New methods for the analysis of long memory time series: application to Spanish inflation

Models for long-memory time series are considered, in which the autocovariance sequence is only parameterized at very long lags, or the spectral density is only parametized at very low frequencies. Various recently proposed methods for estimating the differencing parameters are reviewed, and applied to an economic time series of prices in Spain

Optimal spectral bandwidth for long memory

For long range dependent time series with a spectral singularity at frequency zero, a theory for optimal bandwidth choice in non-parametric analysis ofthe singularity was developed by Robinson (1991b). The optimal bandwidths are described and compared with those in case of analysis of a smooth spectrum. They are also analysed in case of fractional ARIMA models and calculated as a function of the self similarity parameter in some special cases. Feasible data dependent approximations to the optimal bandwidth are discussed

Perceptions of Shared Power, Gender Conformity, and Marital Quality in Same- and Different-Sex Marriages

Marriage is a key institutional context for the study of gender and gender inequality. One way in which gender inequality is maintained in marriage is through gender norms, which are often upheld by hegemonic masculinity—the pattern of practices that legitimize men’s dominance over women. While studies have focused on how gender conformity (i.e., women embody femininity and men embody masculinity) affects different-sex unions, they have not considered how gender conformity might shape inequalities and marital quality within same-sex unions. Marriage is a key institutional context for the study of gender and gender inequality. This research brief, led by PRC postdoctoral fellow Amanda Pollitt, examines the relationships between gender conformity (i.e., women embody femininity and men embody masculinity), perceptions of shared power, and marital quality in same- and different-sex marriages.This research was supported, in part, by Grant R21AG044585 from the National Institute on Aging (PI, Debra Umberson); Grant P2CHD042849 awarded to the Population Research Center at The University of Texas at Austin by the Eunice Kennedy Shriver National Institute of Child Health and Human Development (NICHD); and Grant T32 HD007081, Training Program in Population Studies, awarded to the Population Research Center at The University of Texas at Austin by NICHD.Population Research Cente

Counting fixed points and rooted closed walks of the singular map x↦xxnx \mapsto x^{x^n} modulo powers of a prime

The "self-power" map $x \mapsto x^x$ modulo $m$ and its generalized form $x \mapsto x^{x^n}$ modulo $m$ are of considerable interest for both theoretical reasons and for potential applications to cryptography. In this paper, we use $p$-adic methods, primarily $p$-adic interpolation, Hensel's lemma, and lifting singular points modulo $p$, to count fixed points and rooted closed walks of equations related to these maps when $m$ is a prime power. In particular, we introduce a new technique for lifting singular solutions of several congruences in several unknowns using the left kernel of the Jacobian matrix.Comment: 18 pages. Version 2 shortens proofs, reduces redundancy, and introduces new technique for counting rooted closed walks. Version 3 updates title to agree with journal publicatio

Polynomial Cointegration among Stationary Processes with Long Memory

n this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we consider a form of spectral regression around frequency zero. For these estimates, we establish consistency by means of a more general result on continuously averaged estimates of the spectral density matrix at frequency zeroComment: 25 pages, 7 figures. Submitted in August 200

On the structure of subsets of an orderable group with some small doubling properties

The aim of this paper is to present a complete description of the structure of subsets S of an orderable group G satisfying |S^2| = 3|S|-2 and is non-abelian