Where does realization collide?

In probability and statistics, a realization is a particular observed value that a random variable or process actually takes on one occasion, the concrete outcome drawn from the distribution of all possible values, as opposed to the random variable itself. Casella and Berger's Statistical inference relies on this distinction between a random variable and its realized value throughout estimation and inference. The referent is a single instantiated outcome of a random mechanism, the data point in hand, and it is a different construct from a gain realized on a sale or a phoneme's spoken form, sharing only the word.[1]

Unit

A single observed value taken by a random variable or process

Recovery means

Not applicable

Measured by

Recorded as the observed value(s) of the random variable, the data used for inference

In accounting and tax, realization is the point at which a gain or loss becomes recognisable because an earnings process is essentially complete and an exchange has occurred (classically, when an asset is sold for cash or a claim to cash), so that a mere rise in an asset's value is not income until it is realized. Kieso, Weygandt, and Warfield's Intermediate accounting ties the realization principle to revenue recognition and the timing of income. The referent is the triggering event that converts a paper change in value into recognised gain or loss, measured in currency at the transaction, and it is unrelated to a statistical outcome or a sound's pronunciation.[2]

Unit

The transaction event that converts an unrealized value change into recognised gain or loss

Recovery means

Not applicable

Measured by

Established by the completion of an earnings process and an exchange (sale or conversion to a claim on cash)

In linguistics, realization is the way an abstract unit is given concrete form in speech, most clearly in phonology, where a single phoneme is realized as different physical sounds (allophones) depending on its context. Ladefoged and Johnson's A course in phonetics describes how one underlying sound maps to its varying spoken realizations. The referent is the mapping from an abstract linguistic unit to its concrete instantiation in speech, assessed by the phonetic variants that occur in context, and it shares only the word with a realized financial gain or an observed random outcome.[3]

Unit

The concrete phonetic form an abstract linguistic unit takes in a given context

Recovery means

Not applicable

Measured by

Described by the allophones (or surface forms) that an underlying unit takes across phonetic contexts