Probability Distribution HistogramProbability Distribution Histogram
During data exploration it is often useful to plot the distribution of the data one is exploring. This indicator plots the distribution of data between different bins.
Essentially, what we do is we look at the min and max of the entire data set to determine its range. When we have the range of the data, we decide how many bins we want to divide this range into, so that the more bins we get, the smaller the range (a.k.a. width) for each bin becomes. We then place each data point in its corresponding bin, to see how many of the data points end up in each bin. For instance, if we have a data set where the smallest number is 5 and the biggest number is 105, we get a range of 100. If we then decide on 20 bins, each bin will have a width of 5. So the left-most bin would therefore correspond to values between 5 and 10, and the bin to the right would correspond to values between 10 and 15, and so on.
Once we have distributed all the data points into their corresponding bins, we compare the count in each bin to the total number of data points, to get a percentage of the total for each bin. So if we have 100 data points, and the left-most bin has 2 data points in it, that would equal 2%. This is also known as probability mass (or well, an approximation of it at least, since we're dealing with a bin, and not an exact number).
Usage
This is not an indicator that will give you any trading signals. This indicator is made to help you examine data. It can take any input you give it and plot how that data is distributed.
The indicator can transform the data in a few ways to help you get the most out of your data exploration. For instance, it is usually more accurate to use logarithmic data than raw data, so there is an option to transform the data using the natural logarithmic function. There is also an option to transform the data into %-Change form or by using data differencing.
Another option that the indicator has is the ability to trim data from the data set before plotting the distribution. This can help if you know there are outliers that are made up of corrupted data or data that is not relevant to your research.
I also included the option to plot the normal distribution as well, for comparison. This can be useful when the data is made up of residuals from a prediction model, to see if the residuals seem to be normally distributed or not.

# Mass

Particle Physics Moving AverageThis indicator simulates the physics of a particle attracted by a distance-dependent force towards the evolving value of the series it's applied to.
Its parameters include:
The mass of the particle
The exponent of the force function f=d^x
A "medium damping factor" (viscosity of the universe)
Compression/extension damping factors (for simulating spring-damping functions)
This implementation also adds a second set of all of these parameters, and tracks 16 particles evenly interpolated between the two sets.
It's a kind of Swiss Army Knife of Moving Average-type functions; For instance, because the position and velocity of the particle include a "historical knowlege" of the series, it turns out that the Exponential Moving Average function simply "falls out" of the algorithm in certain configurations; instead of being configured by defining a period of samples over which to calculate an Exponential Moving Average, in this derivation, it is tuned by changing the mass and/or medium damping parameters.
But the algorithm can do much more than simply replicate an EMA... A particle acted on by a force that is a linear function of distance (force exponent=1) simulates the physics of a sprung-mass system, with a mass-dependent resonant frequency. By altering the particle mass and damping parameters, you can simulate something like an automobile suspension, letting your particle track a stock's price like a Cadillac or a Corvette (or both, including intermediates) depending on your setup. Particles will have a natural resonance with a frequency that depends on its mass... A higher mass particle (i.e. higher inertia) will resonate at a lower frequency than one with a lower mass (and of course, in this indicator, you can display particles that interpolate through a range of masses.)
The real beauty of this general-purpose algorithm is that the force function can be extended with other components, affecting the trajectory of the particle; For instance "volume" could be factored into the current distance-based force function, strengthening or weakening the impulse accordingly. (I'll probably provide updates to the script that incoroprate different ideas I come up with.)
As currently pictured above, the indicator is interpolating between a medium-damped EMA-like configuration (red) and a more extension-damped suspension-like configuration (blue).
This indicator is merely a tool that provides a space to explore such a simulation, to let you see how tweaking parameters affects the simulations. It doesn't provide buy or sell signals, although you might find that it could be adapted into an MACD-like signal generator... But you're on your own for that.

Combo Backtest 123 Reversal & MASS Index This is combo strategies for get a cumulative signal.
First strategy
This System was created from the Book "How I Tripled My Money In The
Futures Market" by Ulf Jensen, Page 183. This is reverse type of strategies.
The strategy buys at market, if close price is higher than the previous close
during 2 days and the meaning of 9-days Stochastic Slow Oscillator is lower than 50.
The strategy sells at market, if close price is lower than the previous close price
during 2 days and the meaning of 9-days Stochastic Fast Oscillator is higher than 50.
Second strategy
The Mass Index was designed to identify trend reversals by measuring
the narrowing and widening of the range between the high and low prices.
As this range widens, the Mass Index increases; as the range narrows
the Mass Index decreases.
The Mass Index was developed by Donald Dorsey.
WARNING:
- For purpose educate only
- This script to change bars colors.

Mass Thrust OscillatorThis is a custom indicator that turns my Mass Thrust Indicator into an oscillator which is loosely based on Tushar S. Chande's Market Thrust Oscillator (Stocks & Commodities V. 10:8 (347-350))
Let me know if you would like a custom script or if you want to see me publish any other indicators!

Mass Thrust IndicatorThis is a custom indicator of mine that I based loosely on Tushar S. Chande's Market Thrust Indicator (Stocks & Commodities V. 10:8 (347-350)). Buy the stock if the indicator is green and sell when it turns red.
Let me know if you would like to see more scripts or if you have custom requests!

Mass IndexThis indicator was originally developed by Donald Dorsey (Stocks & Commodities, V.10:6 (June, 1992): "The Mass Index").
Specially for @AlexMayorov :
If indicator reaches 27 and then falls to below 26.5 then it could be a signal of potential trend reversal.

MASS Index Backtest The Mass Index was designed to identify trend reversals by measuring
the narrowing and widening of the range between the high and low prices.
As this range widens, the Mass Index increases; as the range narrows
the Mass Index decreases.
The Mass Index was developed by Donald Dorsey.
You can change long to short in the Input Settings
WARNING:
- For purpose educate only
- This script to change bars colors.

MASS Index Strategy The Mass Index was designed to identify trend reversals by measuring
the narrowing and widening of the range between the high and low prices.
As this range widens, the Mass Index increases; as the range narrows
the Mass Index decreases.
The Mass Index was developed by Donald Dorsey.
WARNING:
This script to change bars colors.

MASS Index The Mass Index was designed to identify trend reversals by measuring
the narrowing and widening of the range between the high and low prices.
As this range widens, the Mass Index increases; as the range narrows
the Mass Index decreases.
The Mass Index was developed by Donald Dorsey.