Distribution function

From Glossary of Meteorology

Revision as of 16:52, 26 January 2012 by imported>Perlwikibot (Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == distribution function == </div> <div class="definition"><div class="short_definition">(<br/...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to:navigation, search

distribution function

(
Also called probability distribution function.) A function F(x) yielding the probability that a stated random variable will assume some value less than or equal to any arbitrary number x.

By definition, the distribution function is identically zero for all values of x below the least admissible value of the random variable, and identically unity for all values of x equal to or greater than the greatest admissible value of the random variable. Moreover, F(x₂) ≥ F(x₁) whenever x₂ > x₁. Sometimes, for the sake of clarity, the distribution function is called the cumulative distribution function.
Compare probability density function.

INDEX
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
0
1
2
3
4
5
6
7
8
9

Retrieved from "https://glossarystaging.ametsoc.net/w/index.php?title=Distribution_function&oldid=16762"

Category:

Terms D

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.