scholarly journals Optimal Berry-Esséen bound for maximum likelihood estimation of the drift parameter in $$\alpha $$-Brownian bridge

2020 ◽  
Author(s):  
Khalifa Es-Sebaiy ◽  
Jabrane Moustaaid
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Brownian Bridge ◽  
Likelihood Estimation ◽  
Drift Parameter

Sequential Maximum Likelihood Estimation for the Parameter of the Linear Drift Term of the Rayleigh Diffusion Process

2015 ◽  
Vol 16 (1) ◽  
pp. 35-41
Author(s):  
Nenghui Kuang ◽  
Chunli Li ◽  
Huantian Xie
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Diffusion Process ◽  
Simulation Study ◽  
Likelihood Estimation ◽  
Likelihood Estimator ◽  
Linear Drift ◽  
Drift Term ◽  
Strongly Consistent ◽  
Drift Parameter

AbstractIn this paper, we investigate the properties of a sequential maximum likelihood estimator of the unknown linear drift parameter for the Rayleigh diffusion process. The estimator is shown to be closed, unbiased, normally distributed and strongly consistent. Finally a simulation study is presented to illustrate the efficiency of the estimator.

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