= Probability inequality
<Probability inequalities> bound <event> <probabilities> from limited information, such as <moments>, without requiring a complete <probability distribution>. <Markov's inequality> uses a nonnegative <random variable>'s <expected value>; <Chebyshev's inequality> uses a <variance> to bound deviations from a <mean>. The attraction is a guarantee that applies to many possible <probability distributions>. Their bounds can be conservative for a particular model, and distributions attaining equality show when the available information really cannot give more.
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