semivariation

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noun

Variation that only considers certain parts of a function or a stochastic process, typically focusing on only the positive or only the negative changes rather than all changes.

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Meanings

nounsemivariation (plural semivariations)

plural semivariations

  1. mathematicsVariation that only considers certain parts of a function or a stochastic process, typically focusing on only the positive or only the negative changes rather than all changes.

    A semivariation of vector measure μ on a measurable set A is the quantity […]

    1998, Quaestiones Mathematicae: Journal of the South African Mathematical Society, page 62
    2 more examples

    A semivariation may be finite in the case of infinite variation of η, which is defined by the formula […]

    2010, Vladimir Igorevich Bogachev, Differentiable Measures and the Malliavin Calculus, page 195

    These variations and semivariations are essential for integral representations of various processes and their classifications […]

    2021, Yuichiro Kakihara, Hilbert And Banach Space-valued Stochastic Processes, page 57

Origin

From semi- + variation.

Full word history & related roots →
Cite this entry
APA

semivariation. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/semivariation

MLA

“semivariation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/semivariation. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “semivariation,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/semivariation.

Source: semivariation on Wiktionary, CC BY-SA 4.0.