atsitiktinio

Atsitiktinio is the genitive singular form of the Lithuanian adjective atsitiktinis, which means random or incidental. In usage, atsitiktinis describes events, processes, or selections that are determined by chance rather than by purpose or design. The corresponding noun is atsitiktinumas, referring to randomness or a coincidence, and the feminine and plural forms of the adjective appear in normal inflection as atsitiktinė, atsitiktiniai, etc.

Etymology and grammar: atsitiktinis derives from the verb atsitikti, meaning to happen or occur, with the suffix -inis forming an adjective. The word is closely related to the notion of unpredictability and lack of planned control. The form atsitiktinio is used in phrases where the adjective modifies a masculine noun in the genitive case, for example in expressions like atsitiktinio pobūdžio įvykis or atsitiktinio pasirinkimo metodas.

Usage: In mathematics, statistics and computer science, atsitiktinis is used to describe processes driven by chance. Examples include atsitiktiniai skaičiai (random numbers), atsitiktinis atrankos būdas (random sampling), and atsitiktinių įvykių modeliavimas (modeling of random events). In everyday language, it conveys a sense of coincidence or something happening without deliberate cause, as in atsitiktinis susitikimas.

See also: atsitiktinumas, randomizavimas, tikimybė, statistika, imtis.

Note: atsitiktinio refer to a grammatical form rather than a standalone lexis; it appears in phrases where the concept of randomness or incidental nature is being described.