منابع مشابه
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 کاملProbability , Conditional Probability and Bayes Formula
The intuition of chance and probability develops at very early ages.1 However, a formal, precise definition of the probability is elusive. If the experiment can be repeated potentially infinitely many times, then the probability of an event can be defined through relative frequencies. For instance, if we rolled a die repeatedly, we could construct a frequency distribution table showing how many...
متن کاملA Bayes Formula for Gaussian Noise Processes and its Applications
An elementary approach is used to derive a Bayes-type formula, extending the Kallianpur–Striebel formula for the nonlinear filters associated with the Gaussian noise processes. In the particular cases of certain Gaussian processes, recent results of Kunita and of Le Breton on fractional Brownian motion are derived. We also use the classical approximation of the Brownian motion by the Ornstein–U...
متن کاملText Document Pre-Processing Using the Bayes Formula for Classification Based on the Vector Space Model
This work utilizes the Bayes formula to vectorize a document according to a probability distribution based on keywords reflecting the probable categories that the document may belong to. The Bayes formula gives a range of probabilities to which the document can be assigned according to a pre determined set of topics (categories). Using this probability distribution as the vectors to represent t...
متن کاملA Hierarchical Approach in Multilevel Thresholding Based on Maximum Entropy and Bayes' Formula
An efficient hierarchical approach for image multi-level thresholding is proposed based on the maximum entropy principle and Bayes’ formula, in which no assumptions of the image histogram are made. Five forms of conditional probability distributions are employed for optimal threshold determination. Our experiments demonstrate that the proposed method is effective and achieves a significant impr...
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: Vestnik of Don State Technical University
سال: 2015
ISSN: 1992-5980
DOI: 10.12737/16076