Search Results

You are looking at 1 - 10 of 4,292 items for :

  • All content x
Clear All

Introduction Previous studies focusing on averages are mainly about the conceptualization of mean, median, and mode (e.g.,  Groth & Bergner, 2006 ; Leavy, 2010 ; Watson & Moritz, 2000 ), mean and median (e.g.,  Jacobbe, 2012

Open access

it is definitely one that permits accuracy: to compare the average impact value of national scientific production when standardized by scientific field. The authors wish to immediately emphasize that the comparison deals only with average impact of

Restricted access

The role of symmetry in attraction to average faces Perception and Psychophysics 69 8 1273 1277 . B. C

Restricted access

Móricz, F. , On the harmonic averages of numerical sequences, Arch. Math. (Basel), 86 (2006), 375–384. Móricz F. On the harmonic averages of numerical sequences

Restricted access

. [26] H ann , K. , The average number of normals through a point in a convex body and a related Euler-type identity , Geom. Dedicata , 48 ( 1993 ), 27 – 55

Restricted access

Abstract  

The characteristic scores and scales (CSS), introduced by Glänzel and Schubert (J Inform Sci 14:123–127, <cite>1988</cite>) and further studied in subsequent papers of Glänzel, can be calculated exactly in a Lotkaian framework. We prove that these CSS are simple exponents of the average number of items per source in general IPPs. The proofs are given using size-frequency functions as well as using rank-frequency functions. We note that CSS do not necessarily have to be defined as averages but that medians can be used as well. Also for these CSS we present exact formulae in the Lotkaian framework and both types of CSS are compared. We also link these formulae with the h-index.

Restricted access

BERKES, I. and HORVÁTH, L., almost sure invariance principles for logarithmic averages, Studia Sci. Math. Hungar. 33 (1997), 1-24. MR 98f :60054 Almost sure invariance principles for

Restricted access

Abstract  

Let S be a countable semigroup acting in a measure-preserving fashion (gT g) on a measure space (Ω, A, µ). For a finite subset A of S, let |A| denote its cardinality. Let (A k)k=1 be a sequence of subsets of S satisfying conditions related to those in the ergodic theorem for semi-group actions of A. A. Tempelman. For A-measureable functions f on the measure space (Ω, A, μ) we form for k ≥ 1 the Templeman averages

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\pi _k (f)(x) = \left| {A_k } \right|^{ - 1} \sum\nolimits_{g \in A_k } {T_g f(x)}$$ \end{document}
and set V q f(x) = (Σk≥1|π k+1(f)(x) − π k(f)(x)|q)1/q when q ∈ (1, 2]. We show that there exists C > 0 such that for all f in L 1(Ω, A, µ) we have µ({x ∈ Ω: V q f(x) > λ}) ≤ C(∫Ω | f | dµ/λ). Finally, some concrete examples are constructed.

Restricted access

logarithmic averages, Math. Proc. Cambridge Philos. Soc. 112 (1992), 195-205. MR 93e :60057 Invariance principles for logarithmic averages Math. Proc. Cambridge Philos. Soc

Restricted access

The properties of weighted averages as linear estimators of a regression function and its derivatives are investigated for the fixed design case. Results on weak consistency and on universal consistency are derived, using a modification of the definition of Stone [10]. As examples we consider kernel estimates and weighted local regression estimators and show that the general results apply.

Restricted access