bayes' theorem Synonyms
No Synonyms and anytonyms found
bayes' theorem Meaning
bayes' theorem (n)
(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause
bayes' theorem Sentence Examples
- Bayes' theorem is a fundamental concept in probability theory that allows us to update our beliefs based on new evidence.
- Bayesians argue that Bayes' theorem provides a rational framework for making decisions under uncertainty.
- The probability of a hypothesis given the evidence, P(H|E), is calculated using Bayes' theorem as P(H|E) = P(E|H) * P(H) / P(E).
- Bayes' theorem is particularly useful in situations where we have prior knowledge or assumptions about the problem at hand.
- In medical diagnostics, Bayes' theorem can be employed to calculate the probability of a patient having a disease based on the results of a diagnostic test.
- Bayes' theorem is widely applied in machine learning, where it forms the basis of Bayesian classifiers and other probabilistic models.
- The use of Bayes' theorem has sparked debates regarding its role in scientific reasoning and the foundations of probability.
- Bayes' theorem is a powerful tool for reasoning about uncertain events, providing a systematic approach to updating our beliefs.
- Critics of Bayes' theorem argue that the choice of prior probabilities can be subjective and can influence the outcome of the calculation.
- Despite its limitations, Bayes' theorem remains a highly influential concept in probability theory with numerous applications in various fields.
FAQs About the word bayes' theorem
(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the p
No synonyms found.
No antonyms found.
Bayes' theorem is a fundamental concept in probability theory that allows us to update our beliefs based on new evidence.
Bayesians argue that Bayes' theorem provides a rational framework for making decisions under uncertainty.
The probability of a hypothesis given the evidence, P(H|E), is calculated using Bayes' theorem as P(H|E) = P(E|H) * P(H) / P(E).
Bayes' theorem is particularly useful in situations where we have prior knowledge or assumptions about the problem at hand.
