Certain statistical distributions occur so often in applications that they are named. Examples include the binomial, exponential, normal, and uniform distributions. These distributions typically have parameters that allow for a certain degree of flexibility for modeling. Two important applications of these common statistical distributions are: ( a) to provide a probability model the outcome of a random experiment, and ( b) to provide a reasonable approximation to a data set, which is typically done for the purpose of statistical inference.

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Relationships Among Univariate Statistical Distributions

  • Lawrence M. Leemis

摘要

Certain statistical distributions occur so often in applications that they are named. Examples include the binomial, exponential, normal, and uniform distributions. These distributions typically have parameters that allow for a certain degree of flexibility for modeling. Two important applications of these common statistical distributions are: ( a) to provide a probability model the outcome of a random experiment, and ( b) to provide a reasonable approximation to a data set, which is typically done for the purpose of statistical inference.