Nuldistributie

Nuldistributie, also known as zero distribution, is a concept in probability theory and statistics that refers to the distribution of a random variable that is always zero. This distribution is trivial and does not provide any variability or randomness. In other words, the random variable takes the value zero with probability one.

The probability density function (PDF) of a nuldistributie is a Dirac delta function centered at zero, which is zero everywhere except at zero, where it is infinite. The cumulative distribution function (CDF) is a step function that jumps from zero to one at zero.

Nuldistributie is often used as a baseline or reference distribution in statistical analysis. It is also used in the context of stochastic processes, where it can represent a state of no change or no activity. However, it is important to note that nuldistributie does not have a mean, variance, or any other moments defined in the traditional sense, as these concepts rely on the variability of the distribution.

In summary, nuldistributie is a simple and straightforward distribution that is always zero. It is used as a reference in statistical analysis and can represent a state of no change or no activity in stochastic processes. However, it does not provide any variability or randomness, and its moments are not defined in the traditional sense.