## Mathematical Statistics Lesson of the Day – Markov’s Inequality

August 14, 2014 1 Comment

**Markov’s inequality** is an elegant and very useful inequality that relates the **probability** of an event concerning a **non-negative random variable**, , with the **expected value** of . It states that

where .

I find Markov’s inequality to be beautiful for 2 reasons:

- It applies to both
**continuous**and**discrete**random variables. - It applies to any non-negative random variable from
**any distribution**with a**finite expected value**.

In a later lesson, I will discuss the motivation and intuition behind Markov’s inequality, which have useful implications for understanding a data set.

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