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Local Model Kalman Market Mode

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Introduction
Heyo guys, I made a new (repainting) indicator called Local Model Kalman Market Mode.
I created it, because I wanted a reliable market mode filter for a potential mean-reversion strategy (e. g. BB Scalping).

On the screenshot you can see an example of how to use it in a BB strategy.
E.g. you would enter long when you have bullish divergence, price is under lower BB, price is under PoC and this indicator here shows range-bound market phase.
You would exit long on cross of the middle band.

Description
The indicator attempts to model the underlying market using different local models (i.e., trending, range-bound, and choppy) and combines them using the T3 Six Pole Kalman Filter to generate an overall estimate of the market.
The Fisher Transform is applied on the price to reach a Gaussian distribution, which increases the accuracy of the indicator itself.
The script first defines state variables for each local model, which include trend direction, trend strength, upper and lower bounds of the range, volatility of the range, level of choppiness, and strength of noise.
Then, likelihood functions are defined for each local model based on the state variables.
Next, the script calculates weights for each local model based on their likelihoods and uses them to calculate state variables for the overall estimate.
Finally, the script combines the state variables using the T3 Six Pole Kalman Filter to generate the overall estimate of the market, which is plotted in blue.

Fundamental Knowledge
To understand the explanation of the indicator and the script, there are a few fundamental concepts that you need to know:

Market: A market is a place where buyers and sellers come together to exchange goods or services.
In the context of trading, the market refers to the exchange where financial instruments such as stocks, currencies, and commodities are bought and sold.

Local models: Local models are statistical models that attempt to capture the characteristics of a particular market regime.
For example, a trending market may have different characteristics than a range-bound market or a choppy market.
The indicator uses different local models to capture the different market regimes.

Trend direction and strength: The trend direction refers to the direction in which the market is moving, either up or down.
The trend strength refers to the magnitude of the trend and how likely it is to continue.

Range-bound market: A range-bound market is a market where prices are trading within a specific range, with a clear upper and lower bound.

Choppiness: Choppiness refers to the degree of irregularity in price movements, often seen in sideways or range-bound markets.

Volatility: Volatility refers to the degree of variation in the price of an asset over time. High volatility implies larger price swings, while low volatility implies smaller price swings.

Kalman filter: A Kalman filter is a mathematical algorithm used to estimate an unknown variable from a series of noisy measurements.
In the context of the indicator, the Kalman filter is used to generate an overall estimate of the market by combining the local models.

T3 Six Pole Kalman Filter: The T3 Six Pole Kalman Filter is a specific type of Kalman filter that is used to smooth and filter time-series data, such as the price data of a financial instrument.

Fisher Transform: The Fisher Transform is a mathematical formula used to transform any probability distribution into a Gaussian normal distribution. It is commonly used in technical analysis to transform non-Gaussian indicators into ones that are more suitable for statistical analysis.

By understanding these fundamental concepts, you should have a basic understanding of how the indicator works and how it generates an overall estimate of the market.

Usage
You can use this indicator on every timeframe.
Users can customize the parameters of the T3 Six Pole Kalman Filter (T3 length, alpha, beta, gamma, and delta) using input functions.
Try out different parameter combinations and use the one you like most.

Thank you for checking this out. Leave me a comment or boost the script, when you wanna support me! 👌

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Credits to:
▪@HPotter - Fisher Transform
▪@loxx - T3
▪ChatGPT - Helped me to make the research for this indicator and helped to build the core algorithm.
Nota Keluaran:
Updated screenshot
Nota Keluaran:
Updated screenshot
Changed " to '
Nota Keluaran:
Updated inputs
Added background colors to visualize the market phases
Nota Keluaran:
Removed wrong max_bars_back
Nota Keluaran:
Reworked T3 inputs
Nota Keluaran:
FIxed bug where label was not shown

Skrip sumber terbuka

Dalam semangat TradingView yang sebenar, penulis skrip ini telah menerbitkannya dengan menggunakan sumber terbuka supaya pedagang-pedagang dapat memahami dan mengesahkannya. Sorakan kepada penulis! Anda dapat menggunakannya secara percuma tetapi penggunaan semula kod ini dalam penerbitan adalah dikawalselia oleh Peraturan Dalaman. Anda boleh menyukainya untuk menggunakannya pada carta.

Penafian

Maklumat dan penerbitan adalah tidak dimaksudkan untuk menjadi, dan tidak membentuk, nasihat untuk kewangan, pelaburan, perdagangan dan jenis-jenis lain atau cadangan yang dibekalkan atau disahkan oleh TradingView. Baca dengan lebih lanjut di Terma Penggunaan.

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