Assessment | Biopsychology | Comparative | Cognitive | Developmental | Language | Individual differences | Personality | Philosophy | Social |
Methods | Statistics | Clinical | Educational | Industrial | Professional items | World psychology |

Statistics: Scientific method · Research methods · Experimental design · Undergraduate statistics courses · Statistical tests · Game theory · Decision theory

In statistics, an empirical distribution function is a cumulative probability distribution function that concentrates probability 1/n at each of the n numbers in a sample.

Let X_1,\ldots,X_n be random variables with realizations  x_i\in\mathbb{R}, i=1,\ldots,n\in\mathbb{N}.

The empirical distribution function  F_n(x) based on sample  x_1,\ldots,x_n is a step function defined by

F_n(x) = \frac{ \mbox{number of elements in the sample} \leq x}n = 
\frac{1}{n} \sum_{i=1}^n I(x_i \le x),

where I(A) is an indicator function.

Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.