exponentialMovingAverage() function

exponentialMovingAverage() calculates the exponential moving average of n number of values in the _value column giving more weight to more recent data.

Exponential moving average rules

• The first value of an exponential moving average over n values is the algebraic mean of n values.
• Subsequent values are calculated as y(t) = x(t) * k + y(t-1) * (1 - k), where:
  • y(t) is the exponential moving average at time t.
  • x(t) is the value at time t.
  • k = 2 / (1 + n).
• The average over a period populated by only null values is null.
• Exponential moving averages skip null values.

Function type signature

(<-tables: stream[{A with _value: B}], n: int) => stream[{A with _value: B}] where B: Numeric

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Parameters

n

({{< req >}}) Number of values to average.

tables

Input data. Default is piped-forward data (<-).

Examples

• Calculate a three point exponential moving average
• Calculate a three point exponential moving average with null values

Calculate a three point exponential moving average

import "sampledata"

sampledata.int()
    |> exponentialMovingAverage(n: 3)

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Input data

Output data

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Calculate a three point exponential moving average with null values

import "sampledata"

sampledata.int(includeNull: true)
    |> exponentialMovingAverage(n: 3)

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Input data

Output data

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