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1.4 Sequences of Random Variables
Realizations




• EXP 1: 0 or 1
• EXP 2: 0 or 1 or 2
Relative Frequency histogram
y =0:1:20                   Relative Frequency Histogram
f = binornd (20,.7,1,200)   freqs=hist(f,y)
hist(f,y)                   props=(freqs/200)
                            plot(props)
大數法則
The Law of Large says that the proportion of
realizations attaining a particular value will
converge to the true probability of that realization.



where f is the probability mass function of Y

 y = binornd (20,.7,1,1000)
 freq= hist(y,0:1:20)
 plot(freq/1000)
數理方法 1 4

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數理方法 1 4

  • 1. 1.4 Sequences of Random Variables
  • 2. Realizations • EXP 1: 0 or 1 • EXP 2: 0 or 1 or 2
  • 3. Relative Frequency histogram y =0:1:20 Relative Frequency Histogram f = binornd (20,.7,1,200) freqs=hist(f,y) hist(f,y) props=(freqs/200) plot(props)
  • 5. The Law of Large says that the proportion of realizations attaining a particular value will converge to the true probability of that realization. where f is the probability mass function of Y y = binornd (20,.7,1,1000) freq= hist(y,0:1:20) plot(freq/1000)