A polynomial expansion to probability density function (pdf) approximation about Gaussian mixture densities is proposed in this paper. Using known polynomial series expansions we apply the Parzen ...

Probability Density Function Calculating probabilities for continuous random variables requires a different approach from the methods used with discrete variables. If all the outcomes of a continuous ...

ConventionaL load forecasting involves the prediction of the mean value of the demand of an electric power system. The mean value of a quantity which is subject to uncertainty does not fully ...

The focus is on the scale and shape factors, which are evaluated by mapping monthly mean wind speeds into a Weibull probability distribution function. Due to the imprecise nature of these factors, ...

This function defines the probability density over the unit square, where ( X ) and ( Y ) both range from 0 to 1. Applications of joint probability distributions ...

Probability distributions can also be used to create cumulative distribution functions (CDFs) that add up the probability of occurrences cumulatively. They always start at zero and end at 100%. 1 ...

In this study, we systematically investigated the changes in drought frequency in 2070–2099 relative to 1970–1999, due to the mean and shape changes of the probability density function (PDF) of the ...

Probability Density vs. Cumulative Distribution The other distinction is between the probability density function (PDF) and the cumulative distribution function.