Here is the adjusted indicator:

DEFPARAM CalculateonLastBars = 500

Length = 200 // Standardlänge

// Gaussian Kernel Berechnung ohne Funktion
CurrentWeight = 0
CumulativeWeight = 0

FOR i = 0 TO Length - 1 DO
Weight = EXP(- (i * i) / (2 * ((Length / 3) * (Length / 3))))
currentWeight = currentWeight + close[i] * weight
cumulativeWeight = cumulativeWeight + weight
NEXT
Ghat = currentWeight / cumulativeWeight

// Rolling Standard Deviation Berechnung ohne Funktion
sumVal = 0
sumSq = 0
FOR i = 0 TO Length - 1 DO
sumVal = sumVal + close[i]
sumSq = sumSq + (close[i] * close[i])
NEXT
mean = sumVal / Length
variance = (sumSq / Length) - (mean * mean)
Deviation = SQRT(MAX(variance, 0))

// Berechnungen
Upper = Ghat + Deviation
Lower = Ghat - Deviation

RETURN Ghat as "Ghat" Coloured(0,255,0), Upper as "Upper" Coloured(0,120,255),Lower as "Lower" Coloured(0,120,255)

When you use this indicator, based on a 5-minute timeframe, you can display it in a graph with a 1-minute timeframe…

DEFPARAM CalculateonLastBars = 500

TimeFrame(5 minutes,UpdateOnClose)
Length = 200 // Standard Period

// Gaussian Kernel Calculation
CurrentWeight = 0
CumulativeWeight = 0

FOR i = 0 TO Length - 1 DO
Weight = EXP(- (i * i) / (2 * ((Length / 3) * (Length / 3))))
currentWeight = currentWeight + close[i] * weight
cumulativeWeight = cumulativeWeight + weight
NEXT
Ghat = currentWeight / cumulativeWeight

// Rolling Standard Deviation Calculation
sumVal = 0
sumSq = 0
FOR i = 0 TO Length - 1 DO
sumVal = sumVal + close[i]
sumSq = sumSq + (close[i] * close[i])
NEXT
mean = sumVal / Length
variance = (sumSq / Length) - (mean * mean)
Deviation = SQRT(MAX(variance, 0))

// Band Calculations
Upper = Ghat + Deviation
Lower = Ghat - Deviation

TimeFrame(Default)

//Plotting
RETURN Ghat as "Ghat" Coloured(0,255,0), Upper as "Upper" Coloured(0,120,255),Lower as "Lower" Coloured(0,120,255)