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Generalized normal distribution law of errors

Metrologia, 2002
This paper describes a more precise method for statistical treatment of results of repeated measurements, based on the generalized normal distribution law of random errors. The paper also presents physical grounds for the adequacy of this distribution in the application to random errors of measurements.
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Normal Depth in Power-Law Channels

Journal of Hydrologic Engineering, 2015
AbstractA power-law cross section is very versatile and can be used for a number of practical applications. It allows the modeling of natural rivers (channels) and artificial channels. Normal depth is of high practical importance. This depth is used for computing water surface profiles and for the design, operation, and maintenance of open channels. No
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Inequalities Related to the Normal Law

1978
In the important case of a symmetric distribution, it is shown that the familiar approximation leading to the normal law is actually an estimate from above. A more elementary inequality is presented first; this is much easier to prove than the final result, but it leads, nevertheless, to the solution of a nontrivial maximizing problem.
Alexander M. Ostrowski   +1 more
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Tests for normality in stable laws

Communications in Statistics - Theory and Methods, 1981
A question of considerable interest is whether a stable distribution is Gaussian or has infinite variance. Three statistics, the kurtosis, the ratio of one half the range to the sample stan-dard deviation, and a regression-type estimator of the characteristic exponent α are compared in a Monte Carlo power study. In addition, the asymptotic distribution
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Adrain’s Work on the Normal Law

1999
Before resuming our discussion of Gauss’s work in Chapter 8, we must examine the contemporaneous work on the normal law of errors by Robert Adrain. This work was first published in 1809 but was lost to the literature until rediscovered and republished by Abbe (1871) and Merriman (1877b).
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Rate of convergence of quasistable laws to the normal law

Journal of Soviet Mathematics, 1988
Translation from Probl. Ustojch. Stokhasticheskikh Modelej 1985, 152-160 (Russian) (1985; Zbl 0613.60009).
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Attenuation law of normal disk galaxies

AIP Conference Proceedings, 2005
The attenuation law through the clumpy interstellar medium (ISM) in disk galaxies is investigated. I adopted the mega‐grain approximation, in which dusty clumps are regarded as very large particles (i.e. mega‐grains), to treat the ISM clumpiness in a 1‐D plane‐parallel radiative transfer with multiple anisotropic scatterings.
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Radiation therapy‐associated toxicity: Etiology, management, and prevention

Ca-A Cancer Journal for Clinicians, 2021
Kyle Wang
exaly  

Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review

Ca-A Cancer Journal for Clinicians, 2022
Deborah C Marshall, Mas   +2 more
exaly  

New normalizing laws

Measurement Techniques, 1971
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