GKYZ-Filtered, Non-Linear Regression MA [Loxx]

GKYZ-Filtered, Non-Linear Regression MA is a Non-Linear Regression of price moving average. Use this as you would any other moving average. This also includes a Garman-Klass-Yang-Zhang Historical Volatility Filter to reduce noise.

What is Non-Linear Regression?
In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are fitted by a method of successive approximations.

What is Garman-Klass-Yang-Zhang Historical Volatility?
Yang and Zhang derived an extension to the Garman Klass historical volatility estimator that allows for opening jumps. It assumes Brownian motion with zero drift. This is currently the preferred version of open-high-low-close volatility estimator for zero drift and has an efficiency of 8 times the classic close-to-close estimator. Note that when the drift is nonzero, but instead relative large to the volatility , this estimator will tend to overestimate the volatility . The Garman-Klass-Yang-Zhang Historical Volatility calculation is as follows:

GKYZHV = sqrt((Z/n) * sum((log(open(k)/close( k-1 )))^2 + (0.5*(log(high(k)/low(k)))^2) - (2*log(2) - 1)*(log(close(k)/open(2:end)))^2))

  • Alerts
  • Signals
  • Loxx's Expanded Source Types
  • Bar coloring

Public Telegram Group, t.me/algxtrading_public

VIP Membership Info: www.patreon.com/algxtrading/membership

TradingViewの精神に則り、このスクリプトの作者は、トレーダーが理解し検証できるようにオープンソースで公開しています。作者に敬意を表します!無料で使用することができますが、このコードを投稿で再利用するには、ハウスルールに準拠する必要があります。 お気に入りに登録してチャート上でご利用頂けます。