진화생물학:가지치기_과정

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진화생물학:가지치기_과정 [2016/07/20 21:03] – [푸아송 분포] minjae진화생물학:가지치기_과정 [2026/08/13 15:05] (current) – [참고 문헌] admin
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 \phi_{X_{n}} &=& E[s^{X_{n}}] \\ \phi_{X_{n}} &=& E[s^{X_{n}}] \\
 &=& \sum_{k=0}^{\infty} E[s^{X_{n}} | X_{n-1} = k] P(X_{n-1} = k) \\ &=& \sum_{k=0}^{\infty} E[s^{X_{n}} | X_{n-1} = k] P(X_{n-1} = k) \\
-&=& \sum_{k=0}^{\infty} E[s^{W_{1}+W_{2}+...+W_{k}] P(X_{n-1} = k)\\ +&=& \sum_{k=0}^{\infty} E[s^{W_{1}+W_{2}+...+W_{k}}] P(X_{n-1} = k)\\ 
-&=& \sum_{k=0}^{\infty} E(s^{W_{1}} E(s^{W_{1}}) \ldots E(s^{W_{k}}) P(X_{n-1} = k)\\+&=& \sum_{k=0}^{\infty} E(s^{W_{1}}) E(s^{W_{1}}) \ldots E(s^{W_{k}}) P(X_{n-1} = k)\\
 &=& \sum_{k=0}^{\infty} \phi(s)^{k} P(X_{n-1} = k) \\ &=& \sum_{k=0}^{\infty} \phi(s)^{k} P(X_{n-1} = k) \\
 &=& \phi_{X_{n-1}}(\phi(s)) &=& \phi_{X_{n-1}}(\phi(s))
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 여기서 $\lambda$는 자식 수의 평균을 의미한다. 여기서 $\lambda$는 자식 수의 평균을 의미한다.
 ======참고 문헌====== ======참고 문헌======
-https://www.math.ucdavis.edu/~gravner/MAT135A/resources/lecturenotes.pdf+  * https://www.math.ucdavis.edu/~gravner/MAT135A/resources/lecturenotes.pdf
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