Statistical model

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Statistical model

A Statistical model (/stəˈtɪstɪkəl ˈmɒdəl/) is a mathematical construct representing a set of statistical processes that generate some sample data. It is a formalization of relationships between variables in the form of mathematical equations.

Etymology

The term "statistical model" is derived from the field of statistics, where "statistical" refers to the use of statistics, and "model" refers to a simplified representation of a system or phenomenon.

Definition

A statistical model is defined by a set of possible probability distributions. It is often, but not necessarily, parametric, and is typically used to understand and predict behaviors or outcomes in the real world.

Types of Statistical Models

There are several types of statistical models, including:

  • Regression models: These models are used to understand the relationship between dependent and independent variables.
  • Time series models: These models analyze data points ordered in time to forecast future points.
  • Stochastic models: These models incorporate randomness in their predictions.
  • Non-parametric models: These models do not make any assumptions about the underlying data distribution.

Related Terms

  • Parameter: A parameter is a quantity describing a statistical population.
  • Variable: A variable is a quantity that can change or vary.
  • Probability distribution: A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can assume.
  • Data: Data is a collection of facts, statistics, or information.

See Also

External links

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