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Non-Linearities and Fractional Integration in the US Unemployment Rate AgEcon
Caporale, Guglielmo Maria; Gil-Alana, Luis A..
This paper proposes a model of the US unemployment rate which accounts for both its asymmetry and its long memory. Our approach, based on the tests of Robinson (1994), introduces fractional integration and nonlinearities simultaneously into the same framework (unlike earlier studies employing a sequential procedure), using a Lagrange Multiplier procedure with a standard limit distribution. The empirical results suggest that the US unemployment rate can be specified in terms of a fractionally integrated process, which interacts with some non-linear functions of the labour demand variables (real oil prices and real interest rates). We also find evidence of a long-memory component. Our results are consistent with a hysteresis model with path dependency rather...
Tipo: Working or Discussion Paper Palavras-chave: Unemployment; Asymmetries; Nonlinearities; Fractional Integration; Persistence; Long Memory; Labor and Human Capital; C32; E32.
Ano: 2004 URL: http://purl.umn.edu/26232
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Weak convergence under nonlinearities Anais da ABC (AABC)
MOREIRA,DIEGO R.; TEIXEIRA,EDUARDO V. O..
In this paper, we prove that if a Nemytskii operator maps Lp(omega, E) into Lq(omega, F), for p, q greater than 1, E, F separable Banach spaces and F reflexive, then a sequence that converge weakly and a.e. is sent to a weakly convergent sequence. We give a counterexample proving that if q = 1 and p is greater than 1 we may not have weak sequential continuity of such operator. However, we prove that if p = q = 1, then a weakly convergent sequence that converges a.e. is mapped into a weakly convergent sequence by a Nemytskii operator. We show an application of the weak continuity of the Nemytskii operators by solving a nonlinear functional equation on W1,p(omega), providing the weak continuity of some kind of resolvent operator associated to it and getting...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Weak continuity; Nonlinearities; Nemytskii operator.
Ano: 2003 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100002
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