Dictionary

certain event en · NOUN

Meanings

1. An event that contains all of the possible outcomes and thus is known a priori to be certain to occur;
   • Hence the event A#95;1#92;capA#95;2#92;cap#92;dots#92;capA#95;k will be a certain event too, i.e. P(A#95;1#92;capA#95;2#92;cap#92;dots#92;capA#95;k)#61;1. 2002, Andrew G. Bronevich, Alexander N. Karkishchenko, “The structure of fuzzy measure families induced by upper and lower probabilities”, in Carlo Bertoluzza, María Á. Gil, Dan A. Ralescu, editors, Statistical Modeling, Analysis and Management of Fuzzy Data, Springer, page 165:
   • Measure 0 is assigned to an impossible event, and measure 1 is assigned to a certain (sure) event. A certain event is denoted as #92;Omega; an impossible event, as #92;empty. 1995, Michael Pecht, Product Reliability, Maintainability, and Supportability Handbook, CRC Press, page 17:
   • In probability theory, events are sets with a non-negative length that is at most one, since we assume that the sample space #92;Omega is the certain event and should be assigned the largest length, i.e., 1 (probability 100%). 2018, Athanasios Christou Micheas, Theory of Stochastic Objects, Taylor & Francis (CRC Press / Chapman & Hall), unnumbered page:
2. (qualifier:more formally) An event that contains all of the possible outcomes and thus is known a priori to be certain to occur; (more formally) the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1). ▸ the entire sample space (which by definition has measure 1 and probability 1); said sample space with the exclusion of, at most, a set of measure 0 (thus retaining measure 1).

Forms

Coordinates

impossible event

Translations (2)

cmn 必然事件 (event that is certain to occur) · bg сигурно събитие (event that is certain to occur)