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| The positive real number λ is equal to the expected value of X and also to its variance<ref>For the proof, see : | | The positive real number λ is equal to the expected value of X and also to its variance<ref>For the proof, see : |
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− | 正实数'''λ'''等于 x 的期望值和方差 < ref > 相关证明,请参阅: | + | 正实数'''λ'''等于 x 的期望值和方差相关证明,请参阅: |
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− | [http://www.proofwiki.org/wiki/Expectation_of_Poisson_Distribution Proof wiki: expectation] and [http://www.proofwiki.org/wiki/Variance_of_Poisson_Distribution Proof wiki: variance]</ref> | + | <ref> [http://www.proofwiki.org/wiki/Expectation_of_Poisson_Distribution Proof wiki: expectation] and [http://www.proofwiki.org/wiki/Variance_of_Poisson_Distribution Proof wiki: variance]</ref> |
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− | [http://www.proofwiki.org/wiki/Expectation_of_Poisson_Distribution Proof wiki: expectation] and [http://www.proofwiki.org/wiki/Variance_of_Poisson_Distribution Proof wiki: variance]</ref> | + | <ref> [http://www.proofwiki.org/wiki/Expectation_of_Poisson_Distribution Proof wiki: expectation] and [http://www.proofwiki.org/wiki/Variance_of_Poisson_Distribution Proof wiki: variance]</ref> |
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− | [ http://www.proofwiki.org/wiki/expectation_of_poisson_distribution 证明 wiki: 期望]和[ http://www.proofwiki.org/wiki/variance_of_poisson_distribution 证明 wiki: variance ] </ref > | + | <ref> [ http://www.proofwiki.org/wiki/expectation_of_poisson_distribution 证明 wiki: 期望]和[ http://www.proofwiki.org/wiki/variance_of_poisson_distribution 证明 wiki: variance ] </ref> |
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| :<math>\lambda=\operatorname{E}(X)=\operatorname{Var}(X).</math> | | :<math>\lambda=\operatorname{E}(X)=\operatorname{Var}(X).</math> |
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− | <math>\lambda=\operatorname{E}(X)=\operatorname{Var}(X).</math>
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− | < math > lambda = operatorname { e }(x) = operatorname { Var }(x) . </math >
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| The Poisson distribution can be applied to systems with a [[large number of rare events|large number of possible events, each of which is rare]]. The number of such events that occur during a fixed time interval is, under the right circumstances, a random number with a Poisson distribution. | | The Poisson distribution can be applied to systems with a [[large number of rare events|large number of possible events, each of which is rare]]. The number of such events that occur during a fixed time interval is, under the right circumstances, a random number with a Poisson distribution. |
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| The Poisson distribution can be applied to systems with a large number of possible events, each of which is rare. The number of such events that occur during a fixed time interval is, under the right circumstances, a random number with a Poisson distribution. | | The Poisson distribution can be applied to systems with a large number of possible events, each of which is rare. The number of such events that occur during a fixed time interval is, under the right circumstances, a random number with a Poisson distribution. |
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− | '''<font color="#ff8000"> {泊松分佈 Poisson distribution</font>'''可以应用于包括大量罕见可能事件的系统。在正确的条件下,在一个固定的时间间隔内发生的这类事件的数量是一个具有'''<font color="#ff8000"> {泊松分佈 Poisson distribution</font>'''的随机数。
| + | 泊松分布可以应用于包括大量罕见可能事件的系统。在正确的条件下,在一个固定的时间间隔内发生的这类事件的数量是一个具有泊松分布的随机数。 |
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