骗子
使用累积总和检测均值的小变化
Syntax
描述
[returns the first index of the upper and lower cumulative sums ofIUPPER，ILERD.] = cusum(x)xthat have drifted beyond five standard deviations above and below a target mean. The minimum detectable mean shift is set to one standard deviation. The target mean and standard deviations are estimated from the first 25 samples ofx.
[返回上下累积总和超过控制限制的所有索引。IUPPER，ILERD.] = cusum(___,'all')
[also returns the upper and lower cumulative sums.IUPPER，ILERD.,Uppersum，ledersum.] = cusum(___)
cusum（___)没有输出参数绘制归一化的上下累积总和在目标方面上方和下方的一个标准偏差。
例子
骗子默认值
Generate and plot a 100-sample random signal with a linear trend. Reset the random number generator for reproducible results.
rng.('default') rnds = rand(1,100); trnd = linspace(0,1,100); fnc = rnds + trnd; plot(fnc)
Apply骗子使用输入参数的默认值到函数。
CUSUM（FNC）
Compute the mean and standard deviation of the first 25 samples. Apply骗子using these numbers as the target mean and the target standard deviation. Highlight the point where the cumulative sum drifts more than five standard deviations beyond the target mean. Set the minimum detectable mean shift to one standard deviation.
MFNC =平均值（FNC（1:25））;SFNC = STD（FNC（1:25））;CUSUM（FNC，5,1，MFNC，SFNC）
Repeat the calculation using a negative linear trend.
nnc = rnds - trnd; cusum(nnc)
不稳定的运动检测
Generate a signal resembling motion about an axle that becomes unstable due to wear. Add white Gaussian noise of variance 1/9. Reset the random number generator for reproducible results.
rng.defaultsz = 200; dr = airy(2,linspace(-14.9371,1.2,sz)); rd = dr + sin(2*pi*(1:sz)/5) + randn(1,sz)/3;
绘制不断增长的背景漂移和所得到的信号。
情节（DR）持有在绘图（RD，'.-'） 抓住离开
Find the mean and standard deviation if the drift is not present and there is no noise. Plot the ideal noiseless signal and its stable background.
ID = 0.3 * SIN（2 * PI *（1：SZ）/ 20）;ST = ID + SIN（2 * PI *（1：SZ）/ 5）;mf =均值（st）
mf = -3.8212e-16
sf = std(st)
SF = 0.7401.
情节（ID）持有在plot(st,'.-'） 抓住离开
使用CUSUM控制图来确定不稳定性的开始。假设当信号是超出其理想行为的三个标准偏差时，系统变得不稳定。指定一个标准偏差的最小可检测移位。
Cusum（RD，3,1，MF，SF）
Make the violation criterion more strict by increasing the minimum detectable shift. Return all instances of unwanted drift.
cusum（rd,3,1.2,mf,sf,'全部')
高尔夫评分卡
Every hole in golf has an associated "par" that indicates the expected number of strokes needed to sink the ball. Skilled players usually complete each hole with a number of strokes very close to par. It is necessary to play several holes and let scores accumulate before a clear winner emerges in a match.
Ben, Jen, and Ken play a full round, which consists of 18 holes. The course has an assortment of par-3, par-4, and par-5 holes. At the end of the game, the players tabulate their scores.
洞= 1:18;PAR = [4 3 5 3 4 5 3 4 4 4 5 3 5 4 4 4 3 4];nms = {'本';'jen';'ken'};本= [4 3 4 2 3 5 2 3 3 4 3 2 3 3 3 3 2 3];JEN = [4 3 4 3 4 4 3 4 4 4 5 3 4 4 5 5 3 3];ken = [4 3 4 3 5 5 4 4 4 4 5 3 5 4 5 4 3 5];t =桌（洞'，par'，ben'，jen'，ken'，...'VariableNames'，['洞';'par'; nms]）
T=18×5表孔PAR BEN JEN KEN _____ _________ 1 4 4 4 4 2 3 3 3 3 3 5 4 4 4 4 3 2 3 3 5 4 3 4 5 6 5 5 4 5 7 3 2 3 4 8 4 3 4 4 4 49 4 3 4 4 10 4 4 4 4 11 5 3 5 5 12 3 2 3 3 3 13 5 3 4 5 14 4 3 4 4 15 4 3 5 5 16 4 3 5 4⋮
圆形的获胜者是累计综合和最终漂移的球员。计算三个玩家确定获胜者的总和。通过设置小阈值，使每个班次进行平均可检测。
[〜，b，〜，bensum] = cusum（本杆，1,1e-4,0）;[〜，j，〜，Jensum] = cusum（jen-par，1,1e-4,0）;[〜，k，〜，kensum] = cusum（ken-par，1,1e-4,0）;情节（[bensum; Jensum; kensum]'）传奇（NMS，'Location','best')
本赢得了这一轮。通过随机加入或减去每个孔中的行程来模拟他们的下一个游戏。
Ben = Ben + Randi（3,1,18）-2;jen = jen + randi（3,1,18）-2;肯= ken + randi（3,1,18）-2;[〜，b，〜，bensum] = cusum（本杆，1,1e-4,0）;[〜，j，〜，Jensum] = cusum（jen-par，1,1e-4,0）;[〜，k，〜，kensum] = cusum（ken-par，1,1e-4,0）;情节（[bensum; Jensum; kensum]'）传奇（NMS，'Location','best')
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