Location parameter
In statistics, a location parameter of a probability distribution is a scalar- or vector-valued parameter x 0 {\displaystyle x_{0}} , which determines the "location" or shift of the distribution. In the literature of location parameter estimation, the probability distributions with such parameter are found to be formally defined in one of the following equivalent ways: either as having a probability density function or probability mass function f ( x − x 0 ) {\displaystyle f(x-x_{0})} ; or having a cumulative distribution function F ( x − x 0 ) {\displaystyle F(x-x_{0})} ; or being defined as resulting from the random variable transformation x 0 + X {\displaystyle x_{0}+X} , where X {\displaystyle X} is a random variable with a certain, possibly unknown, distribution.