๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotics of a class of pth-order nonlinear autoregressive processes

โœ Scribed by Chanho Lee


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
321 KB
Volume
40
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

โœฆ Synopsis


Criteria are derived for ergodicity and geometric ergodicity of a class of nonlinear pth-order autoregressive processes, which reformulate Tweedie's ones so that they fit our purpose better to improve and extend those results obtained earlier by Chart and Tong, Tjostheim and others. It will be shown that the criteria in this paper are easily applicable to the linear or piecewise linear case so that some of the earlier results are consequences of our main results, and also show that these can be extended to the nonlinear cases as well. (~


๐Ÿ“œ SIMILAR VOLUMES


Asymptotic behaviour of a class of nonli
โœ A. Tiryaki; ลž. Yaman ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 246 KB

This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y" + p(t)y' + q(t)F(y(g(t))) = O. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to eithe

Asymptotic trichotomy for positive solut
โœ Wan Tong Li; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.