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# Martingale

### Introduction

A martingale is any of a class of betting strategies that originated from and were popular in 18th century France. The simplest of these strategies was designed for a game in which the gambler wins his stake if a coin comes up heads and loses it if the coin comes up tails. The strategy had the gambler double his bet after every loss, so that the first win would recover all previous losses plus win a profit equal to the original stake. The martingale strategy has been applied to roulette as well, as the probability of hitting either red or black is close to 50%.

Since a gambler with infinite wealth will, almost surely, eventually flip heads, the martingale betting strategy was seen as a sure thing by those who advocated it. Of course, none of the gamblers in fact possessed infinite wealth, and the exponential growth of the bets would eventually bankrupt "unlucky" gamblers who chose to use the martingale. It is therefore a good example of a Taleb distribution – the gambler usually wins a small net reward, thus appearing to have a sound strategy. However, the gambler's expected value does indeed remain zero (or less than zero) because the small probability that he will suffer a catastrophic loss exactly balances with his expected gain. (In a casino, the expected value is negative, due to the house's edge.) The likelihood of catastrophic loss may not even be very small. The bet size rises exponentially. This, combined with the fact that strings of consecutive losses actually occur more often than common intuition suggests, can bankrupt a gambler quickly.

### Settings

• Initpos - The initialization of the position,which is the first time the EA open positions.
• Times - The ratio of late positions and earlier positions,which can determine the positions to place an order.
• MaxOrders - The Maximum number of consecutive place orders.

### Conclusion

Assuming that the win/loss outcomes of each bet are independent and identically distributed random variables, the stopping time has finite expected value. This justifies the following argument, explaining why the betting system fails: Since expectation is linear, the expected value of a series of bets is just the sum of the expected value of each bet.Since in such games of chance the bets are independent, the expectation of each bet does not depend on whether you previously won or lost. In most casino games, the expected value of any individual bet is negative, so the sum of lots of negative numbers is also always going to be negative.The martingale strategy fails even with unbounded stopping time, as long as there is a limit on earnings or on the bets (which are also true in practice). It is only with unbounded wealth, bets and time that the martingale becomes a winning strategy.

