16 Questions
What is the Bayesian interpretation of probability?
Probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.
How does the Bayesian view differ from frequentist inference?
In the Bayesian view, a probability is assigned to a hypothesis, whereas under frequentist inference, a hypothesis is typically tested without being assigned a probability.
What category does Bayesian probability belong to?
Evidential probabilities
How is the prior probability used in Bayesian probability?
The Bayesian probabilist specifies a prior probability to evaluate the probability of a hypothesis.
What is the role of new, relevant data in Bayesian probability?
It updates the prior probability to a posterior probability.
Who is the mathematician and theologian from the 18th century associated with the term Bayesian?
Thomas Bayes
Who pioneered and popularized what is now called Bayesian probability?
Pierre-Simon Laplace
What are the two interpretations of Bayesian probability?
Objective and subjective
What do Bayesian methods use to model all sources of uncertainty in statistical models?
Random variables or unknown quantities
What is the need in Bayesian methods when determining the prior probability distribution?
Taking into account the available (prior) information
What is the sequential use of Bayes' theorem in Bayesian methods?
As more data become available, calculate the posterior distribution using Bayes' theorem; subsequently, the posterior distribution becomes the next prior
How do the objective and subjective variants of Bayesian probability mainly differ?
In their interpretation and construction of the prior probability
Who introduced a general version of the theorem and used it to approach problems in celestial mechanics, medical statistics, reliability, and jurisprudence?
Pierre-Simon Laplace
What was early Bayesian inference called, following Laplace's principle of insufficient reason?
Inverse probability
Who proved a special case of what is now called Bayes' theorem in a paper titled 'An Essay towards solving a Problem in the Doctrine of Chances'?
Thomas Bayes
What are the two types of Bayesian probability interpretations?
Objectivist and subjectivist
Test your knowledge of the Bayesian interpretation of probability, which focuses on representing knowledge and quantifying personal belief. Explore reasoning with unknown hypotheses and propositions through this quiz.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
