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Probability Distribution Histogram

Probability Distribution Histogram

During data exploration it is often useful to plot the distribution of the data one is exploring. This indicator plots the distribution of data between different bins.

Essentially, what we do is we look at the min and max of the entire data set to determine its range. When we have the range of the data, we decide how many bins we want to divide this range into, so that the more bins we get, the smaller the range (a.k.a. width) for each bin becomes. We then place each data point in its corresponding bin, to see how many of the data points end up in each bin. For instance, if we have a data set where the smallest number is 5 and the biggest number is 105, we get a range of 100. If we then decide on 20 bins, each bin will have a width of 5. So the left-most bin would therefore correspond to values between 5 and 10, and the bin to the right would correspond to values between 10 and 15, and so on.

Once we have distributed all the data points into their corresponding bins, we compare the count in each bin to the total number of data points, to get a percentage of the total for each bin. So if we have 100 data points, and the left-most bin has 2 data points in it, that would equal 2%. This is also known as probability mass (or well, an approximation of it at least, since we're dealing with a bin, and not an exact number).



Usage

This is not an indicator that will give you any trading signals. This indicator is made to help you examine data. It can take any input you give it and plot how that data is distributed.

The indicator can transform the data in a few ways to help you get the most out of your data exploration. For instance, it is usually more accurate to use logarithmic data than raw data, so there is an option to transform the data using the natural logarithmic function. There is also an option to transform the data into %-Change form or by using data differencing.

Another option that the indicator has is the ability to trim data from the data set before plotting the distribution. This can help if you know there are outliers that are made up of corrupted data or data that is not relevant to your research.

I also included the option to plot the normal distribution as well, for comparison. This can be useful when the data is made up of residuals from a prediction model, to see if the residuals seem to be normally distributed or not.
發布通知: Version 1.0.1
  • Fixed minor spelling errors in the tooltip about the "data transformation method" option.
  • Fixed a bug with the trimming of the data.
發布通知: No code changes. Corrected the chart image used for the publication.
發布通知: Version 1.0.3
  • Added the first 4 moments to the TradingView Data Window.
開源腳本

秉持真正的TradingView精神,該腳本的作者將其開源發佈,因此交易者可以理解和驗證它。為作者加油!您可以免費使用它,但是在發佈中重複使用此程式碼受網站規則的約束。您可以把它加入到常用以在圖表上使用它。

想在圖表上使用此腳本?

評論

500 代幣
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great job
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nice
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This publication is now featured in our Editors' Picks: https://www.tradingview.com/scripts/editors-picks/ .
In the name of all TradingViewers, thank you for your valuable contribution to the community, and congrats!
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how its work ing
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Love it!
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Excelent Work!
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