The asymmetry coefficient, the asymmetry coefficient and kurtosis, how to calculate the asymmetry coefficient, options for calculating the coefficient

The asymmetry coefficient is not an easy concept. However, this is the opinion of beginners. Upon closer examination, this term is quite easily acquired. This is perhaps the most important concept in the whole theory of probability. It is the asymmetry coefficient and kurtosis that contribute to the calculation and identification of random variables. These values ​​are calculated by the formulas. In order to find out what is the asymmetry coefficient, you must have the following information: the magnitude of the central moment and the magnitude of the standard deviation. In addition, it is necessary that X, which denotes the coefficient itself, is obviously less than infinity. Otherwise, all calculations are meaningless. X is not a finite number. In order to find the perfect solution and find out what is the asymmetry coefficient in a particular case, you will need to use a few more formulas. It is advisable that the result you get is close to zero.

Why is it so important to calculate the asymmetry index? This is necessary to collect statistics and predict results. In all areas of activity, statistics play an important role. The asymmetry coefficient in the case of its compilation helps in calculating the behavior of the building after construction, the possibility of its destruction, which means it helps to take measures to prevent such situations. And this is not an isolated case in which this mathematical operation makes sense: it calculates the connection of the pipe with the flange before welding, reveals any relative building shifts ... Agree, it is easier to calculate the asymmetry coefficient and prevent possible errors than to build a building or weld a part, but then redo it. This is not only more convenient, but also cheaper: as a rule, huge amounts of money are spent on rework.

In generally accepted formulas, the asymmetry coefficient is denoted by As. As a rule, random deviations that are not actually present are predicted and introduced. This is done in order to check how the whole structural system as a whole behaves if such an error, even a minimal one, occurs. It is believed that the error in any case takes place. Only it can either spoil everything, or remain insignificant and not violate the structure. The calculation of the asymmetry and kurtosis coefficients helps to predict this error.

There are still a lot of similar statistical methods, which are also characterized by their usefulness, but only the asymmetry coefficient helps to track the near future and the probability that other methods cannot provide. Among them: ordinal statistics, ranking statistics, etc.

By the way, in order to calculate this coefficient, you can collect either information that is already grouped, or even disparate, not summarized figures.

These calculations are most often used in the natural sciences, as well as banking, constantly in any construction calculations, because their indicators are extremely accurate and plausible. Using these calculations will protect against subsequent, possibly irreparable errors.

So take the trouble to find a good extras for your company, so as not to β€œburn out” in any case. He will be able to predict the situation with the affairs of your enterprise no worse than any psychic, and in many ways - even better. After all, numbers have an advantage over words: they are always accurate. By the way, you can figure out the formulas yourself if you are even a little familiar with higher mathematics. Simply open a good textbook on statistics and consider the paragraphs that describe the asymmetry coefficient. Good luck!

Source: https://habr.com/ru/post/G47169/


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