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中山大学岭南学院高级计量经济学课件（I）CH6 Maximum Likelihood Estimation
中山大学岭南学院 高级计量经济学 课件（I） CH6 Maximum Likelihood Estimation
2017/6/14
中山大学岭南学院高级计量经济学课件（I）CH6 Maximum Likelihood Estimation。
Maximum likelihood estimation of a nonparametric signal in white noise by optimal control
Nonparametric signal in white noise Maximum likelihood Smoothness classes Extremal problems Optimal control Iterative solution
2015/8/25
We study extremal problems related to nonparametric maximum likelihood estimation (MLE) of a signal in white noise.The aim is to reduce these to standard problems of optimal control which can be solve...
Detecting the Presence of Mixing with Multiscale Maximum Likelihood
Log-concave Mixture detection
2015/8/20
A test of homogeneity tries to decide whether observations come from a single distribution or from a mixture of several distributions.
A powerful theory has been developed for the case where the comp...
MULTISCALE MAXIMUM LIKELIHOOD ANALYSIS OF A SEMIPARAMETRIC MODEL, WITH APPLICATIONS
LIKELIHOOD ANALYSIS SEMIPARAMETRIC MODEL WITH APPLICATIONS
2015/8/20
A special semiparametric model for a univariate density is introduced
that allows analyzing a number of problems via appropriate transformations. Two problems treated in some detail are testing for t...
Discussion of ‘Maximum likelihood estimation of a multi-dimensional log-concave density’ by M. Cule, R. Samworth and M. Stewart
likelihood estimation multi-dimensional log-concave density
2015/8/20
I started looking at log-concave distributions when I was searching for an appropriate model
for subpopulations of multivariate flow cytometry data about ten years ago. The use of log-concave
...
Independent component analysis via nonparametric maximum likelihood estimation
Blind source separation density estimation independent component analysis log-concave projection
2012/6/19
Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector $X = AS$, where $A$ is a non-singular matrix and $S$ has in...
Maximum-Likelihood Non-Decreasing Response Estimates
maximum likelihood unimodal PDF families non-decreasing response estimates
2011/8/25
Abstract: Let $x_{i,j}$, $1 \le i \le m$, $1 \le j \le n_i$, be observations from a doubly-indexed sequence $\{X_{i,j}\}$ of independent random variables (all of them discrete, or all of them absolute...
Non-Parametric Maximum Likelihood Density Estimation and Simulation-Based Minimum Distance Estimators
Non-Parametric Maximum Likelihood Density Estimation Simulation-Based Minimum Distance Estimators
2011/2/22
Indirect inference estimators (i.e., simulation-based minimum distance estimators) in a
parametric model that are based on auxiliary non-parametric maximum likelihood density
estimators are shown to...
Geometry of maximum likelihood estimation in Gaussian graphical models
Geometry of maximum likelihood estimation Gaussian graphical models
2011/1/21
We study maximum likelihood estimation in Gaussian graphical models from a geometric point of view. An algebraic elimination criterion allows us to nd exact lower bounds on the number of observations...
Asymptotic Properties of the Maximum Likelihood Estimate in Generalized Linear Models with Stochastic Regressors
Generalized linear models Consistency Asymptotic normality
2007/12/12
For generalized linear models (GLM), in case the regressors are stochastic and have different distributions, the asymptotic properties of the maximum likelihood estimate (MLE) $\hat{\beta}_n$ of the p...