Метод |
Описание |
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agm ( number $x, number $y ) : float |
Convenience method for arithmeticGeometricMean |
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arithmeticGeometricMean ( number $x, number $y ) : float |
Arithmetic-Geometric mean |
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contraharmonicMean ( array $numbers ) : number |
Contraharmonic mean
A function complementary to the harmonic mean. |
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cubicMean ( array $numbers ) : number |
Cubic mean
https://en.wikipedia.org/wiki/Cubic_mean
_________
1 n
x cubic = ³/ - ∑ xᵢ³
√ n ⁱ⁼¹ |
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cumulativeMovingAverage ( array $numbers ) : array |
Cumulative moving average (CMA) |
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describe ( array $numbers ) : array |
Get a report of all the averages over a list of numbers
Includes mean, median mode, geometric mean, harmonic mean, quardratic mean |
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exponentialMovingAverage ( array $numbers, integer $n ) : array |
Exponential moving average (EMA) |
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generalizedMean ( array $numbers, number $p ) : number |
Generalized mean (power mean, Hölder mean)
https://en.wikipedia.org/wiki/Generalized_mean |
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geometricMean ( array $numbers ) : number |
Geometric mean
A type of mean which indicates the central tendency or typical value of a set of numbers
by using the product of their values (as opposed to the arithmetic mean which uses their sum). |
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harmonicMean ( array $numbers ) : number |
Harmonic mean (subcontrary mean)
The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals. |
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heronianMean ( number $A, number $B ) : number |
Heronian mean
https://en.wikipedia.org/wiki/Heronian_mean
__
H = ⅓(A + √AB + B) |
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identricMean ( number $x, number $y ) : number |
Identric mean
https://en.wikipedia.org/wiki/Identric_mean
____
1 / xˣ
I(x,y) = - ˣ⁻ʸ/ --
ℯ √ yʸ |
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interquartileMean ( array $numbers ) : number |
Interquartile mean (IQM)
A measure of central tendency based on the truncated mean of the interquartile range. |
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iqm ( array $numbers ) : number |
IQM (Interquartile mean)
Convenience function for interquartileMean |
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kthSmallest ( array $numbers, integer $k ) : number |
Return the kth smallest value in an array
Uses a linear-time algorithm: O(n) time in worst case. |
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lehmerMean ( array $numbers, number $p ) : number |
Lehmer mean
https://en.wikipedia.org/wiki/Lehmer_mean |
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logarithmicMean ( number $x, number $y ) : number |
Logarithmic mean
A function of two non-negative numbers which is equal to their
difference divided by the logarithm of their quotient. |
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mean ( array $numbers ) : number |
Calculate the mean average of a list of numbers |
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median ( array $numbers ) : number |
Calculate the median average of a list of numbers |
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mode ( array $numbers ) : array |
Calculate the mode average of a list of numbers
If multiple modes (bimodal, trimodal, etc.), all modes will be returned. |
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powerMean ( array $numbers, number $p ) : number |
Power mean (generalized mean)
Convenience method for generalizedMean |
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quadraticMean ( array $numbers ) : number |
Quadradic mean (root mean square)
Convenience function for rootMeanSquare |
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rootMeanSquare ( array $numbers ) : number |
Root mean square (quadratic mean)
The square root of the arithmetic mean of the squares of a set of numbers. |
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simpleMovingAverage ( array $numbers, integer $n ) : array |
Simple n-point moving average SMA
The unweighted mean of the previous n data. |
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trimean ( array $numbers ) : number |
Trimean (TM, or Tukey's trimean)
A measure of a probability distribution's location defined as
a weighted average of the distribution's median and its two quartiles. |
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truncatedMean ( array $numbers, integer $trim_percent ) : number |
Truncated mean (trimmed mean)
The mean after discarding given parts of a probability distribution or sample
at the high and low end, and typically discarding an equal amount of both. |
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weightedMovingAverage ( array $numbers, integer $n, array $weights ) : array |
Weighted n-point moving average (WMA) |
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