Arch - meaning and definition. What is Arch
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What (who) is Arch - definition

TIME SERIES MODEL
Autoregressive Conditional Heteroskedasticity; ARCH models; GARCH; Autoregressive conditional heteroscedasticity; ARCH; IGARCH; EGARCH; Ngarch; Garch model; ARCH model; GARCH model; Generalized autoregressive conditional heteroscedasticity; Generalized autoregressive conditional heteroskedasticity

arch         
  • [[Horseshoe arch]]es in the 9th-century [[Mosque of Uqba]], in [[Kairouan]], Tunisia
  • Deformed arch at the [[Gozo Aqueduct]], Malta
  • Semi-circular arches using [[brick]] and/or [[stone]] block construction at the [[Great Wall]], China
  • ribs]] at the intersection of several arches
  • A series of parabolic arches on the [[Móra d'Ebre]] bridge, [[Catalonia]], Spain (2005)
  • arcade]], employing the circular arch
  • Arch of Caracalla]], a Roman triumphal arch in [[Tébessa]], Algeria (2016)
  • hinge]] at mid-span of this three-hinged arch.
  • [[Cathedral of St. Michael and St. Gudula]] in [[Brussels]], [[Belgium]], with a central [[pointed arch]] window, typical of [[Gothic architecture]]
  • [[Tyne Bridge]] in [[Newcastle upon Tyne]], [[England]]: a parabolic arch
VERTICAL CURVED STRUCTURE THAT SPANS A SPACE AND MAY OR MAY NOT SUPPORT A LOAD
Arched; Three-centred arch; Arching; Coussinet; Intrados; Key stone; Arcuated; Compression arch; Round arch; Arches; Types of arches; Depressed arch; Inflexed arch; Three-pinned arch; Three-hinged arch; Arch structure; Three-centered arch
(arches, arching, arched)
1.
An arch is a structure that is curved at the top and is supported on either side by a pillar, post, or wall.
N-COUNT
2.
An arch is a curved line or movement.
= arc
N-COUNT
3.
The arch of your foot is the curved section at the bottom in the middle.
N-COUNT
4.
If you arch a part of your body such as your back or if it arches, you bend it so that it forms a curve.
Don't arch your back, keep your spine straight.
VERB: V n, also V
5.
If you arch your eyebrows or if they arch, you move them upwards as a way of showing surprise or disapproval. (LITERARY)
'Oh really?' he said, arching an eyebrow.
= raise
VERB: V n, also V
6.
see also arched
arch         
  • [[Horseshoe arch]]es in the 9th-century [[Mosque of Uqba]], in [[Kairouan]], Tunisia
  • Deformed arch at the [[Gozo Aqueduct]], Malta
  • Semi-circular arches using [[brick]] and/or [[stone]] block construction at the [[Great Wall]], China
  • ribs]] at the intersection of several arches
  • A series of parabolic arches on the [[Móra d'Ebre]] bridge, [[Catalonia]], Spain (2005)
  • arcade]], employing the circular arch
  • Arch of Caracalla]], a Roman triumphal arch in [[Tébessa]], Algeria (2016)
  • hinge]] at mid-span of this three-hinged arch.
  • [[Cathedral of St. Michael and St. Gudula]] in [[Brussels]], [[Belgium]], with a central [[pointed arch]] window, typical of [[Gothic architecture]]
  • [[Tyne Bridge]] in [[Newcastle upon Tyne]], [[England]]: a parabolic arch
VERTICAL CURVED STRUCTURE THAT SPANS A SPACE AND MAY OR MAY NOT SUPPORT A LOAD
Arched; Three-centred arch; Arching; Coussinet; Intrados; Key stone; Arcuated; Compression arch; Round arch; Arches; Types of arches; Depressed arch; Inflexed arch; Three-pinned arch; Three-hinged arch; Arch structure; Three-centered arch
arch1
¦ noun
1. a curved symmetrical structure spanning an opening and supporting the weight of a bridge, roof, or wall.
an arch-shaped curve.
2. the inner side of the foot.
¦ verb form or cause to form an arch.
Derivatives
arched adjective
Origin
ME: from OFr. arche, based on L. arcus 'bow'.
--------
arch2
¦ adjective self-consciously playful or teasing.
Derivatives
archly adverb
archness noun
Origin
C17: from arch-, by assoc. with the sense 'rogue' in combinations such as arch-scoundrel.
Arch         
  • [[Horseshoe arch]]es in the 9th-century [[Mosque of Uqba]], in [[Kairouan]], Tunisia
  • Deformed arch at the [[Gozo Aqueduct]], Malta
  • Semi-circular arches using [[brick]] and/or [[stone]] block construction at the [[Great Wall]], China
  • ribs]] at the intersection of several arches
  • A series of parabolic arches on the [[Móra d'Ebre]] bridge, [[Catalonia]], Spain (2005)
  • arcade]], employing the circular arch
  • Arch of Caracalla]], a Roman triumphal arch in [[Tébessa]], Algeria (2016)
  • hinge]] at mid-span of this three-hinged arch.
  • [[Cathedral of St. Michael and St. Gudula]] in [[Brussels]], [[Belgium]], with a central [[pointed arch]] window, typical of [[Gothic architecture]]
  • [[Tyne Bridge]] in [[Newcastle upon Tyne]], [[England]]: a parabolic arch
VERTICAL CURVED STRUCTURE THAT SPANS A SPACE AND MAY OR MAY NOT SUPPORT A LOAD
Arched; Three-centred arch; Arching; Coussinet; Intrados; Key stone; Arcuated; Compression arch; Round arch; Arches; Types of arches; Depressed arch; Inflexed arch; Three-pinned arch; Three-hinged arch; Arch structure; Three-centered arch
·noun Any part of a curved line.
II. Arch ·noun A Chief.
III. Arch ·vt To cover with an arch or arches.
IV. Arch ·adj Chief; eminent; greatest; principal.
V. Arch ·vt To form or bend into the shape of an arch.
VI. Arch ·vi To form into an arch; to Curve.
VII. Arch ·noun Any curvature in the form of an arch; as, the arch of the aorta.
VIII. Arch ·adj Cunning or sly; sportively mischievous; roguish; as, an arch look, word, lad.
IX. Arch ·noun Any place covered by an arch; an archway; as, to pass into the arch of a bridge.
X. Arch ·noun A flat arch is a member constructed of stones cut into wedges or other shapes so as to support each other without rising in a curve.
XI. Arch ·noun Usually a curved member made up of separate wedge-shaped solids, with the joints between them disposed in the direction of the radii of the curve; used to support the wall or other weight above an opening. In this sense arches are segmental, round (·i.e., semicircular), or pointed.

