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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

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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

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

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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

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. [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

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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

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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.

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

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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.

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Abstract  

Radon can accumulate in underground areas such as show caves. Repairmen and tourist guides working in such caves may thus be exposed to significant radiation doses. Therefore, it is necessary to measure the radon concentration to estimate the exact radiation dose caused by radon. Considering that the radon concentration in caves usually shows significant seasonal fluctuations, the monthly change of radon concentration was studied for 1 year in nine show caves opened to the public in Hungary. Despite the fact that all of the caves were formed in karst rocks, the annual average radon concentration levels were rather different between each other (541–8287 Bq m−3). The significant monthly fluctuation of the radon concentration indicates that the annual average radon concentration in caves can only be accurately obtained by year-long measurements.

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