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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, 1978
Studies 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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A Bayes Solution to the Problem of Comparing Tail Probabilities of Normal Populations

Communications in Statistics - Simulation and Computation, 1974
Let X1,X2,…Xp be independent and Xi ∼ N(μ, σ2 i) where the μi are unknown and the σ2 i are known and possibly unequal. This paper presents a Bayes solution, using the multiple comparison technique of Duncan (1965) to the problem of comparing P(Xi < c), i = 1,2,…,p, where c is some specified number.
Stevenson, D. J., Bland, R. P.
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Pocket-Calculator Approximation to the Normal Tail

Probability in the Engineering and Informational Sciences, 1990
This paper proposes a pocket-calculator approximation to the normal tail that is more convenient and more accurate than Hamaker's [1] and Lew's [2] over a wide range, when measured in terms of the number of keystrokes and absolute relative error, respectively.
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Point and interval estimation of normal tail probabilities

Communications in Statistics - Theory and Methods, 1991
This paper is a review of various methods for estimating the normal tail probability P(X > L). Point and interval estimation procedures are considered, in the "classical" and in the Bayesian setting. Graphs and tables are presented to evaluate the performance of the methods described and to facilitate their use for small values of the tail probability ...
I. Gertsbakh, A. Winterbottom
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A comparison of estimators for the proportion in the tail of a normal distribution

Statistical Papers, 1992
Three estimators of the proportion in a tail of the normal distribution are compared using the criteria of mean squared error and mean absolute error. The estimators that we compare are the maximum likelihood estimator, the minimum variance unbiased estimator, and an intuitive estimator that is frequently used in practice.
S. Md-Yusof, S. E. Rigdon
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Inequalities for tail probabilities for the multivariate normal distribution

Communications in Statistics - Theory and Methods, 1976
Inequalities for tail probabilities of the multivariate normal distribution are obtained, as a generalization of those given by Feller (1966). Upper and lower bounds are given in the equi-correlated case. For an arbitrary correlation matrix R, an upper bound is obtained, using a result of Slepian (1962) which asserts that certain multivariate normal ...
William L. Harkness, Ashok V. Godambe
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The proportion of genetic deviates in the tails of a normal population

Der Züchter, 1967
If genetic and environmental effects upon a quantitative phenotype X=G+E are normally and independently distributed then the probability distribution of genetic value G among individuals of fixed phenotypic value X is likewise a normal distribution. The mean of this a posteriori distribution of genetic values is \(\bar g\)+h2 (X−\(\bar g\)) and the ...
D. S. Robson   +2 more
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A formula related to right normal tail integral

Journal of Interdisciplinary Mathematics, 2015
AbstractIn this paper, we present a repeated integral equation related to the right normal tail integral. We give its solution the analytical expression which is the foundation to approximate it.
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TESTING GOODNESS-OF-FIT FOR THE TAIL OF THE NORMAL DISTRIBUTION

2023
Source: Dissertation Abstracts International, Volume: 37-07, Section: B, page: 3500.
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A limit formula and a series expansion for the bivariate Normal tail probability

Statistics and Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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