OPEN-SOURCE SCRIPT

[SGM Markov Chain]

已更新
Introduction

A Markov chain is a mathematical model that describes a system evolving over time among a finite number of states. This model is based on the assumption that the future state of the system depends only on the current state and not on previous states, the so-called Markov property. In the context of financial markets, Markov chains can be used to model transitions between different market conditions, for example, the probability of a price going up after going up, or going down after going down.

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Script Description

This script uses a Markov chain to calculate closing price transition probabilities across the entire accessible chart. It displays the probabilities of the following transitions:

- Up after Up (HH): Probability that the price rises after going up.
- Down after Down (BB): Probability that the price will go down after going down.
- Up after Down (HB): Probability that the price goes up after going down.
- Down after Up (BH): Probability that the price will go down after going up.

Features

- Color customization: Choose colors for each transition type.
- Table Position: Select the position of the probability display table (top/left, top/right, bottom/left, bottom/right).
發布通知
correction, probability measured on the total candles for a total probability of 100% (instead of 200% for the previous version)
發布通知
added chi square test

Chi Square Test
Objective: Evaluate the independence between two categorical variables or the conformity of an observed distribution to an expected distribution.

Types:

Fit: Compare an observed distribution to a theoretical distribution.
Independence: Test the association between two categorical variables.

Methodology :

Calculation of expected frequencies.
Application of the formula:

𝜒2=∑ ((𝑂𝑖−𝐸𝑖)^2 / 𝐸𝑖)

Comparison with a critical value to determine significance.

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- addition of the choice of level of significance

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發布通知
The script now calculates transition probabilities after an up or down movement, updates the table format to show these probabilities correctly, adjusts chi-square calculations to match the new probabilities, and ensures proper display of significance based on updated chi-square critical values.
發布通知
option to change table color
markovmarkovchainstatistics

開源腳本

在真正的TradingView精神中,這個腳本的作者以開源的方式發佈,這樣交易員可以理解和驗證它。請向作者致敬!您可以免費使用它,但在出版物中再次使用這段程式碼將受到網站規則的約束。 您可以收藏它以在圖表上使用。

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