added definition "samp"

Author: JoramSoch

D/samp.md

@@ -0,0 +1,36 @@
+---
+layout: definition
+mathjax: true
+
+author: "Joram Soch"
+affiliation: "BCCN Berlin"
+e_mail: "joram.soch@bccn-berlin.de"
+date: 2024-11-15 11:46:35
+
+title: "Sample"
+chapter: "General Theorems"
+section: "Probability theory"
+topic: "Random experiments"
+definition: "Statistical sample"
+
+sources:
+  - authors: "Elliott, Graham"
+    year: 2024
+    title: "Sampling"
+    in: "Understanding Statistics"
+    pages: "retrieved on 2024-11-15"
+    url: "https://econweb.ucsd.edu/~gelliott/Chapter5.html"
+
+def_id: "D210"
+shortcut: "samp"
+username: "JoramSoch"
+---
+
+
+**Definition:** Let $X$ be a [random variable](/D/rvar) or a set of [random variables](/D/rvar). Then, a sample, also "statistical sample", is a set of realizations of this random variable, obtained via [observation and measurement](/D/data) within [random experiments](/D/rexp):
+
+$$ \label{eq:samp}
+x = \left\lbrace x_1, \ldots, x_n \right\rbrace \; .
+$$
+
+The number of elements in a sample is called "[sample size](/D/samp-size)".