<i>Statistical Methods in Experimental Physics</i>

Eadie, W. T.; Kirkpatrick, Larry D.

doi:10.1063/1.3127954

Cited by 369 publications

(471 citation statements)

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“…In this case the reactions (79,83) offer an interesting alternative, since they can proceed via the photon or Z 0 couplings to bileptons, which always remain sizable.…”

Section: High Energy Boundsmentioning

confidence: 99%

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Bileptons: present limits and future prospects

1998

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We define bileptons to be bosons coupling to a pair of leptons and construct the most general dimension four lagrangian involving scalar and vector bileptons. We concentrate on fields with lepton number 2, and derive model independent bounds on their masses and couplings from low-energy data. In addition, we study their signals in high energy experiments and forecast the discovery potential of future colliders.

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“…In this case the reactions (79,83) offer an interesting alternative, since they can proceed via the photon or Z 0 couplings to bileptons, which always remain sizable.…”

Section: High Energy Boundsmentioning

confidence: 99%

“…The asymptotic resolution [83] with which a reaction can set bounds on a given parameter, say the lepton-bilepton coupling λ, is given by the Cramér-Rao limit If the systematic errors are small, this limit is closely approached by a maximum likelihood estimator. Indeed, defining the probability density…”

Section: B the Cramér-rao Limitmentioning

confidence: 99%

Bileptons: present limits and future prospects

1998

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“…In spite of this, comparisons between empirical distributions and statistical models suggest that this number of samples is also large enough. With respect to the goodness of fits, the Kolmogorov-Smirnov test (Benjamin and Cornell, 1970;Eadie et al, 1971) is not restrictive enough to decide about the acceptance or rejection of a statistical model when the number of samples is relatively low. An alternative is given then by the L-skewness-kurtosis diagrams (Hosking and Wallis, 1997), based on the L-moment formulation, which can be easily implemented for theoretical distributions fitting < S >, S M and CS.…”

Section: Databasementioning

confidence: 99%

Long‐term rainfall monthly shortage in Spain: spatial patterns, statistical models and time trends

Martínez

Lana

Burgueño

2009

Intl Journal of Climatology

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Several patterns of the monthly rainfall shortage in Spain are investigated by using long-term series of monthly rain amounts, which were recorded at 34 observatories and compiled by the Agencia Estatal de Meteorología, AEMET (Spanish Ministry of Environment). Owing to the strong variability of the pluviometric regime along the year, the median of the empirical monthly rain amounts is estimated for every month of the year. A monthly shortage is then defined as the difference between the corresponding monthly median and the monthly rain amount. A spell of monthly shortage is a set of consecutive months with amounts below the corresponding monthly medians. Five magnitudes are defined to characterize the rainfall shortage: (1) the spell length, L (months); (2) the average monthly shortage of a spell, (mm); (3) the largest monthly shortage in a spell, S M (mm); (4) the total rainfall shortage for every spell, CS (mm) and (5) the rainfall amount for every shortage spell, CR. The whole number of spells, N, and the number of spells as a function of shortage lengths, N(L), are compared with those deduced from the distribution theory of runs (TR). Instead of a geometric distribution, a Markov chain of first order with two states becomes a better option for the probability density function of L. Although the empirical distributions of < S >, S M and CS are well fitted by a Pearson-type III model for most gauges, the generalized Pareto (GP) distribution is sometimes a better choice. The distribution of CR is well fitted by gamma and especially Poisson-gamma models. Besides these statistical analyses, an interpretation of the rainfall shortage is attempted by looking for links between the distributions of cumulative monthly shortage (CMS), and cumulative number of months (CNM) with rainfall deficit. Both distributions generate normalized shortage curves (NSC), which follow similar laws to the normalized rainfall curves (NRC), used, for instance, in the study of daily rainfall amounts. Finally, statistical significance of local and field time trends of < S >, S M and CS are evaluated.

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“…ǫ j = σ n ′ j . Due to the constraint (4) we applied rms errors of ∆ ′ j , assuming a multinomial distribution of the number of cascades [14]. Actually the multinomial distribution is valid not for the sum of cascades, identified as those induced by nuclei j, but separately for each constituent nucleus i identified as j, and therefore the error depends on the primary mass composition.…”

Section: Determination Of the Primary Mass Compositionmentioning
confidence: 99%

Comparison between methods for the determination of the primary cosmic ray mass composition from the longitudinal profile of atmospheric cascades
Ambrosio
¹
,
Aramo
²
,
Donalek
³

et al. 2005
Astroparticle Physics
8
0
4
0
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Statistical Methods in Experimental Physics

Cited by 369 publications

References 0 publications

Bileptons: present limits and future prospects

Bileptons: present limits and future prospects

Long‐term rainfall monthly shortage in Spain: spatial patterns, statistical models and time trends

Comparison between methods for the determination of the primary cosmic ray mass composition from the longitudinal profile of atmospheric cascades

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