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Mean reversion and autoregression

Do you usng this models? I talk about mean reversion to ema of 1 stock time series

4 responses

Could you clarify what you're looking for? Doing a quick search, here are some threads discussing EMA and mean reversion. That should give you a head start.

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Alisa Hi thanks for links,very intresting.
https://www.quantopian.com/posts/mean-reversion-algorithm-for-club-use
There are mean reversion between paair of stocks
My question is only about one stock and mean reversion to their long EMA

//example
spread=CurrentPrice-EMA(50)  
zscore = (spread - np.mean(spread_wind)) / np.std(spread_wind)  
if zscore >= entry_threshold_pos  order(sec1, int(buy_amount_factor)  

But this is very simple model.The are no calculation in with state is market(big volatility or short volatility)
(mean-reversion work only on small volatility) So i need mathematical models ,instruments to recognise flat and approve mean reversion hypotesis on this market

Another part of my qustion is about autoregression,GARTCH and another odels.
Problem is that this models does not have mean reversion comonent
So i need model which combine mean reversion and autoregression/Which can predict short term(1 step forward volatility and direction)

AR model just involves matrix inversion. You can do that with numpy. I'm not sure if there is a package in quantopian that gives you AR model itself.

Mean reversion (in time series language) is about periodicity. When you do the AR modeling, you can check if the error term has a periodicity. That points to mean reverting behavior. If it is present, you can backtest a trading strategy based on the behavior.

Bharath Rao thanks