Wikipedia

Autoregressive conditional heteroskedasticity

In econometrics, the autoregressive conditional heteroskedasticity (ARCH) model is a statistical model for time series data that describes the variance of the current error term or innovation as a function of the actual sizes of the previous time periods' error terms; often the variance is related to the squares of the previous innovations. The ARCH model is appropriate when the error variance in a time series follows an autoregressive (AR) model; if an autoregressive moving average (ARMA) model is assumed for the error variance, the model is a generalized autoregressive conditional heteroskedasticity (GARCH) model.

ARCH models are commonly employed in modeling financial time series that exhibit time-varying volatility and volatility clustering, i.e. periods of swings interspersed with periods of relative calm. ARCH-type models are sometimes considered to be in the family of stochastic volatility models, although this is strictly incorrect since at time t the volatility is completely pre-determined (deterministic) given previous values.

Examples of use of Arch
1. "Geoff made the transition from arch–Blairite to arch–Brownite rather too smoothly," said one.
2. Lupu bridge, Shanghai With a main arch span of 550m, the Lupu bridge is the world‘s longest steel–arch bridge.
3. Arch–rival Partner Communications sank 0.4 percent.
4. Henderson said it was the first collapse of a major arch in the park in 17 years, since nearby Landscape Arch fell.
5. Arch Macy, commander of the Naval Surface Warfare Center.