Research for Information Theory

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October 1, 1981
This paper points out a potential source of bias in the estimation of continuous time decision equations and demonstrates the use of an estimation technique, such as the Cox regression model, to correct for this bias.
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September 1, 1981
Survival curves for NPS male recruits were estimated through eight years of service using the FY 1979 cross-sectional data base. Separate analyses were performed for Class A school attendees and non-A school attendees, holding constant the effects of age, educational level, and mental group. Mean survival times (the areas under the survival curves) were calculated for each recruit profile. A cost-benefit analysis was then performed on the mean survival times calculated over four years of service to determine optimal qualifying scores for enlistment.
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February 1, 1981
Examines a class of MARKOV matrices which arise in a simple model of a defense system. The model illustrates a MARKOV chain which is not time-homogeneous but is still amenable to analytic treatment.
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February 1, 1981
This paper uses an econometric model to estimate the short-term gains and losses to particular groups from free trade in the steel industry.
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February 1, 1981
A formula is derived for the calculation of the coverage integral in the most general case. A sample problem is presented and in the appendix, a FORTRAN code is listed for implementing the formula on a computer.
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February 1, 1981
This paper considers the effects of small random perturbations in deterministic systems of differential equations. A previous version of this paper appeared as CNA Professional Paper 225.
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February 1, 1981

Mathematical errors in Manfred Kochen's book, Principles of Information Retrieval, give the reader the erroneous impression that the log-normal distribution is a better fit than Yule's Beta-function distribution for predicting frequency distributions of scientific productivity of econometricians and mathematicians. Correction of these errors suggests that the Beta-function gives a better fit.

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October 1, 1980
This research contribution consists of a series of eight memoranda originally published by the Statistical Research Group at Columbia University for the National Defense Research Committee in 1943 on methods of estimating the vulnerability of various parts of an aircraft based on damage to surviving planes. The methodology presented continues to be valuable in defense analysis and, therefore, has been reprinted by the Center for Naval Analyses in order to achieve wider dissemination.
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July 1, 1980
A novel transform is presented which maps continuum functions (such as probability distributions) into discrete sequences and permits rapid numerical calculation of convolutions, multiple convolutions, and Neumann expansions for Volterra integral equations.
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