E Bayesian Estimation and Hierarchical Bayesian Estimation of the System Reliability Parameter
نویسندگان
چکیده
منابع مشابه
Bayesian Methods of Parameter Estimation
The frequentest approach is the classical approach to parameter estimation. It assumes that there is an unknown but objectively fixed parameter θ [3]. It chooses the value of θ which maximizes the likelihood of observed data [4], in other words, making the available data as likely as possible. A common example is the maximum likelihood estimator (MLE). The frequentest approach is statistically ...
متن کاملA Model-Based fMRI Analysis with Hierarchical Bayesian Parameter Estimation.
A recent trend in decision neuroscience is the use of model-based fMRI using mathematical models of cognitive processes. However, most previous model-based fMRI studies have ignored individual differences due to the challenge of obtaining reliable parameter estimates for individual participants. Meanwhile, previous cognitive science studies have demonstrated that hierarchical Bayesian analysis ...
متن کاملBayesian Approach to Parameter Estimation
In many problems, before any observations from f(x|θ) are available, the experimenter or statistician will be able to summarize his previous information and knowledge about where in Θ the value of θ is likely to lie by constructing a probability distribution for θ on the set Θ. In other words, before any experimental data have been collected or observed, the experimenter’s past experience and k...
متن کاملA Hierarchical Bayesian Approach for Parameter Estimation in HIV Models
A hierarchical Bayesian approach is developed to estimate parameters at both the individual and the population level in a HIV model, with the implementation carried out by Markov Chain Monte Carlo (MCMC) techniques. Sample numerical simulations and statistical results are provided to demonstrate the feasibility of this approach.
متن کاملBayesian Estimation in Hierarchical Models
Bayesian data analysis involves describing data by meaningful mathematical models, and allocating credibility to parameter values that are consistent with the data and with prior knowledge. The Bayesian approach is ideally suited for constructing hierarchical models, which are useful for data structures with multiple levels, such as data from individuals who are members of groups which in turn ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Systems Engineering Procedia
سال: 2012
ISSN: 2211-3819
DOI: 10.1016/j.sepro.2011.11.031