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<record version="3" id="2817">
 <title>Markov's inequality</title>
 <name>MarkovsInequality</name>
 <created>2002-04-05 22:00:31</created>
 <modified>2006-09-11 14:25:30</modified>
 <type>Theorem</type>
 <creator id="7332" name="Andrea Ambrosio"/>
 <author id="7332" name="Andrea Ambrosio"/>
 <author id="103" name="aparna"/>
 <classification>
	<category scheme="msc" code="60A99"/>
 </classification>
 <synonyms>
	<synonym concept="Markov's inequality" alias="Markoff's inequality"/>
 </synonyms>
 <related>
	<object name="ChebyshevsInequality2"/>
	<object name="KolmogorovsInequality"/>
	<object name="KolmogorovsMartingaleInequality"/>
	<object name="ReverseMarkovInequality"/>
 </related>
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 <content>For a non-negative random variable $X$ and a standard of accuracy $d &gt; 0$, Markov's inequality \PMlinkescapetext{states} that $P[X \ge d] \le \frac{1}{d} E[X]$.</content>
</record>
