Parametric model
You don't need to be Editor-In-Chief to add or edit content to WikiDoc. You can begin to add to or edit text on this WikiDoc page by clicking on the edit button at the top of this page. Next enter or edit the information that you would like to appear here. Once you are done editing, scroll down and click the Save page button at the bottom of the page.
In statistics, a parametric model is a parametrized family of probability distributions, one of which is presumed to describe the way a population is distributed.
Examples
- For each real number μ and each positive number σ2 there is a normal distribution whose expected value is μ and whose variance is σ2. Its probability density function is
Thus the family of normal distributions is parametrized by the pair (μ, σ2).
This parametrized family is both an exponential family and a location-scale family
- For each positive real number λ there is a Poisson distribution whose expected value is λ. Its probability mass function is
Thus the family of Poisson distributions is parametrized by the positive number λ.
The family of Poisson distributions is an exponential family.
Acknowledgement and Attribution Regarding Sources of Content
Some of the initial content on this page may be incorporated in part from copyleft sources in the public domain including wikis such as Wikipedia and AskDrWiki. Drug information for patients came from the The National Library of Medicine. Infectious disease information may have come from the Centers for Disease Control (CDC). Differential Diagnoses are drawn from clinicians as well as an amalgamation of 3 sources: 1.The Disease Database; 2. Kahan, Scott, Smith, Ellen G. In A Page: Signs and Symptoms. Malden, Massachusetts: Blackwell Publishing, 2004:3; 3. Sailer, Christian, Wasner, Susanne. Differential Diagnosis Pocket. Hermosa Beach, CA: Borm Bruckmeir Publishing LLC, 2002:7 .
