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Distributed calculating method of standard deviation

A technology of distributed computing and standard deviation, applied in the field of standard deviation calculation, can solve problems such as large amount of calculation, achieve the effect of improving computing efficiency, saving query access time, and reducing the amount of calculation

Inactive Publication Date: 2017-02-15
CHONGQING UNIV OF POSTS & TELECOMM +1
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Problems solved by technology

[0042] In view of this, the purpose of the present invention is to provide a distributed calculation method of standard deviation, as long as the mean value, standard deviation and number of each local population are known, the overall standard deviation can be calculated, thereby solving the problem of existing standard deviation calculation. The method is computationally intensive and technically problematic

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Embodiment Construction

[0052] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0053] The distributed calculation method of the standard deviation of the present embodiment comprises the following steps:

[0054] 1) Input each local population P i ;

[0055] 2) Calculate each local population P i mean μ i , standard deviation σ i , and the number of data n in the local population i ;

[0056] 3) According to the formula Calculate the mean of the input population;

[0057] 4) Use the formula Calculates the standard deviation of the input population. The standard deviation σ of each local population i It can be obtained by using the traditional calculation method of the standard deviation described in the background art or the incremental calculation method of the standard deviation.

[0058] The distributed calculation method of the standard deviation is compared with the traditional calculation method of the standard ...

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Abstract

The invention discloses a distributed calculating method of standard deviation. The distributed calculating method comprises the following steps: 1) inputting each partial totality Pi; 2) calculating the mean value [mu]i and standard deviation STD.Pi of each partial totality Pi and the data number ni of the partial totality; 3) calculating the global mean value of collected data according to a formula; and 4) using the formula to calculate the global standard deviation. According to the distributed calculating method of standard deviation disclosed by the invention, the global standard deviation can be calculated as long as the mean value, standard deviation and umber of the partial totality are known; and through the method, the calculated amount is obviously decreased, due to the fact the dispersedly memorized partial totality is not need to be read frequently, a large amount of inquiry access time is saved, and the actual calculation efficiency is greatly improved.

Description

technical field [0001] The invention relates to the technical field of standard deviation calculation, in particular to a distributed calculation method of standard deviation. Background technique [0002] The standard deviation is defined as: the square root of the arithmetic mean of the square of the deviation between the standard value of each unit of the population and its mean. In statistics, standard deviation is often used to measure the difference and dispersion of a set of values. The larger the standard deviation, the greater the difference between most values ​​and their average value. For example, in physical science, repeated measurement , the standard deviation of the set of measured values ​​represents the precision of those measurements. There are mainly the following methods for obtaining the standard deviation in the prior art: [0003] 1. The sampling calculation method of the standard deviation, that is, a certain sample is drawn from the overall data, ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/18G06Q40/04
CPCG06F17/18G06Q40/04
Inventor 卓颋刘洪明殷荣华高海军何涵
Owner CHONGQING UNIV OF POSTS & TELECOMM
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