Probability Density Function

A Probability density function that is statistically self-similar. That is, in different increments of time, the statistical characteristics remain the same.

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Probability Density Function
A graph showing the probability of occurrence of a particular data point (price).

Profit Margin Expansion ...

Probability density function
The function that describes the change of certain realizations for a continuous random variable.

According to the Central Limit Theorem, the probability density function of a large number of independent, identically distributed random numbers will approach the normal distribution.

With clear turning points and a quick response time, the Fisher Transform uses the suggestion that you can develop almost a Gaussian probability density function by normalizing price or an indicator (for example, RSI) and referring the Fisher ...

An empirical probability density function (pdf) of volatility is obtained and compared with the theoretical predictions of a lognormal model and of the Hull and White model.

Fisher Transform assumes that while prices do not have a normal or Gaussian probability density function (the "bell-shaped curve"), ...

N'(x) which denotes the standard normal probability density function,
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[edit] The Black-Scholes equation
Simulated Geometric Brownian Motions with Parameters from Market Data ...

Density Function For any measure m , a function that gives rise to m when integrated with respect to some other specified measure. A probability density function is a function whose integral over any set gives the probability that a random ...

It is based on the assumption that prices do not have a Gaussian probability density function (PDF) (bell-shaped curve movement), but that by normalizing price and applying the Fisher Transform you could create a nearly Gaussian PDF.

Ehlers' Fisher Transform was designed to clearly define major price reversals with its rapid response time and sharp, distinct turning points. It is based on the assumption that prices do not have a Gaussian probability density function (PDF) ...

kurtosis can be adjusted while their lower-order moments and cumulants remain constant. Consider the Pearson type VII family, which is a special case of the Pearson type IV family restricted to symmetric densities. The probability density function is ...

See also: Density Function, Trading, Analysis, Curve, Market