### Others

• Eventually, the software copyright belongs to scuxia.
• If you have any questions, please contact the author at the site.
• Subscribers can email contact the author, the product supports free after sale service.(Email:scuxia@gmail.com)
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Weekly Breakout Expert Advisor
Xianba Xia
Weekly Breakout Forex Expert Advisor  trades in the direction of a breakout from a previous week's range. It uses the Low of the previous week as the stop loss for its buy orders, and it uses High of the previous week as the stop loss level for its sell orders. If the new week starts within the previous week's trading range, the EA uses two pending stop orders to implement its strategy. They will expire at the end of the week if not triggered. If the week starts outside the previous week's range
100 USD
Heiken Ashi Naive
Xianba Xia
Introduction Heiken Ashi Naive is a MetaTrader Expert Advisor based on Heiken Ashi charting system through the platform's standard indicator by the same name. The employed trading system is naive in a way that it interprets only two latest Heiken Ashi candles and does not apply any complex pattern analysis. The only trick is that the Expert Advisor trades against the supposed trend direction, confirmed by current Heiken Ashi setup. Its biggest advantage is that it has no input parameters to opti
100 USD
Broker Scalp
Xianba Xia
Broker Scalp Trade strategy is one of the most popular fundamental Forex trading strategies. It is used not only by the common retail traders but also by the big hedge funds. The main principle of the carry trade strategies is to buy currency with a high interest rate and sell one with a low interest rate. Such setup offers profit not only from the currency pair's fluctuations but also from the interest rate difference (overnight interest rate).  This strategy should only be applied under the no
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Trend Indicators
Xianba Xia
This indicator does exactly what its name is telling you. It shows where the trend begins, where it ends and where there is no trend at all. It's based on standard MetaTrader ADX (Average Direction Movement Index) indicators and works quite fast. Trend Indicators displays itself in the main chart window. Available for MetaTrader 4 and MetaTrader 5 platforms. Input parameters period (default = 5) — period of the ADX indicator. Warning You should be warned that this indicator redraws the curre
100 USD
Third Generation Moving Average
Xianba Xia
Description 3rd Generation Moving Average MetaTrader indicator - is an advanced version of the standard moving average (MA), which implements a rather simple lag-reducing procedure based on the longer MA period. The method was first described by M. Duerschner in his article Gleitende Durchschnitte 3.0 (in German). The presented version uses λ = 2, which provides the best possible lag-reducing. Higher λ increases similarity with the classic moving average. The indicator is available for both MT4
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Aroon Up and Down
Xianba Xia
Aroon Up & Down MetaTrader indicator - detecting the local tops and bottoms of the chart it was applied to, this indicator provides the signals for buying and selling the currency pairs when they rise up from the bottom and fall from the top. The cross of the indicator lines provide a good signal to take the profit or to exit with a minimum loss. This indicator can send sound and e-mail alerts on the cross. It is available in both MetaTrader 4 and MetaTrader 5 versions. Input parameters: Aroon
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USDX For MT4
Xianba Xia
USDX (MetaTrader indicator)  — calculates the dollar index (USDX or DXY) using the EUR/USD, USD/JPY, GBP/USD, USD/CAD, USD/CHF and USD/SEK currency pairs. The formula used for calculation is the following: USDX = 50.14348112 × EURUSD -0.576  × USDJPY 0.136  × GBPUSD -0.119  × USDCAD 0.091  × USDSEK 0.042  × USDCHF 0.036 The resulting indicator resembles USDX — a dollar index traded on ICE. The index was introduced in 1973 at an initial value of 100. The rules for its calculation were updated onl
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PersistentAnti
Xianba Xia
Persistence and Anti-Persistence PersistentAnti Forex expert advisor  explores the idea of trend persistency. It is believed that the Forex market charts may switch between persistent and anti-persistent modes. In a persistent mode, the established trend is likely to continue. In an anti-persistent mode, a positive change is likely to be followed by a negative one, and a negative change will probably be followed by a positive one. Obviously, such a property, when detected, can be of great help t
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Xianba Xia
Trade Assistant MetaTrader indicator - a multi-timeframe indicator that is based on three standard indicators: Stochastic, RSI (Relative Strength Index) and CCI (Commodity Channel Index). It displays current trend directions for M5, M15, M30, H1, H4 and D1. When you follow such an indicator you have the clear picture of the trends in all important timeframes. It doesn't matter to what timeframe chart you attach this indicator. It's also not recommended to change any input parameters. The indicat
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Xianba Xia
Martingale trading system - is based on the popular betting (gambling) system of the 18th century France. The main principle of this system is to double the bet each time you lose so that if you win (considering a 100% bet win/loss each time) you recover a previous loss and will also gain the first bet amount. If one had an infinite amount of money, this strategy would be a sure-fire thing as with the infinite amount of bets the necessary result will with probability 1 eventually come. The probl
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HistoryRecordAnalysis
Xianba Xia
This is a good tool for the analysis of transaction history records in Forex platform, and it can display the history of transactions recorded on the chart, while the time and the price are displayed in the form of a two-dimensional graph. It is convenient for the traders analyzing transaction records of others, or summarizing their own ones in order to improve the level of trading in the Forex market. Instructions Buy Orders: Opening position is a red box, the box values are opening prices; c
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BreakOut indicator
Xianba Xia
BreakOut (MetaTrader indicator) — indicates the distance of the current price (Close or High/Low) from breaking out of the recently set support or resistance levels, which are detected using local minimums and maximums. Input parameters L  (default = 50) — period of the indicator. The higher is the value the less breakouts are signaled but the better their quality. PriceType  (default = 1) — type of price to be used in calculations. In theory, Close is better for daily/weekly timeframes, High/
