Conjugate Prior

In Bayesian probability theory, a prior distribution is a probability distribution that expresses the degree of belief or uncertainty about the value of a parameter before observing the data. A conjugate prior is a prior distribution that belongs to the same family of probability distributions as the posterior distribution that is obtained after observing the data. This means that the prior and posterior distributions are mathematically compatible and can be easily combined to update the degree of belief about the parameter. Conjugate priors are particularly useful in Bayesian inference because they allow for analytical solutions to the posterior distribution, which simplifies the computation of the posterior mean, variance, and other statistics. Common examples of conjugate priors include the normal distribution as a conjugate prior for the mean of a normal distribution, the gamma distribution as a conjugate prior for the precision of a normal distribution, and the beta distribution as a conjugate prior for the probability of a binomial distribution.
Your Previous Searches
Random Picks
  • Autonomy: Autonomy refers to the ability of an AI system to make decisions and take actions independently without human intervention. This involves the use of machine learning algorithms and other AI techniques to enable the system to learn from data ... Read More >>
  • Input/output Devices: Input/output (I/O) devices are hardware components that allow users to interact with a computer system. Input devices are used to provide data and control signals to a computer, while output devices display or transmit the results of proces ... Read More >>
  • High-level Language: A high-level language is a programming language that is designed to be easily understood and written by humans. It is a programming language that abstracts away the low-level details of the computer hardware and provides a more natural and ... Read More >>
Top News

Employees were already freaked out about AI — Amazon just proved them right...

Amazon CEO Andy Jassy acknowledged in a Tuesday statement what many workers have been scared of: Artificial intelligence will soon mean job cuts....

News Source: Business Insider on 2025-06-18

Trump’s purges come for the U.S.’ nuclear safety board...

Donald Trump’s efforts to strip federal agencies and commissions of their independence took an alarming step Monday, when the president fired one of the five commissioners who sit on the Nuclear Reg...

News Source: MSNBC on 2025-06-17

Amazon says it will reduce its workforce as AI replaces human employees | CNN Bu...

Amazon says it will reduce its workforce as AI replaces human employees | CNN Businesscnn.com...

News Source: CNN on 2025-06-17

Amazon’s Jassy says AI will reduce company’s corporate ranks...

Andy Jassy expects the company’s workforce to decline in the next few years....

News Source: Fortune on 2025-06-17

Bank of America is bullish on these 4 under-the-radar AI stocks...

Investors interested in the AI trade beyond the Magnificent Seven should look into these four stocks with breakout growth potential....

News Source: Business Insider on 2025-06-17