Few better ways of checking and improving statistical methods exist than having other researchers go over your results, and so I especially appreciate the efforts in Anselin and Cho (2002), hereinafter AC. In this note, I make two main points. First, AC’s numerical findings from its empirical example and simulations contradict no prior research. The article’s one empirical example violates EI’s...

Abstract Let ℤ p {\mathbb{Z}_{p}} denote the ring of all p -adic integers and call

ABSTRACT The clustering of local extrema will be exploited to examine Gaussianity, asymmetry, and the footprint cosmic-string network on CMB observed by Planck. number density (npk for peak ntr trough) sharp clipping (npix) statistics support Gaussianity hypothesis all component separations. However, pixel at threshold reveals a more consistent treatment with respect end-to-end simulations. A v...

We have conducted an optical long-term monitoring survey of the majority of dwarf galaxies in the Local Group, with the Isaac Newton Telescope (INT), to identify the long period variable (LPV) stars. LPV stars vary on timescales of months to years, and reach the largest amplitudes of their brightness variations at optical wavelengths, due to the changing temperature. They trace stellar populati...

Gould, P. 1970. Is Statistix Inferens the Geographical Name for a Wild Goose? Economic Geography 46 (Supp.):439–48. Hänisch, D. 1988. Wahl-und Sozialdaten der Kreise und Gemeinden des Deutschen Reiches, 1920–1933: Benutzer-Handbuch. Berlin: Zentralinstitut für sozialissenschaftliche Forschung, Freie Universität Berlin. Jones, J.P., and Casetti, E., eds. 1992. Applications of the Expansion Metho...

Abstract Let F be a totally real field, and let $E/F$ CM quadratic extension. We construct p -adic L -function attached to Hida families for the group $\mathrm {GL}_{2/F}\times \mathrm {Res}_{E/F}\mathrm {GL}_{1}$ . It is characterized by an exact interpolation property critical Rankin–Selberg -values, at classical points corresponding representations $\pi \boxtimes \chi $ with weights of $\chi...

Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...