outcomesuch

Outcomesuch is a term used in decision analysis, probability theory, and related fields to denote an outcome that satisfies a predefined criterion. The expression functions as a compact label for outcomes that meet a specified condition, rather than for all outcomes in a given space.

Formal definition and usage: Let Ω be the set of possible outcomes and P be a predicate that maps outcomes to true or false. An outcome ω ∈ Ω is called an outcomesuch if P(ω) holds. The predicate P encodes thresholds, success criteria, safety requirements, or policy targets. In practice, outcomesuchs are used to describe the subset of outcomes that are deemed acceptable, desirable, or worth conditioning on in analysis or reporting.

Etymology and style: Outcomesuch appears as a neologism formed from "outcome" and "such," intended to compactly refer to “an outcome such that ….” Its adoption is uneven, and some authors prefer explicit phrasing of the predicate P to avoid ambiguity.

Examples: In a clinical trial, an outcomesuch might be an outcome such that the patient achieves a specified level of remission. In reliability testing, an outcomesuch could be an outcome where the system passes safety and performance criteria. In economics, it could denote outcomes where profit exceeds a target threshold.

Relation to other concepts: An outcomesuch corresponds to a subset of Ω defined by P, analogous to an event in probability, with an associated indicator function Iω that is 1 when P(ω) is true and 0 otherwise.

Criticism and status: The term is not widely standardized and can be ambiguous without an explicit definition of P. When used, it is best to define the predicate clearly to ensure consistent interpretation.