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The Statistician, 1982
It is very useful to have simple approximations to the cumulative normal distribution. About every statistician carries a pocket calculator, but how many of us carry a book of tables everywhere we go? When working 'with a desk-top microcomputer it would be inefficient to have to stop to look up tables frequently.
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It is very useful to have simple approximations to the cumulative normal distribution. About every statistician carries a pocket calculator, but how many of us carry a book of tables everywhere we go? When working 'with a desk-top microcomputer it would be inefficient to have to stop to look up tables frequently.
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Estimating normal tail probabilities
Naval Research Logistics Quarterly, 1986AbstractThe estimation problem of normal tail probabilities is considered. The form of generalized Bayes estimators is derived and the asymptotic behavior of the mean square errors is studied. This study shows that the best unbiased estimator, a formula for which is given, is superior to the maximum likelihoood estimator or to a class of generalized ...
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Principle of Normal Tail Approximation
Journal of the Engineering Mechanics Division, 1981A difficult problem in general multivariable structural reliability problems of limit state type is to calculate the probability content of the failure set. Very often, however, practical problems have such nice properties that the failure probability may be assessed in a sample way and with sufficient accuracy solely by use of hyperplane ...
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Uniqueness of the Normal Consolidation Line for Gold Tailings
Geotechnical Testing Journal, 2023ABSTRACT Depending on the stress state, mine tailings are generally accepted to be susceptible to static liquefaction. A common method to assess the in situ stress state of tailings in relation to static liquefaction susceptibility involves the use of the state parameter.
Yashay Narainsamy +3 more
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A normal approximation for beta and gamma tail probabilities
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1984Normal approximations are developed for the beta- and related distributions, using an approach similar to that of Peizer and Pratt (1968). No series expansions are involved, and the few elementary functions required can be easily computed on pocket calculators.
Alfers, D., Dinges, H.
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Radionecrosis of Normal Tissue: Studies on Mouse Tails
International Journal of Radiation Biology and Related Studies in Physics, Chemistry and Medicine, 1978Studies on the radionecrosis of mouse tails demonstrate the following modifications to the dose necessary for necrosis in 50 per cent of tails (the ND50): (a) There is very little reduction in ND50 values for irradiated lengths of tail from 2 cm to almost the whole tail, but there is a sharp increase in dose for lengths less than 1.5 cm.
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Estimation of distribution tails for normalized and self-normalized sums
Journal of Mathematical Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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