Consider an ergodic Markov chain on the real line, with parametric models for the conditional mean and variance of the transition distribution. Such a setting is an instance of a quasi-likelihood model. The customary estimator for the parameter is the maximum quasi-likelihood estimator. It is not eecient, but as good as the best estimator that ignores the parametric model for the conditional va...

In this paper the classical estimators of the shape parameter for the Burr Type XII distribution, such as, the Maximum Likelihood Estimator (MLE), the Uniformly Minimum Variance Unbiased Estimator (UMVUE), and the Minimum Mean Squared Error (MinMSE) estimator are obtained. Then the problem of finding the minimax estimators of this parameter under the squared log error, precautionary, and weight...

Causal Inference for Case-Control Studies by Sherri Rose Doctor of Philosophy in Biostatistics University of California, Berkeley Professor Mark van der Laan, Chair Case-control study designs are frequently used in public health and medical research to assess potential risk factors for disease. These study designs are particularly attractive to investigators researching rare diseases, as they a...

A local search Maximum Likelihood (ML) parameter estimator for mono-component chirp signal in low Signal-to-Noise Ratio (SNR) conditions is proposed this paper. The approach combines a deep learning denoising method with two-step estimator. denoiser utilizes residual assisted Denoising Convolutional Neural Network (DnCNN) to recover the structured component, which used denoise original observat...

6.1 Spectral Estimation Methods 6.1.1 Bartlett Method 6.2 Minimum Variance Distortionless Response Estimator 6.3 Linear Prediction Method 6.4 Maximum Entropy Method 6.5 Maximum Likelihood Method 6.6 Eigenstructure Methods 6.7 MUSIC Algorithm 6.7.1 Spectral MUSIC 6.7.2 Root-MUSIC 6.7.3 Constrained MUSIC 6.7.4 Beam Space MUSIC 6.8 Minimum Norm Method 6.9 CLOSEST Method 6.10 ESPRIT Method 6.11 Wei...

Abstract Parameter estimation via unbinned maximum likelihood fits is central for many analyses performed in high energy physics. Unbinned using event weights, example to statistically subtract background contributions the sPlot formalism, or correct acceptance effects, have recently seen increasing use community. However, it well known that naive approach of parameter uncertainties second deri...