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The arithmetic mean or median can be used to determine the measure of the central trend of a time series. Both methods have some disadvantages. The arithmetic mean is calculated by the Simple Moving Average indicator. It is sensitive to emissions and noise. The median behaves more steadily, but there is a loss of information at the boundaries of the interval. In order to reduce these disadvantages, pseudomedian signal filtering can be used. To do this, take the median of a small length and
The arithmetic mean or median can be used to determine the measure of the central trend of a time series. Both methods have some disadvantages. The arithmetic mean is calculated by the Simple Moving Average indicator. It is sensitive to emissions and noise. The median behaves more steadily, but there is a loss of information at the boundaries of the interval. In order to reduce these disadvantages, pseudomedian signal filtering can be used. To do this, take the median of a small length and
The trend allows you to predict the price movement and determine the main directions of the conclusion of transactions. The construction of trend lines is possible using various methods suitable for the trader's trading style. This indicator calculates the parameters of the trend movement based on the von Mises distribution. Using this distribution makes it possible to obtain stable values of the trend equation. In addition to calculating the trend, the levels of possible deviations up and
The trend allows you to predict the price movement and determine the main directions of the conclusion of transactions. The construction of trend lines is possible using various methods suitable for the trader's trading style. This indicator calculates the parameters of the trend movement based on the von Mises distribution. Using this distribution makes it possible to obtain stable values of the trend equation. In addition to calculating the trend, the levels of possible deviations up and
The Cauchy distribution is a classic example of a fattailed distribution. Thick tails indicate that the probability of a random variable deviating from the central trend is very high. So, for a normal distribution, the deviation of a random variable from its mathematical expectation by 3 or more standard deviations is extremely rare (the 3 sigma rule), and for the Cauchy distribution, deviations from the center can be arbitrarily large. This property can be used to simulate price changes in
The Cauchy distribution is a classic example of a fattailed distribution. Thick tails indicate that the probability of a random variable deviating from the central trend is very high. So, for a normal distribution, the deviation of a random variable from its mathematical expectation by 3 or more standard deviations is extremely rare (the 3 sigma rule), and for the Cauchy distribution, deviations from the center can be arbitrarily large. This property can be used to simulate price changes in
When analyzing financial time series, researchers most often make a preliminary assumption that prices are distributed according to the normal (Gaussian) law. This approach is due to the fact that a large number of real processes can be simulated using the normal distribution. Moreover, the calculation of the parameters of this distribution presents no great difficulties. However, when applied to financial markets, normal distribution does not always work. The returns on financial instruments
When analyzing financial time series, researchers most often make a preliminary assumption that prices are distributed according to the normal (Gaussian) law. This approach is due to the fact that a large number of real processes can be simulated using the normal distribution. Moreover, the calculation of the parameters of this distribution presents no great difficulties. However, when applied to financial markets, normal distribution does not always work. The returns on financial instruments
When making trading decisions, it is useful to rely not only on historical data, but also on the current market situation. In order to make it more convenient to monitor current trends in market movement, you can use the AIS Current Price Filter indicator. This indicator takes into account only the most significant price changes in one direction or another. Thanks to this, it is possible to predict shortterm trends in the near future  no matter how the current market situation develops
When making trading decisions, it is useful to rely not only on historical data, but also on the current market situation. In order to make it more convenient to monitor current trends in market movement, you can use the AIS Current Price Filter indicator. This indicator takes into account only the most significant price changes in one direction or another. Thanks to this, it is possible to predict shortterm trends in the near future  no matter how the current market situation
Stable distributions can be used to smooth financial series. Since a fairly deep history can be used to calculate the distribution parameters, such smoothing may in some cases be even more effective than other methods. The figure shows an example of the distribution of the opening prices of the currency pair " EURUSD " on the time frame H1 for ten years (figure 1). Looks fascinating, doesn't it? The main idea behind this indicator is to determine the parameters of a stable distribution based
Stable distributions can be used to smooth financial series. Since a fairly deep history can be used to calculate the distribution parameters, such smoothing may in some cases be even more effective than other methods. The figure shows an example of the distribution of the opening prices of the currency pair " EURUSD " on the time frame H1 for ten years (figure 1). Looks fascinating, doesn't it? The main idea behind this indicator is to determine the parameters of a stable
This indicator allows you to determine the likelihood that the price will reach one or another level. Its algorithm is quite simple and is based on the use of statistical data on the price levels of a particular currency pair. Thanks to the collected historical data, it is possible to determine the extent to which the price will change during the current bar. Despite its simplicity, this indicator can provide invaluable assistance in trading. So, with its help it is possible to determine
This indicator allows you to determine the likelihood that the price will reach one or another level. Its algorithm is quite simple and is based on the use of statistical data on the price levels of a particular currency pair. Thanks to the collected historical data, it is possible to determine the extent to which the price will change during the current bar. Despite its simplicity, this indicator can provide invaluable assistance in trading. So, with its help it is possible to determine
Very often, the trader is faced with the task of determining the extent to which the price may change in the near future. For this purpose, you can use the Johnson distribution type SB. The main advantage of this distribution is that it can be used even with a small amount of accumulated data. The empirical approach used in determining the parameters of this distribution, allows you to accurately determine the maximum and minimum levels of the price channel. These values can be used in
Very often, the trader is faced with the task of determining the extent to which the price may change in the near future. For this purpose, you can use the Johnson distribution type SB. The main advantage of this distribution is that it can be used even with a small amount of accumulated data. The empirical approach used in determining the parameters of this distribution, allows you to accurately determine the maximum and minimum levels of the price channel. These values can be used in
One of the powerful methods of analysis is the modeling of financial series using Levy processes. The main advantage of these processes is that they can be used to model a huge number of phenomena  from the simplest to the most complex. Suffice it to say that the idea of the fractal price movement in the market is only a special case of Levy processes. On the other hand, with proper selection of parameters, any Levy process can be represented as a simple moving average. Figure 1 shows an
One of the powerful methods of analysis is the modeling of financial series using Levy processes. The main advantage of these processes is that they can be used to model a huge number of phenomena  from the simplest to the most complex. Suffice it to say that the idea of the fractal price movement in the market is only a special case of Levy processes. On the other hand, with proper selection of parameters, any Levy process can be represented as a simple moving average. Figure 1 shows an
In order to isolate longterm and nonrandom components, it is necessary to know not only how much the price has changed, but also how these changes occurred. In other words  we are interested not only in the values of price levels, but also in the order in which these levels replace each other. Through this approach, one can find longterm and stable factors that influence (or may influence) the price change at a given point in time. And knowledge of these factors allows you to make a more
In order to isolate longterm and nonrandom components, it is necessary to know not only how much the price has changed, but also how these changes occurred. In other words  we are interested not only in the values of price levels, but also in the order in which these levels replace each other. Through this approach, one can find longterm and stable factors that influence (or may influence) the price change at a given point in time. And knowledge of these factors allows you to make a more