eloszlásra

Eloszlásra is a Hungarian grammatical form derived from the noun eloszlás, meaning distribution. It is created by the suffix -ra/-re and functions as the dative or directional form, used in phrases such as eloszlásra vonatkozó adatok to indicate “to the distribution” or “for the distribution.” In mathematical and statistical contexts, the uninflected noun eloszlás refers to the concept of a distribution itself.

In probability theory, a distribution describes how the probability mass or probability density is allocated over the possible values of a random variable. Distributions can be discrete, with a probability mass function (PMF) defined at individual outcomes, or continuous, with a probability density function (PDF) describing densities over an interval. The cumulative distribution function (CDF) gives the probability that the variable does not exceed a given value. Distributions are parameterized by parameters that control location, scale, and shape.

Common distributions include the normal (Gaussian), Bernoulli, binomial, Poisson, uniform, exponential, gamma, and beta distributions, among others. They are used to model uncertainties, perform statistical inference, and describe data-generating processes across science, engineering, finance, and social sciences. The empirical distribution, derived from observed data, serves as a nonparametric representation and can be compared with theoretical models. Estimation techniques, such as maximum likelihood or method of moments, are employed to fit distributions to data, while goodness-of-fit tests assess model adequacy.