JMA - Jurik Moving Average

In the realm of those rocket scientists who create formulas

to denoise statistical data for clearer signals.

 

The blue line is the JMA while the magenta line is a Simple MA.

Values above 10 will begin to create overshoot where the line

will go where price has not reached. 

 

[Description="Jurik Moving Average - responds rapidly and maintains comparable smoothness with significantly less lag."]
[target=price; color=dodger blue; width=2]
p:= input("Period",10,1,15);
TN1:=ma(C,p,S);
s1 :=   ((p-(2*0)-1)/2)*Ref(C,-0);
s2 :=s1+((p-(2*1)-1)/2)*Ref(C,-1);
s3 :=s2+((p-(2*2)-1)/2)*Ref(C,-2);
s4 :=s3+((p-(2*3)-1)/2)*Ref(C,-3);
s5 :=s4+((p-(2*4)-1)/2)*Ref(C,-4);
s6 :=s5+((p-(2*5)-1)/2)*Ref(C,-5);
s7 :=s6+((p-(2*6)-1)/2)*Ref(C,-6);
s8 :=s7+((p-(2*7)-1)/2)*Ref(C,-7);
s9 :=s8+((p-(2*8)-1)/2)*Ref(C,-8);
s10:=s9+((p-(2*9)-1)/2)*Ref(C,-9);
s11:=s10+((p-(2*10)-1)/2)*Ref(C,-10);
s12:=s11+((p-(2*11)-1)/2)*Ref(C,-11);
s13:=s12+((p-(2*12)-1)/2)*Ref(C,-12);
s14:=s13+((p-(2*13)-1)/2)*Ref(C,-13);
s15:=s14+((p-(2*14)-1)/2)*Ref(C,-14);
IT:=if(p=1,S1,if(p=2,S2,if(p=3,S3,if(p=4,S4,if(p=5,S5,if(p=6,S6,if(p=7,S7,if(p=8,S8,if(p=9,S9,if(p=10,S10,if(p=11,S11,if(p=12,S12,if(p=13,S13,if(p=14,S14,if(p=15,S15,0)))))))))))))));
TN1+(((p/2)+1)*IT)/((p+1)*p);
[color=magenta]
TN1;