Jaotussaamadest

Jaotussaamadest is an Estonian statistical term used to describe a situation where multiple data samples originate from the same probability distribution. The term combines jaotus (distribution, allocation), sama (same), and a suffix form indicating origin, and it is encountered mainly in Estonian-language texts on sampling and experimental design.

Definition and concept

Formally, a set of random variables X1, X2, ..., Xn are said to be jaotussaamadest if each Xi has the same distribution as every other Xj (Xi ~ Xj for all i, j). The concept specifies identical distributions across samples, but it does not by itself imply independence between the samples; dependence structures may still exist and must be considered in analysis.

Usage and context

In practice, jaotussaamadest is used to describe data-generating processes and sampling procedures that aim to produce comparable data across groups or conditions. It underpins design choices in experiments, survey methods, and simulation studies where ensuring a common distribution across samples helps isolate effects of interest. The idea is closely related to the broader statistical notion of identically distributed samples and is often invoked in discussions of cross-validation, bootstrapping, and comparative modelling where consistent data-generating assumptions are essential.

Limitations

The term appears primarily in Estonian-language materials, and explicit English-language translations or standardized formalizations may vary. Analysts should carefully distinguish jaotussaamadest from independence or from identical sampling without distributional guarantees.

See also

Identically distributed random variables, distribution (probability), sampling, cross-validation, bootstrapping.