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Module by: Paul E Pfeiffer. E-mail the author

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 Name: The Quantile Function ID: m23385 Language: English (en) Summary: If F is a probability distribution function, the associated quantile function Q is essentially an inverse of F. The quantile function is defined on the unit interval (0,1). For F continuous and strictly increasing at t, then Q(u)=t iff F(t)=u. Thus, if u is a probability value, t=Q(u) is the value of t for which P(X≤t)=u. As an application, one may generate independent classes with prescribed distributions. Matlab procedures are developed for a variety of problems involving quantile functions. Subject: Mathematics and Statistics Keywords: Independent classes, Matlab procedures, Normal distribution, Properties, Random number generator, Sampling, Simple random variables, Weibull distribution License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.7 (history) First publication date: Apr 16, 2009 3:56 pm -0500 Last revision to module: Sep 18, 2009 1:58 pm -0500

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## Version History

 Version: 1.7 Sep 18, 2009 1:58 pm -0500 by Changes: `added google analytics tracking code` Version: 1.6 Jul 28, 2009 10:56 am -0500 by Changes: `Summary added` Version: 1.5 Jul 27, 2009 12:18 pm -0500 by Changes: `disjoint union fix` Version: 1.4 Jun 19, 2009 11:30 am -0500 by Changes: `m-file fixes, supplemental links, metadata updated` Version: 1.3 Jun 9, 2009 5:29 pm -0500 by Changes: `updated links, images and accessibility` Version: 1.2 May 26, 2009 4:47 pm -0500 by Changes: `fixed module names, and updated content structure` Version: 1.1 May 17, 2009 5:32 pm -0500 by Changes: `Initial`

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### American Chemical Society (ACS) Style Guide:

Pfeiffer, P. The Quantile Function, OpenStax_CNX Web site. http://cnx.org/content/m23385/1.7/, Sep 18, 2009.

### American Medical Assocation (AMA) Manual of Style:

Pfeiffer P. The Quantile Function [OpenStax_CNX Web site]. September 18, 2009. Available at: http://cnx.org/content/m23385/1.7/.

### American Psychological Assocation (APA) Publication Manual:

Pfeiffer, P. (2009, September 18). The Quantile Function. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m23385/1.7/

### Chicago Manual of Style (Bibliography):

Pfeiffer, Paul. "The Quantile Function." OpenStax_CNX. September 18, 2009. http://cnx.org/content/m23385/1.7/.

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Paul Pfeiffer, "The Quantile Function," OpenStax_CNX, September 18, 2009, http://cnx.org/content/m23385/1.7/.

### Chicago Manual of Style (Reference, in Author-Date style):

Pfeiffer, P. 2009. The Quantile Function. OpenStax_CNX, September 18, 2009. http://cnx.org/content/m23385/1.7/.

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Pfeiffer, Paul. The Quantile Function. OpenStax_CNX. 18 Sep. 2009 <http://cnx.org/content/m23385/1.7/>.