matlab 使数据具有统计意义

        大家都会遇到这个问题。取到的数据量很大，想看看数据的分布，奈何画出图来总是由于噪声，导致层次不齐，反而淹没了规律。比较简单的方式就是取平均，平均值相比而言更具有统计意义，只要实例够多，就可以当作一种无偏估计。所以抽空做了桶划分的函数。具体做了两种，一种是桶大小一样的，一种是指数的。

 平均方法如下:

function aimlist = AvgBucket(arg_list,arg_bucketsize)
% devide the arg_list into length(arg_list)/arg_bucketsize buckets.
%list是目标列表.
%backetsize是每个桶的大小.
%aimlist是返回的桶list.

%sumCurrentBucket 是每个桶的大小


list = arg_list;
bucketsize = arg_bucketsize;

aimlist=zeros(length(list) / bucketsize,1);
sumCurrentBucket = 0;
avgCurrentBucket = 0;

aimorder = 1;
for i=1:length(list)
    sumCurrentBucket = sumCurrentBucket + list(i);
    if mod(i,bucketsize) == 0
        avgCurrentBucket = sumCurrentBucket / bucketsize;
        aimlist(aimorder) = avgCurrentBucket;
        
        sumCurrentBucket = 0;
        avgCurrentBucket = 0;
        
        aimorder = aimorder + 1;
    end
end

if sumCurrentBucket ~= 0
    avgCurrentBucket = sumCurrentBucket / bucketsize;
    aimlist(aimorder) = avgCurrentBucket;
        
    sumCurrentBucket = 0;
    avgCurrentBucket = 0;
end
%end

指数方法如下：

function aimlist = ExpBucket(arg_list,arg_base,arg_exponent)
% devide the arg_list into buckets.
%arg_list是目标列表.
%arg_exponent是每个桶的指数.
%arg_base是桶的底数.
%桶的大小由指数和桶序号指定.
%aimlist是返回的桶list.

%sumCurrentBucket 是每个桶的大小


list = arg_list;
base = arg_base;
exponent = arg_exponent;

aimlist=zeros(length(list),1);
sumCurrentBucket = 0;
bucketsize = 0;

aimorder = 1;
for i=1:length(list)
    sumCurrentBucket = sumCurrentBucket + list(i);
    bucketsize = bucketsize + 1;
    
    if mod(i,base ^ exponent) == 0
        avgCurrentBucket = sumCurrentBucket / bucketsize;
        aimlist(aimorder) = avgCurrentBucket;
        
        sumCurrentBucket = 0;
        avgCurrentBucket = 0;
        bucketsize = 0;
        
        aimorder = aimorder + 1;
        
        base = base + 1;
    end
end

if sumCurrentBucket ~= 0
    avgCurrentBucket = sumCurrentBucket / bucketsize;
    aimlist(aimorder) = avgCurrentBucket;
        
    sumCurrentBucket = 0;
    avgCurrentBucket = 0;
end

aimlist = aimlist(1:aimorder);
%end