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
- Information Exchange: Information exchange refers to the process of sharing data or knowledge between different entities, such as individuals, organizations, or systems. In the context of data science and artificial intelligence, information exchange is a crucia ... Read More >>
- Laser Technology: Laser technology is a field of study that involves the use of lasers in various applications. In data science and artificial intelligence, laser technology is used in the development of optical communication systems, laser-based sensors, an ... Read More >>
- Entity Recognition: Entity recognition is a natural language processing task that involves identifying and classifying named entities in unstructured text into predefined categories such as person names, organizations, locations, medical codes, time expression ... Read More >>
Top News
OpenAI has $20 billion to win or lose in its race to become a for-profit...
The ChatGPT maker has announced $40 billion in new funding, but $20 billion of that will depend on its controversial for-profit restructuring....
News Source: Business Insider on 2025-04-01
Meta's head of AI research announces departure...
Meta’s head of artificial intelligence research announced Tuesday that she will be leaving the company....
News Source: NBC News on 2025-04-01
Meta loses its AI research head, as billions in investments hang in the balance...
Joelle Pineau will leave the company in May. Pineau's successor remains unclear....
News Source: Business Insider on 2025-04-01
With a TikTok ban looming, Trump signals a deal will come before April 5 deadlin...
As the deadline to strike a deal over TikTok approaches this week, President Donald Trump has signaled that he is confident his administration can broker an agreement with ByteDance, the social media ...
News Source: ABC News on 2025-04-01
It's not just tariffs. 4 other issues are battering stock market sentiment....
While tariffs are front and center for markets, a handful of other issues is weighing on investor confidence as the second quarter kicks off....
News Source: Business Insider on 2025-04-01