Cumulative distribution function - Probability

Cumulative distribution function (tScore and zScore)

This script provides the calculation of the cumulative distribution function (i.e., probability). The measure allows you to calculate the chances of a value of interest being above or below a hypothesized value over the measurement period—nothing fancy here, just good old statistics and mathematics. The closer you are to 0 or 1, the more significant your measurement. We’ve included a significance level highlighting feature. The ability to turn price and/or volume off.

We have included both the Z and T statistics. Where the ‘Z’ is looking at the difference of the current value, minus the mean, and divided by the standard deviation. This is usually pretty noisy on a single value, so a smoother is included. Nice shoutout to the Pinecoders Github Page with this function also. The t-statistic is measuring the difference between a short measurement, an extended measurement, and divided by the standard error (sigma/sqrt(n)). Both of these are neatly wrapped into a function, so please feel free to use them in your code. Add a bit of science to your guessing game. For the purists out there, we have chosen to use sigma in the t-statistic because we know the population's behavior (as opposed to the s-measure). We’ve also included two levels of the t-statistic cumulative distribution function if you are using a short sample period below 6.

Finally, because everyone loves choices, we’ve included the ability to measure the probability of:
  • the current value (Price and volume )
  • change
  • percent change
  • momentum (change over a period of time)
  • Acceleration (change of the change)
  • contribution (amount of the current bar over the sum)
  • volatility (natural log ratio of today and the previous bar)

Here is a chart example explaining some of the data for the function.

Here are the various options you have the print the different measurements

A comparison of the t-statistic and z-statistic (t-score and z-score)

And the coloring options

오픈 소스 스크립트

이 스크립트의 오써는 참된 트레이딩뷰의 스피릿으로 이 스크립트를 오픈소스로 퍼블리쉬하여 트레이더들로 하여금 이해 및 검증할 수 있도록 하였습니다. 오써를 응원합니다! 스크립트를 무료로 쓸 수 있지만, 다른 퍼블리케이션에서 이 코드를 재사용하는 것은 하우스룰을 따릅니다. 님은 즐겨찾기로 이 스크립트를 차트에서 쓸 수 있습니다.


이 정보와 게시물은 TradingView에서 제공하거나 보증하는 금융, 투자, 거래 또는 기타 유형의 조언이나 권고 사항을 의미하거나 구성하지 않습니다. 자세한 내용은 이용 약관을 참고하세요.

차트에 이 스크립트를 사용하시겠습니까?