scholarly journals Empirical Bayes Inference for the Parameter of Power Distribution Based on Ranked Set Sampling

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Naiyi Li ◽  
Yuan Li ◽  
Yongming Li ◽  
Yang Liu
Keyword(s):  
Power Distribution ◽  
Empirical Bayes ◽  
Ranked Set Sampling ◽  
Bayes Inference ◽  
Bayes Test

This research is based on ranked set sampling. Through the analysis and proof, the empirical Bayes test rule and asymptotical property for the parameter of power distribution are obtained.

scholarly journals Oscillatory Biomedical Signals: Frontiers in Mathematical Models and Statistical Analysis

2021 ◽  
Vol 7 ◽  
Author(s):  
Hau-Tieng Wu ◽  
Tze Leung Lai ◽  
Gabriel G. Haddad ◽  
Alysson Muotri
Keyword(s):  
Statistical Analysis ◽  
Empirical Bayes ◽  
Network Formation ◽  
Markov Models ◽  
Hidden Markov ◽  
Biomedical Signals ◽  
Time Frequency ◽  
Bayes Inference ◽  
Cardiorespiratory Patterns ◽  
Parameter Estimators

Herein we describe new frontiers in mathematical modeling and statistical analysis of oscillatory biomedical signals, motivated by our recent studies of network formation in the human brain during the early stages of life and studies forty years ago on cardiorespiratory patterns during sleep in infants and animal models. The frontiers involve new nonlinear-type time–frequency analysis of signals with multiple oscillatory components, and efficient particle filters for joint state and parameter estimators together with uncertainty quantification in hidden Markov models and empirical Bayes inference.

scholarly journals Empirical Bayes Inference of Pairwise FST and Its Distribution in the Genome

Genetics ◽  
2007 ◽  
Vol 177 (2) ◽  
pp. 861-873 ◽  
Author(s):  
Shuichi Kitada ◽  
Toshihide Kitakado ◽  
Hirohisa Kishino
Keyword(s):  
Empirical Bayes ◽  
Bayes Inference
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