In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...

A random variable is one whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be discrete or continuous.

The alias method of Walker is a clever, new, fast method for generating random variables from an arbitrary, specified discrete distribution. A simple probabilistic proof is given, in terms of mixtures ...

You can apply this with various calculation tools. Create a Probability Density Function (PDF) of your desired random distribution by calculating a function or entering the data f (x).

A probability distribution, usually displayed graphically, shows the relative likelihood of all possible outcomes occurring within a specific time period.

Instead, they obey a predefined, arbitrary distribution. This example of an arbitrary probability distribution function (PDF) expresses the occurrence probability of 10 values (Fig. 1).

You can use the RAND () function to establish probability and create a random variable with normal distribution.