Statistical independence

From Glossary of Meteorology



statistical independence

The relationship between two or more random variables (variates) when their joint probability density function can be expressed as the product of the individual functions,
ams2001glos-Se63
and the ranges of variation of x and y are independent.

Otherwise, variates are statistically dependent.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.