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b:head_first_statistics:geometric_binomial_and_poisson_distributions [2019/11/07 09:01] – [What does the Poisson distribution look like?] hkimscilb:head_first_statistics:geometric_binomial_and_poisson_distributions [2019/11/07 10:25] – [What does the Poisson distribution look like?] hkimscil
Line 957: Line 957:
 lambda가 클 수록 좌우대칭의 종형분포를 이루고 ((Figure 1)), 작을 수로 오른 쪽으로 편향된 (skewed to the right) 혹은 양의방향으로 편향된(positively skewed) 분포를 ((Figure 2)) 이룬다. lambda가 클 수록 좌우대칭의 종형분포를 이루고 ((Figure 1)), 작을 수로 오른 쪽으로 편향된 (skewed to the right) 혹은 양의방향으로 편향된(positively skewed) 분포를 ((Figure 2)) 이룬다.
  
-<code>> dpois(x=1:60, lambda=3) +<code> 
- [1] 1.493612e-01 2.240418e-01 2.240418e-01 1.680314e-01 +> dpois(x=1:60, lambda=.3) 
- [51.008188e-01 5.040941e-02 2.160403e-02 8.101512e-03 + [1]  2.222455e-01  3.333682e-02  3.333682e-03  2.500261e-04  1.500157e-05 
- [92.700504e-03 8.101512e-04 2.209503e-04 5.523758e-05 + [6 7.500784e-07  3.214622e-08  1.205483e-09  4.018277e-11  1.205483e-12 
-[13] 1.274713e-05 2.731529e-06 5.463057e-07 1.024323e-07 +[11 3.287682e-14  8.219204e-16  1.896739e-17  4.064441e-19  8.128883e-21 
-[17] 1.807629e-08 3.012715e-09 4.756919e-10 7.135379e-11 +[16 1.524166e-22  2.689704e-24  4.482840e-26  7.078168e-28  1.061725e-29 
-[21] 1.019340e-11 1.390009e-12 1.813055e-13 2.266319e-14 +[21]  1.516750e-31  2.068296e-33  2.697777e-35  3.372222e-37  4.046666e-39 
-[252.719583e-15 3.137980e-16 3.486644e-17 3.735690e-18 +[26 4.669230e-41  5.188033e-43  5.558607e-45  5.750283e-47  5.750283e-49 
-[293.864507e-19 3.864507e-20 3.739846e-21 3.506105e-22 +[31 5.564790e-51  5.216991e-53  4.742719e-55  4.184752e-57  3.586930e-59 
-[333.187368e-23 2.812384e-24 2.410615e-25 2.008846e-26 +[36 2.989108e-61  2.423601e-63  1.913370e-65  1.471823e-67  1.103867e-69 
-[37] 1.628794e-27 1.285890e-28 9.891460e-30 7.418595e-31 +[41]  8.077076e-72  5.769340e-74  4.025121e-76  2.744401e-78  1.829600e-80 
-[41] 5.428240e-32 3.877315e-33 2.705103e-34 1.844389e-35 +[46 1.193218e-82  7.616283e-85  4.760177e-87  2.914394e-89  1.748636e-91 
-[45] 1.229592e-36 8.019081e-38 5.118562e-39 3.199101e-40 +[51 1.028610e-93  5.934286e-96  3.359030e-98 1.866128e-100 1.017888e-102 
-[49] 1.958633e-41 1.175180e-42 6.912824e-44 3.988168e-45 +[56] 5.452971e-105 2.869985e-107 1.484475e-109 7.548177e-112 3.774089e-114 
-[53] 2.257453e-46 1.254141e-47 6.840768e-49 3.664697e-50 +> plot(dpois(x=1:60, lambda=.3), type = "l")
-[57] 1.928788e-51 9.976489e-53 5.072791e-54 2.536396e-55 +
-> plot(dpois(x=1:60, lambda=3), type = "l")+
 > </code> > </code>
  
-[{{:b:head_first_statistics:pasted:20191107-082917.png|Figure 2. lambda = 3}}]+[{{:b:head_first_statistics:pasted:20191107-095447.png|Figure 2. lambda = 3}}]
  
 일반적으로 lambda가 1보다 작으면 geometric distribution 형태의 그래프를, 1보다 크면 정규분포 형태의 모양을 갖는다. 일반적으로 lambda가 1보다 작으면 geometric distribution 형태의 그래프를, 1보다 크면 정규분포 형태의 모양을 갖는다.
b/head_first_statistics/geometric_binomial_and_poisson_distributions.txt · Last modified: 2023/10/19 19:00 by hkimscil

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