Normalized power priors always discount historical data
نویسندگان
چکیده
Power priors are used for incorporating historical data in Bayesian analyses by taking the likelihood of raised to power α as prior distribution model parameters. The parameter is typically unknown and assigned a distribution, most commonly beta distribution. Here, we give novel theoretical result on resulting marginal posterior case normal binomial model. Counterintuitively, when current perfectly mirror sample sizes from both sets become arbitrarily large, does not converge point mass at = 1 but approaches that hardly differs prior. implies complete pooling impossible if with used.
منابع مشابه
Bayesian Models of Data Streams with Hierarchical Power Priors
Making inferences from data streams is a pervasive problem in many modern data analysis applications. But it requires to address the problem of continuous model updating, and adapt to changes or drifts in the underlying data generating distribution. In this paper, we approach these problems from a Bayesian perspective covering general conjugate exponential models. Our proposal makes use of non-...
متن کاملDo not discount power of prayer.
I am writing to express my concern over a statement made in your editorial in the October issue of the Journal. I disagree with the categorical statement that “hand wringing, prayer, and expressions of concern don’t work.” In my opinion, any statement that one’s personal efforts in advocacy are more effective that another’s prayers indicates either a considerable degree of arrogance or a disbel...
متن کاملpattern recognition in maintenance data using methodologies data minitng (cade study isfahan regional power electric company)
فعالیت های نگهداری و تعمیرات اطلاعاتی را تولید می کند که می تواند در تعیین زمان های بیکاری و ارایه یک برنامه زمان بندی شده یا تعیین هشدارهای خرابی به پرسنل نگهداری و تعمیرات کمک کند. وقتی که مقدار داده های تولید شده زیاد باشند، فهم بین متغیرها بسیار مشکل می شوند. این پایان نامه به کاربردی از داده کاوی برای کاوش پایگاه های داده چندبعدی در حوزه نگهداری و تعمیرات، برای پیدا کردن خرابی هایی که موجب...
15 صفحه اولData Fusion with Entropic Priors
In classification problems, lack of knowledge of the prior distribution may make the application of Bayes’ rule inadequate. Uniform or arbitrary priors may often provide classification answers that, even in simple examples, may end up contradicting our common sense about the problem. Entropic priors, via application of the maximum entropy principle, seem to provide a much better answer and can ...
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: Stat
سال: 2023
ISSN: ['2049-1573']
DOI: https://doi.org/10.1002/sta4.591