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The Z-Score price breakout strategy uses the z-score indicator of price to determine whether the current price is in an abnormal state, so as to generate trading signals. When the z-score of price is higher or lower than a threshold, it means the price has entered an abnormal state, at which point long or short positions can be taken.

The core indicator of this strategy is the z-score of price, calculated as follows:

```
Z_score = (C - SMA(n)) / StdDev(C,n)
```

Where C is the closing price, SMA(n) is the simple moving average of n periods, and StdDev(C,n) is the standard deviation of closing price for n periods.

The z-score reflects the degree of deviation of the current price from the average price. When the price z-score is greater than a certain positive threshold (e.g. +2), it means the current price is above the average price by 2 standard deviations, which is a relatively high level. When it is less than a certain negative threshold (e.g. -2), it means the current price is below the average price by 2 standard deviations, which is a relatively low level.

This strategy first calculates the z-score of price, then sets a positive and negative threshold (e.g. 0 and 0). When the z-score is higher than the positive threshold, it generates a buy signal. When lower than the negative threshold, it generates a sell signal.

- Using price z-score to judge price anomalies is a common and effective quantitative method
- Easily achieve both long and short trading
- Flexible parameter settings, adjustable cycle, threshold, etc.
- Can be combined with other indicators to form a trading system

- The z-score strategy is crude and prone to false signals
- Need to set appropriate parameters like cycle and threshold
- Need to consider stop loss strategies to control risk

- Optimize cycle parameters to find the best cycle
- Optimize positive and negative thresholds to reduce false signals
- Add filter conditions, combine with other indicators
- Add stop loss strategies

The z-score price breakout strategy judges whether the current price is in an abnormal state, and trades according to the positive and negative of the price z-score. This strategy is simple and easy to implement, allows two-way trading, but also has some risks. By optimizing parameters, adding stop loss and combining with other indicators, this strategy can be enhanced to form a complete quantitative trading system.

/*backtest start: 2023-11-29 00:00:00 end: 2023-12-04 19:00:00 period: 15m basePeriod: 5m exchanges: [{"eid":"Futures_Binance","currency":"BTC_USDT"}] */ //@version=2 //////////////////////////////////////////////////////////// // Copyright by HPotter v1.0 18/01/2017 // The author of this indicator is Veronique Valcu. The z-score (z) for a data // item x measures the distance (in standard deviations StdDev) and direction // of the item from its mean (U): // z = (x-StdDev) / U // A value of zero indicates that the data item x is equal to the mean U, while // positive or negative values show that the data item is above (x>U) or below // (x Values of +2 and -2 show that the data item is two standard deviations // above or below the chosen mean, respectively, and over 95.5% of all data // items are contained within these two horizontal references (see Figure 1). // We substitute x with the closing price C, the mean U with simple moving // average (SMA) of n periods (n), and StdDev with the standard deviation of // closing prices for n periods, the above formula becomes: // Z_score = (C - SMA(n)) / StdDev(C,n) // The z-score indicator is not new, but its use can be seen as a supplement to // Bollinger bands. It offers a simple way to assess the position of the price // vis-a-vis its resistance and support levels expressed by the Bollinger Bands. // In addition, crossings of z-score averages may signal the start or the end of // a tradable trend. Traders may take a step further and look for stronger signals // by identifying common crossing points of z-score, its average, and average of average. // // You can change long to short in the Input Settings // Please, use it only for learning or paper trading. Do not for real trading. //////////////////////////////////////////////////////////// strategy(title="Z-Score Strategy", shorttitle="Z-Score Strategy") Period = input(20, minval=1) Trigger = input(0) reverse = input(false, title="Trade reverse") hline(Trigger, color=purple, linestyle=line) xStdDev = stdev(close, Period) xMA = sma(close, Period) nRes = (close - xMA) / xStdDev pos = iff(nRes > Trigger, 1, iff(nRes < Trigger, -1, nz(pos[1], 0))) possig = iff(reverse and pos == 1, -1, iff(reverse and pos == -1, 1, pos)) if (possig == 1) strategy.entry("Long", strategy.long) if (possig == -1) strategy.entry("Short", strategy.short) barcolor(possig == -1 ? red: possig == 1 ? green : blue ) plot(nRes, color=blue, title="Z-Score")

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