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In statistics one can study the distribution of a random variable. Several models exist, the most common one being the normal distribution (or Gaussian distribution). When the distribution is known explicitly, it often depends on several parameters. A parameter space is simply the set of values that this parameter can take. For example, if we toss a coin, we can use the Bernoulli distribution of parameter p. In this case the parameter space is the intervall [0,1]. Statistics is a type of data analysis which includes the planning, summarizing, and interpreting of observations of a system possibly followed by predicting or forecasting of future events based on a mathematical model of the system being observed. ... This page deals with mathematical distributions. ... A random variable can be thought of as the numeric result of operating a non-deterministic mechanism or performing a non-deterministic experiment to generate a random result. ... The normal distribution, also called Gaussian distribution, is an extremely important probability distribution in many fields. ... In probability theory and statistics, the Bernoulli distribution, named after Swiss scientist James Bernoulli, is a discrete probability distribution, which takes value 1 with success probability and value 0 with failure probability . ...
More precisely, Θ is a parameter space of dimension if there exists a p-dimensional vector space E such that . p is called number of parameters.
For example, is a parameter space because it is included in . It is the parameter space for the normal distribution.
if there exists a 
. 
is a parameter space because it is included in 
. It is the parameter space for the normal distribution.
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