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TwoLines MACD
Xianba Xia
Descriptions The MACD series proper was invented by Gerald Appel in the 1970s. Thomas Aspray added the divergence bar graph to the MACD in 1986, as a means to anticipate MACD crossovers, an indicator of important moves in the underlying security. The following R language code computes the three series of the MACD indicator from a given price series "stockPrices": MACD = [stockPrices,12]EMA - [stockPrices,26]EMA signal = [MACD,9]EMA divergence = MACD – signal Input Parameters FastEMA： Fast moving
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Overlap
Xianba Xia
Introduction We always need to compare two currency pairs trend many times and to find what is the relationship? Is inversely proportional relationship or relationship, or nothing, of course, the most direct way is to put the two currencies in comparison with in the same chart, this is the original intention of the development of this indicator. Now is the time for the technology to achieve as below. Parameters SubSymbol - The currency need to add for comparison. BullBarColor - The color of the
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SmartTime
Xianba Xia
Introduction Smarttime is an intelligent trading system, in extremely bad market it can maintain a stable profit. It will automatically identifies at what time the transaction should be done and at what time you can not trade. When some major data release, the system will automatically close the transaction, such as NFP time, ADP data released time, intelligent system at that time will not trade. In other times, such as the European trading time, trading hours of the American segment, SmartTime
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AmazingForex
Xianba Xia
Introduction Amazing Forex (MetaTrader indicator) — is a cyclical oscillator created by calculating the stochastic over stochastic over a MACD line using cycles. The result is the improved version of the oscillator that isn't choppy during the trends and reacts to the changes very fast. It was developed by Doug Schaff, who assumed that the currency trends accelerate and decelerate in cycles. Its algorithm was made public in 2008. Schaff Trend Cycle tries to combine two different methods of deter
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MagicUpDown
Xianba Xia
Magic Up Down (MetaTrader indicator) — will show you where the CCI cross with the zero occur (marking it with the red or blue arrow) to help you decide whether to go short or long. It has a minimal lag and a relatively high accuracy. This simple indicator is a good choice for those traders that prefer to keep it simple and hate complex indicators. The indicator is available in MT4 and MT5 versions. Parameters As you can see, this indicator gives direct signals for buy (blue arrow pointing up)
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Morgan
Xianba Xia
Morgan EA is not an automated trading robot. It has no trading strategy implemented inside. The only purpose of this expert advisor is to execute trades via pending orders based on some chart objects: trend lines, horizontal lines or equidistant channels. In addition to straightforward execution of breakout trades, it is also able to execute a pull-back trade with this EA if you have missed the breakout point for some reason. The main advantage of Morgan is its ability to set and adjust pending
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Rhino
Xianba Xia
Rhino Forex is a very complicated Expert Advisor. It uses many standard MetaTrader 4 indicators (like moving averages and envelopes) to determine the position entry and exit points as well as position parameters. This EA has many input parameters and internally stored data sets for each of the five currency pairs it can be used to trade with. The abundance of the indicators and conditional checks make Rhino EA a little slower for CPU to process. Warning! The latest backtest of this EA on the per
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ThreeKLines
Xianba Xia
Outline A strategy based on K-line shape requires only three K-lines. Grasping opportunities quickly when the market is emotional can not only get into the market as soon as possible, but also make great profits. Understand the market through three K-lines. Parameter Lots: The basic position at the time of placing an order is 0.1 by default. SlipPage: Consider the impact of sliding points in trading，Default 3 base points.
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Third Generation Moving Average For MQL5
Xianba Xia
Description 3rd Generation Moving Average MetaTrader indicator - is an advanced version of the standard moving average (MA), which implements a rather simple lag-reducing procedure based on the longer MA period. The method was first described by M. Duerschner in his article Gleitende Durchschnitte 3.0 (in German). The presented version uses λ = 2, which provides the best possible lag-reducing. Higher λ increases similarity with the classic moving average. The indicator is available for both MT4
100 USD
Xianba Xia
Spike Trader Forex Expert Advisor is based on the idea of spike bars preceding movement in the opposite direction to the spike. This EA was inspired by the trading strategy described in May 2012 issue of  Currency Trader  magazine. The spike is defined as a bar that is higher than previous  BarsNumber  bars, higher than previous bar by  PercentageDifference  and that closed in the lower  ThirdOrHalf  part of its length. For bullish signal, everything is inverted. The position is kept open until
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SuperMacd
Xianba Xia
The Chinese index called MACD trend, belongs to the kind of index, which is composed of five parts including the long-term average MACD, short line DIF, red energy column (bull), green energy column (short), O axis (straddle the line). It uses the short-term moving average DIF and long-term line MACD cross as a signal. The cross signal generated by the MACD index is relatively slow, and it is better to use the corresponding trading strategy. Indicator parameters MaFast - Fast exponential movin
100 USD
BreakoutTrend
Xianba Xia
Breakout Trend Forex expert advisor   trades in the direction of a breakout from a previous eight-hours' range. It uses the Low of the previous eight-hours  as the stop-loss for its buy orders, and it uses High of the previous eight-hours  as the stop-loss level for its sell orders. If the new hours starts within the previous eight-hours' trading range, the EA uses two pending stop orders to implement its strategy. They will expire at the end of the hours if not triggered. If the hours starts o
150 USD
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