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data_analysis:probability_distributions [2023/02/25 16:45]
prgram [how?] 		data_analysis:probability_distributions [2023/02/25 18:23]
prgram [Geometric]
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 실패 r번, 성공 k번 실패 r번, 성공 k번
  
 +** 실패횟수에 초점 **
 $X \sim \text{NegBin}(k,​ p)$ or $X \sim \text{NegBin}(r,​ p)$, depending on the parameterization used. The two parameterizations are related by the identity $r = k - 1$. $X \sim \text{NegBin}(k,​ p)$ or $X \sim \text{NegBin}(r,​ p)$, depending on the parameterization used. The two parameterizations are related by the identity $r = k - 1$.
  
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 === how? === === how? ===
 +** 성공횟수에 초점**
 m번실험 시도에 n번 성공 -> m-1번째까지 n-1번 성공 & m번째 성공 m번실험 시도에 n번 성공 -> m-1번째까지 n-1번 성공 & m번째 성공
 $$P(Y=n) = {m-1 \choose n-1} p^{n-1} (1-p)^{m-n} p $$ $$P(Y=n) = {m-1 \choose n-1} p^{n-1} (1-p)^{m-n} p $$
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 $$P(X = x) = p(1-p)^{x-1}$$ $$P(X = x) = p(1-p)^{x-1}$$
  
 +
 +==== Poisson ====
  
 ===== Continuous ===== ===== Continuous =====