added definition "data"

Author: JoramSoch

D/data.md

@@ -0,0 +1,26 @@
+---
+layout: definition
+mathjax: true
+
+author: "Joram Soch"
+affiliation: "BCCN Berlin"
+e_mail: "joram.soch@bccn-berlin.de"
+date: 2024-09-20 14:11:02
+
+title: "Data"
+chapter: "General Theorems"
+section: "Probability theory"
+topic: "Random experiments"
+definition: "Measured data"
+
+sources:
+
+def_id: "D203"
+shortcut: "data"
+username: "JoramSoch"
+---
+
+
+**Definition:** Data, also "measured data", are any set of one or more [random variables](/D/rvar) – [discrete or continuous](/D/rvar-disc), [univariate or multivariate](/D/rvar-uni) – that have been observed, measured or collected in the course of a [random experiment](/D/rexp).
+
+The random variables that are part of data have [probability distributions](/D/dist). Assumptions for these probability distributions are made with [generative models](/D/gm). Generative models can form the basis for [statistical tests](/D/test) checking [statistical hypotheses](/D/hyp).