priors

Meanings

• noun

  1. A prior is a probability distribution that expresses a degree of belief for a random variable, used in Bayesian statistics.

  - "In Bayesian statistics, the prior belief about a parameter is updated with new data to obtain a posterior distribution."
  - "The choice of prior distribution can significantly affect the results of a Bayesian analysis."

• noun

  2. (Related to law) A prior is a statement made before trial that sets out the position of one party on an issue.

  - "In criminal trials, the prosecution and defense may each present an opening statement, which is an a prior statement of their respective cases."
  - "An a prior commitment not to appeal a decision is known as an a prior waiver of the right to appeal."

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Synonyms

provost

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Rhymes

Words rhyming with priors
choir , o'er , quire

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Variants

List of all variants of priors that leads to same result
prior , priors

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'prior' comes from the Latin word 'prior', meaning 'earlier' or 'before'. In statistics, it refers to information that is known or assumed before observing new data.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. Did you know that the first known use of the term 'prior' in the context of statistics was in the 17th century?

2. The choice of a prior distribution can significantly impact the results of a Bayesian analysis. This is known as the 'prior sensitivity' problem.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Bayesian statistics: A statistical paradigm that updates the probability for a hypothesis as more evidence or information becomes available. Priors are used to represent prior beliefs or knowledge.

2. Frequentist statistics: A statistical paradigm that focuses on the long-run frequency of events, rather than the probability of a single event. Priors are not used in frequentist statistics.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

The term 'prior' has been used extensively in various fields, including mathematics, statistics, and law. In mathematics and statistics, priors are used in Bayesian inference to represent prior knowledge or beliefs about a parameter before observing data. In law, an a prior statement is made before the trial to outline the position of a party on an issue.

How to Memorize "priors"

1. visualize
   

   - Visualize a probability distribution before observing new data. Imagine a bell curve representing the prior distribution, which can be updated with new data to obtain a posterior distribution.

2. associate
   

   - Associate the term 'prior' with 'earlier' or 'before'. Remember that in statistics, a prior is a probability distribution used before observing new data.

3. mnemonics
   

   - Create a mnemonic to remember the meaning of 'prior'. For example, 'Prior' stands for 'Probability Inference Reveals Information Regularly'.

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