PINE LIBRARY
Actualizado ApproximateGaussianSmoothing
Library "ApproximateGaussianSmoothing"
This library provides a novel smoothing function for time-series data, serving as an alternative to SMA and EMA. Additionally, it provides some statistical processing, using moving averages as expected values in statistics.
'Approximate Gaussian Smoothing' (AGS) is designed to apply weights to time-series data that closely resemble Gaussian smoothing weights. it is easier to calculate than the similar ALMA.
In case AGS is used as a moving average, I named it 'Approximate Gaussian Weighted Moving Average' (AGWMA).
The formula is:
AGWMA = (EMA + EMA(EMA) + EMA(EMA(EMA)) + EMA(EMA(EMA(EMA)))) / 4
The EMA parameter alpha is 5 / (N + 4), using time period N (or length).
ma(src, length)
Calculate moving average using AGS (AGWMA).
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Moving average.
analyse(src, length)
Calculate mean and variance using AGS.
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Mean and variance.
analyse(dimensions, sources, length)
Calculate mean and variance covariance matrix using AGS.
Parameters:
dimensions (simple int): Dimensions of sources to process.
sources (array<float>): Series of values to process.
length (simple int): Number of bars (length).
Returns: Mean and variance covariance matrix.
trend(src, length)
Calculate intercept (LSMA) and slope using AGS.
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Intercept and slope.
This library provides a novel smoothing function for time-series data, serving as an alternative to SMA and EMA. Additionally, it provides some statistical processing, using moving averages as expected values in statistics.
'Approximate Gaussian Smoothing' (AGS) is designed to apply weights to time-series data that closely resemble Gaussian smoothing weights. it is easier to calculate than the similar ALMA.
In case AGS is used as a moving average, I named it 'Approximate Gaussian Weighted Moving Average' (AGWMA).
The formula is:
AGWMA = (EMA + EMA(EMA) + EMA(EMA(EMA)) + EMA(EMA(EMA(EMA)))) / 4
The EMA parameter alpha is 5 / (N + 4), using time period N (or length).
ma(src, length)
Calculate moving average using AGS (AGWMA).
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Moving average.
analyse(src, length)
Calculate mean and variance using AGS.
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Mean and variance.
analyse(dimensions, sources, length)
Calculate mean and variance covariance matrix using AGS.
Parameters:
dimensions (simple int): Dimensions of sources to process.
sources (array<float>): Series of values to process.
length (simple int): Number of bars (length).
Returns: Mean and variance covariance matrix.
trend(src, length)
Calculate intercept (LSMA) and slope using AGS.
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Intercept and slope.
Notas de prensa
v2更新:
trend(src, length)
Calculate trend statistics using AGS.
Parameters:
src (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Slope, intercept, correlation and RSS.
Notas de prensa
v3Notas de prensa
v4Add:
linreg(src1, src2, length)
Calculate linear regression using AGS.
Parameters:
src1 (float): Series of values to process.
src2 (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Slope, intercept and MSE.
correlation(src1, src2, length)
Calculate correlation using AGS.
Parameters:
src1 (float): Series of values to process.
src2 (float): Series of values to process.
length (simple int): Number of bars (length).
Returns: Correlation coefficient.
Delete:
trend(src, length)
Calculate trend statistics using AGS.
To get trend statistics, use the linreg method with bar_index as the first argument.
Notas de prensa
v5Changed the function name "analyse" to "analyze".
Biblioteca Pine
Fiel al espíritu de TradingView, el autor ha publicado este código de Pine como biblioteca de código abierto, para que otros programadores Pine de nuestra comunidad puedan reutilizarlo. ¡Enhorabuena al autor! Puede usar esta biblioteca de forma privada o en otras publicaciones de código abierto, pero la reutilización de este código en publicaciones está sujeta a nuestras Normas internas.
Exención de responsabilidad
La información y las publicaciones no constituyen, ni deben considerarse como asesoramiento o recomendaciones financieras, de inversión, de trading o de otro tipo proporcionadas o respaldadas por TradingView. Más información en Condiciones de uso.
Biblioteca Pine
Fiel al espíritu de TradingView, el autor ha publicado este código de Pine como biblioteca de código abierto, para que otros programadores Pine de nuestra comunidad puedan reutilizarlo. ¡Enhorabuena al autor! Puede usar esta biblioteca de forma privada o en otras publicaciones de código abierto, pero la reutilización de este código en publicaciones está sujeta a nuestras Normas internas.
Exención de responsabilidad
La información y las publicaciones no constituyen, ni deben considerarse como asesoramiento o recomendaciones financieras, de inversión, de trading o de otro tipo proporcionadas o respaldadas por TradingView. Más información en Condiciones de uso.