下面是使用python进行正态分布模拟的一个简单的例子,后面附有模拟数据
import random,math
def getAve(list):
return sum(list)/len(list)
return sum(list)/len(list)
def getVar(list):
u=getAve(list)
result=0
for x in list:
result+=(x-u)**2
result/=(len(list)-1)
return result
def getList(n):
list=[]
for i in range(n):
list.append(random.gauss(0,1))
return list
u=getAve(list)
result=0
for x in list:
result+=(x-u)**2
result/=(len(list)-1)
return result
def getList(n):
list=[]
for i in range(n):
list.append(random.gauss(0,1))
return list
def draw(list):
char="*"
temp=[]
total=0
for i in list:
temp.append(int(math.floor(i/0.1)))
for i in range(-30,30,1):
print "%+.2f %d %s" % (i*0.1,temp.count(i),char*temp.count(i))
total+=temp.count(i)
print "all points",total
char="*"
temp=[]
total=0
for i in list:
temp.append(int(math.floor(i/0.1)))
for i in range(-30,30,1):
print "%+.2f %d %s" % (i*0.1,temp.count(i),char*temp.count(i))
total+=temp.count(i)
print "all points",total
if __name__=="__main__":
list=getList(1000)
print list
print "average:",getAve(list)
print "varirance",getVar(list)
draw(list)
list=getList(1000)
print list
print "average:",getAve(list)
print "varirance",getVar(list)
draw(list)
实际运行数据1:
[-1.2948250136555968, 0.66988767109579928, -1.2772215711133952, -0.52702443969801727, 0.68401373219473138, 0.37431794832279047, 0.083801180072971992, -0.82656916542872183, -0.60147930904741886, 0.67925094594850866, 1.7376555915394714, -0.56552090210317385, 0.10118319047440145, -0.13212857153721577, 0.8632977878839293, -1.0276679005571538, -0.035016622908345674, -0.64416600006060143, -0.13248019105171155, -1.3999506279172882, -0.8662152041018194, -0.86139789732160599, 0.29683621507222957, -0.12782554927222098, 0.15905871635148702, -0.79564502595440201, 0.73318689712547613, 0.24980019790752037, -2.451791848338253, -1.3454802224144184, 0.31686787993147664, 0.62286392496925469, 0.29115889493056629, -0.47980762210526018, -1.176593413626553, 1.6635201491315905, -0.70767969500430383, 1.4779415028831981, -1.5101358758000756, -0.27670346611247643, -0.31957983813768737, 1.4762469123291559, 0.72477051284589478, 0.43318711906669594, 1.36086036642035, -0.34390897552707317, -0.92979930818360534, 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average: -0.0575513758607
varirance 0.969738371369
-3.00 0
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all points 999
average: -0.0575513758607
varirance 0.969738371369
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all points 999
实际数据2:
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average: 0.02218478059
varirance 1.01990358009
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all points 997
average: 0.02218478059
varirance 1.01990358009
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all points 997
实际数据3:
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average: -0.0378265507837
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all points 998
average: -0.0378265507837
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+1.10 31 *******************************
+1.20 14 **************
+1.30 18 ******************
+1.40 17 *****************
+1.50 7 *******
+1.60 8 ********
+1.70 5 *****
+1.80 6 ******
+1.90 5 *****
+2.00 3 ***
+2.10 1 *
+2.20 4 ****
+2.30 4 ****
+2.40 4 ****
+2.50 3 ***
+2.60 1 *
+2.70 2 **
+2.80 1 *
+2.90 0
all points 998
欢迎大家对本例进行修改,如果有更好效果的模拟,请和我联系liuxin9023#gmail.com
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