demean(src) Calculates a series subtracted from the series mean. Parameters: src: The series used to calculate the difference from the mean (e.g. log returns). Returns: The series subtracted from the series mean
cumsum(src, length) Calculates a cumulated sum from the series. Parameters: src: The series used to calculate the cumulative sum (e.g. demeaned log returns). length: The length used to calculate the cumulative sum (e.g. 100). Returns: The cumulative sum of the series as an array
aproximateLogScale(scale, length) Calculates an aproximated log scale. Used to save sample size Parameters: scale: The scale to aproximate. length: The length used to aproximate the expected scale. Returns: The aproximated log scale of the value
rootMeanSum(cumulativeSum, barId, numberOfSegments) Calculates linear trend to determine error between linear trend and cumulative sum Parameters: cumulativeSum: The cumulative sum array to regress. barId: The barId for the slice numberOfSegments: The total number of segments used for the regression calculation Returns: The error between linear trend and cumulative sum
averageRootMeanSum(cumulativeSum, barId, length) Calculates the Root Mean Sum Measured for each block (e.g the aproximated log scale) Parameters: cumulativeSum: The cumulative sum array to regress and determine the average of. barId: The barId for the slice length: The length used for finding the average Returns: The average root mean sum error of the cumulativeSum
criticalValues(length) Calculates the critical values for a hurst exponent for a given length Parameters: length: The length used for finding the average Returns: The critical value, upper critical value and lower critical value for a hurst exponent
slope(cumulativeSum, length) Calculates the hurst exponent slope measured from root mean sum, scaled to log log plot using linear regression Parameters: cumulativeSum: The cumulative sum array to regress and determine the average of. length: The length used for the hurst exponent sample size Returns: The slope of the hurst exponent
smooth(src, length) Smooths input using advanced linear regression Parameters: src: The series to smooth (e.g. hurst exponent slope) length: The length used to smooth Returns: The src smoothed according to the given length
exponent(src, hurstLength) Wrapper function to calculate the hurst exponent slope Parameters: src: The series used for returns calculation (e.g. close) hurstLength: The length used to calculate the hurst exponent (should be greater than 50) Returns: The src smoothed according to the given length
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