model parameters using Maximum Likelihood Estimation (MLE). Includes simulation-based validation testing for Type I and Type II errors (size and power tests) to ensure correct model specification and statistical reliability.

MATLAB 288 views Tagged

In face recognition using sparse representation methods, the fidelity of sparse representation is typically expressed as the L2 norm of the residual. Maximum likelihood estimation theory demonstrates that this formulation requires residuals to follow a Gaussian distribution, an assumption that often fails in practical scenarios, particularly when test images contain abnormal pixels from noise, occlusion, or disguise. This limitation reduces the robustness of traditional sparse representation models built on conventional fidelity expressions. The maximum likelihood sparse representation recognition model addresses this by reformulating the fidelity expression as a maximum likelihood distribution function for residuals, transforming the maximum likelihood problem into a weighted optimization framework with enhanced robustness against abnormal pixels.

MATLAB 243 views Tagged

Maximum Likelihood Estimation (MLE), also known as maximum probability estimation, is a theoretical point estimation method. Its fundamental principle is that after randomly drawing n sets of sample observations from a population model, the most reasonable parameter estimator should maximize the probability of obtaining these n sample observations from the model. Unlike least squares estimation which aims to find parameters that best fit sample data, MLE focuses on probability maximization. Implementation typically involves defining a likelihood function and using optimization algorithms to find parameter values that maximize this function.

MATLAB 632 views Tagged