Unit normal distribution: Difference between revisions

From Glossary of Meteorology
(Created page with " {{TermHeader}} {{TermSearch}} <div class="termentry"> <div class="term"> == unit normal distribution == </div> <div class="definition"><div class="short_definition">A ...")
 
m (Rewrite with Template:Term and clean up)
 
Line 1: Line 1:
 
{{Term
 
|Display title=unit normal distribution
{{TermHeader}}
|Definitions={{Definition
{{TermSearch}}
|Num=1
 
|Meaning=
<div class="termentry">
A [[normal distribution]] such that the mean &#x003bc; = 0 and [[standard deviation]]  &#x003c3; = 1; hence, the [[probability density function]] ''f''(''x'') is given by    <blockquote>[[File:ams2001glos-Ue2.gif|link=|center|ams2001glos-Ue2]]</blockquote>  <br/>This [[density function]] and its definite integral (usually between 0 and arbitrary upper limits)  have been extensively tabulated.
  <div class="term">
}}
== unit normal distribution ==
}}
  </div>
 
<div class="definition"><div class="short_definition">A [[normal distribution]] such that the mean &#x003bc; = 0 and [[standard deviation]]  &#x003c3; = 1; hence, the [[probability density function]] ''f''(''x'') is given by    <div class="display-formula"><blockquote>[[File:ams2001glos-Ue2.gif|link=|center|ams2001glos-Ue2]]</blockquote></div</div><br/><div class="paragraph">This [[density function]] and its definite integral (usually between 0 and arbitrary upper limits)  have been extensively tabulated.</div><br/> </div>
</div>
 
{{TermIndex}}
{{TermFooter}}
 
[[Category:Terms_U]]

Latest revision as of 03:36, 27 March 2024

A normal distribution such that the mean μ = 0 and standard deviation σ = 1; hence, the probability density function f(x) is given by
ams2001glos-Ue2

This density function and its definite integral (usually between 0 and arbitrary upper limits) have been extensively tabulated.
Copyright 2025 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.