该策略是一个融合了量子力学、统计学和经济学原理的创新型量化交易系统。它通过结合简单移动平均(SMA)、Z-Score统计分析、量子波动组件、经济动量指标以及李雅普诺夫稳定性指数,构建了一个全面的市场分析框架。策略的核心是通过这些多维度指标的加权组合,生成一个综合市场前景指数(COI),用于指导交易决策。
策略建立在五个主要技术支柱之上: 1. 统计分析模块使用SMA和标准差计算Z-Score,评估价格的相对位置。 2. 量子组件将Z-Score转化为振荡器,通过指数和正弦函数模拟量子态的波动特性。 3. 经济组件利用快速和慢速EMA的对数比率衡量市场动量。 4. 李雅普诺夫指数通过分析量子和经济组件的组合稳定性来评估市场状态。 5. 综合市场前景指数(COI)将所有组件按不同权重整合,形成最终的交易信号。
这是一个创新型的量化交易策略,通过融合多学科理论构建了一个全面的市场分析框架。虽然存在一些需要优化的地方,但其多维度分析方法为交易决策提供了独特的视角。通过持续优化和风险管理的改进,该策略有望在不同市场环境下保持稳定的表现。
/*backtest
start: 2024-03-08 18:40:00
end: 2024-11-01 00:00:00
period: 1h
basePeriod: 1h
exchanges: [{"eid":"Binance","currency":"ETH_USDT"}]
*/
// This Pine Script™ code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © Quantum-Lukas 2.0
//@version=6
strategy("Quantum Spectral Crypto Trading", shorttitle="QSCT", overlay=true, precision=2)
// ──────────────────────────────────────────────────────────────
// Input Parameters
// ──────────────────────────────────────────────────────────────
smaLength = input.int(50, title="SMA Length (Quantum & Statistical Component)", minval=1)
emaFastLength = input.int(20, title="EMA Fast Length (Economic Component)", minval=1)
emaSlowLength = input.int(50, title="EMA Slow Length (Economic Component)", minval=1)
quantumWeight = input.float(20.0, title="Quantum Component Weight", step=0.1)
economicWeight = input.float(30.0, title="Economic Component Weight", step=0.1)
statisticalWeight = input.float(20.0, title="Statistical Component Weight", step=0.1)
lyapunovWeight = input.float(10.0, title="Lyapunov Stability Weight", step=0.1)
// ──────────────────────────────────────────────────────────────
// Price Averages and Volatility Calculation
// ──────────────────────────────────────────────────────────────
smaPrice = ta.sma(close, smaLength)
stdevPrice = ta.stdev(close, smaLength)
// ──────────────────────────────────────────────────────────────
// Statistical Component: z-score Calculation
// ──────────────────────────────────────────────────────────────
z = (close - smaPrice) / stdevPrice
// ──────────────────────────────────────────────────────────────
// Quantum Component: Inspired by Quantum Mechanics
// ──────────────────────────────────────────────────────────────
quantum_component = math.exp(-0.5 * z * z) * (1 + math.sin((math.pi / 2) * z))
// ──────────────────────────────────────────────────────────────
// Economic Component: EMA Ratio as a Proxy for Market Momentum
// ──────────────────────────────────────────────────────────────
emaFast = ta.ema(close, emaFastLength)
emaSlow = ta.ema(close, emaSlowLength)
economic_component = math.log(emaFast / emaSlow)
// ──────────────────────────────────────────────────────────────
// Lyapunov Exponent for Market Stability (Prevents Log(0) Error)
// ──────────────────────────────────────────────────────────────
lyapunov_index = ta.sma(math.log(math.max(1e-10, math.abs(economic_component + quantum_component))), smaLength)
// ──────────────────────────────────────────────────────────────
// Composite Crypto Outlook Index Calculation (Fixed Indentation)
// ──────────────────────────────────────────────────────────────
crypto_outlook_index =
50 + quantumWeight * (quantum_component - 1) +
economicWeight * economic_component +
statisticalWeight * z +
lyapunovWeight * lyapunov_index
// ──────────────────────────────────────────────────────────────
// Plotting and Visual Enhancements
// ──────────────────────────────────────────────────────────────
// Normalized for better visibility in the BTC/USD chart range
normalized_outlook_index = (crypto_outlook_index - 50) * close / 100
plot(normalized_outlook_index, title="Scaled Crypto Outlook Index", color=color.blue, linewidth=2)
// Debugging: Plot each component separately
plot(quantum_component, title="Quantum Component", color=color.purple, linewidth=1)
plot(economic_component, title="Economic Component", color=color.orange, linewidth=1)
plot(z, title="Statistical Component (Z-Score)", color=color.yellow, linewidth=1)
plot(lyapunov_index, title="Lyapunov Stability Index", color=color.aqua, linewidth=1)
hline(50, title="Neutral Level", color=color.gray)
hline(70, title="Bullish Threshold", color=color.green, linestyle=hline.style_dotted)
hline(30, title="Bearish Threshold", color=color.red, linestyle=hline.style_dotted)
// Background color for bullish/bearish conditions
bgcolor(crypto_outlook_index > 50 ? color.new(color.green, 90) : color.new(color.red, 90), title="Outlook Background")
// ──────────────────────────────────────────────────────────────
// Trading Strategy: Entry and Exit Conditions (Fixed Errors)
// ──────────────────────────────────────────────────────────────
// Define entry conditions
longCondition = crypto_outlook_index > 70
shortCondition = crypto_outlook_index < 30
// Execute long entry
if (longCondition)
strategy.entry("Long", strategy.long)
// Execute short entry
if (shortCondition)
strategy.entry("Short", strategy.short)
// Define exit conditions (Added Stop Losses)
if (crypto_outlook_index < 50)
strategy.exit("Exit Long", from_entry="Long", stop=low)
if (crypto_outlook_index > 50)
strategy.exit("Exit Short", from_entry="Short", stop=high)