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Related Concept Videos

Probability Distributions01:32

Probability Distributions

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 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
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Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
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A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
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Can the Brain Build Probability Distributions?

Marcus Lindskog1,2, Pär Nyström1, Gustaf Gredebäck1

  • 1Department of Psychology, Uppsala University, Uppsala, Sweden.

Frontiers in Psychology
|April 12, 2021
PubMed
Summary
This summary is machine-generated.

The adult human brain can represent complex probability distributions, like patterns of sounds. This study introduces a new EEG analysis to understand how the brain processes large amounts of data.

Keywords:
EEGexperienced dataneural likelihood responseprobabilistic mindprobability distribution

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Area of Science:

  • Cognitive Neuroscience
  • Computational Neuroscience
  • Psychology

Background:

  • Human cognition efficiently processes vast data by representing the environment using probability distributions.
  • Probabilistic accounts suggest latent variable representation, but neural underpinnings of global pattern recognition remain under-explored.

Purpose of the Study:

  • To investigate the neural mechanisms enabling the human brain to represent complex, global features of probability distributions.
  • To develop and apply a novel analysis of electroencephalography (EEG) data for single-trial examination of neural responses to probabilistic stimuli.

Main Methods:

  • Participants listened to sequences of tones forming either normal or bimodal probability distributions.
  • A novel single-trial EEG analysis was employed to identify neural responses indexing item likelihood within the context of presented distributions.

Main Results:

  • A distinct neural response was identified that correlates with the likelihood of individual tones based on preceding stimuli.
  • This neural response accurately reflected the global structure of the presented auditory probability distributions (normal vs. bimodal).

Conclusions:

  • The adult human brain possesses the capacity to construct representations of complex probability distributions.
  • The novel EEG analysis provides a valuable tool for further research into the neural basis of probabilistic cognition and perception.