Journal ArticleDOI
A Survey of Coverage Problems Associated with Point and Area Targets
TLDR
In this article, the authors focus on calculating the probability that a point target is destroyed by one or more weapons in a salvo, where the target, has an extended area, and the probability of destruction is replaced by the expected fraction of the target destroyed.Abstract:
At first glance the subject-matter of this paper may appear to be rather trivial. No questions of offense or defense strategies are involved; one is interested solely in calculating the probability that a point target is destroyed by one or more weapons in a salvo. If the target, has an extended area, the probability of destruction is replaced by the expected fraction of the target destroyed. One might reasonably conclude that a few simple mathematical arguments involving independent random events are all that is required. However, appearances are deceptive. Since the second world war a large number of authors have dealt with problems of this type and the results of their researches are widely scattered through the mathematical literature under the general name of coverage problems. A few answers can be obtained in closed form, but the majority run into diffkulties which can be overcome only by numerical integration or simulation. This paper attempts to classify these researches into a more-or-less logica...read more
Citations
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Journal ArticleDOI
Handbook of Statistical Tables.
D. G. Beech,D. B. Owen +1 more
TL;DR: The Handbook of Statistical Tables (HNT) as mentioned in this paper is a collection of tables from B.D. Owen's "Handbook of Statistical Table Tables" (1962).
Journal ArticleDOI
A Gaussian Approximation to the Distribution of a Definite Quadratic Form
D. R. Jensen,Herbert Solomon +1 more
TL;DR: In this paper, a new Gaussian approximation to the noncentral chi-square (x2) distribution is found for which the coefficient of skewness is smaller than a cube root transformation in the literature.
Journal ArticleDOI
The busy period of the queueing system M / G /∞
TL;DR: For the queueing system M/G/oo some distributions connected with the associated busy periods are derived as discussed by the authors, where the distribution is based on the distribution of queues with unrestricted service.
Journal ArticleDOI
Testing statistical hypotheses based on the density power divergence
TL;DR: In this article, the authors developed tests of hypotheses based on the family of density power divergences and showed that the alternative test statistics proposed herein have asymptotic limits which are described by linear combinations of Chi-square statistics.
Journal ArticleDOI
Quadratic forms in spherical random variables: Generalized noncentral x2 distribution
T. Cacoullos,Markos V. Koutras +1 more
TL;DR: In this article, the density of U = X'X, called a generalized chi-square, is derived for the noncentral case, when μ = E(X) ≠ 0.
References
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Journal ArticleDOI
Mathematical analysis of random noise
TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Journal ArticleDOI
Biometrika Tables for Statisticians
Journal ArticleDOI
Handbook of Statistical Tables.
D. G. Beech,D. B. Owen +1 more
TL;DR: The Handbook of Statistical Tables (HNT) as mentioned in this paper is a collection of tables from B.D. Owen's "Handbook of Statistical Table Tables" (1962).