Inversion of Bayes formula and measures of Bayesian information gain and pairwise dependence
نویسندگان
چکیده
منابع مشابه
Inversion of Bayes Formula and Measures of Bayesian Information Gain and Pairwise Dependence
By inverting the Bayes formula in a point-wise manner, we develop measures quantifying the information gained by the Bayesian process, in reference to the Fisher information. Simple examples are used for focused illustrations of the ideas. Numerical computation for the measures is discussed with formulae. Extending the information gain concept to the broader context of distribution theory, we a...
متن کاملInversion of Bayes formula and measures of Bayesian information gain and pairwise dependence
By inverting the Bayes formula in a point-wise manner, we develop measures quantifying the information gained by the Bayesian process, in reference to the Fisher information. Simple examples are used for focused illustrations of the ideas. Numerical computation for the measures is discussed with formulae. By extending the information gain concept to the broader context of distribution theory, w...
متن کاملDynamic Bayesian Information Measures
This paper introduces measures of information for Bayesian analysis when the support of data distribution is truncated progressively. The focus is on the lifetime distributions where the support is truncated at the current age t>=0. Notions of uncertainty and information are presented and operationalized by Shannon entropy, Kullback-Leibler information, and mutual information. Dynamic updatings...
متن کاملpostnatal studies of bats (pipistrellus kuhlii and miniopterus schreibersii) & histomorphology and histochemistry studies of organs and diseases of (neurergus microspilotus and n. kaiseri)
1. to determine whether difference in birth body mass influenced growth performance in pipistrellus kuhlii we studied a total of 12 captive-born neonates. bats were assigned to two body mass groups: light birth body mass (lbw: 0.89 ± 0.05, n=8) and heavy birth body mass (hbw: 1.35 ± 0.08, n=4). heavier body mass at birth was associated with rapid postnatal growth (body mass and forearm length) ...
Inversion of Bayes' Formula for Events
In standard notation, let {H1,H2, · · · ,Hm} and {A1, A2, · · · , An} be two distinct partitions of the sample space, or equivalently two sets of events satisfying three properties: (i) each event is non-void, (ii) events in the same set are mutually exclusive (i.e. P (Hj ∪Hk) = P (Hj)+P (Hk) for j 6= k), and (iii) each set is collectively exhaustive, (i.e. P (∪i=1Hj) = 1). The Bayes formula in...
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: Statistics and Its Interface
سال: 2011
ISSN: 1938-7989,1938-7997
DOI: 10.4310/sii.2011.v4.n1.a10