Research for Formula Translator Language

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A User's Guide to the MOFO Model
August 1, 1989
This research memorandum is a user's guide for the six-degree-of-freedom flight path generator, Model of Flying Objects (MOFO). Described in detail are the procedures for setting up, running, and modifying the model's underlying software, as well as input data requirements and the output that the model provides. A functional description of each program module is included, and listings of the FORTRAN source code and an automated modification routine appear as appendixes.
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Bayesian Estimation of n in a Binomial Distribution
October 1, 1987
A method has been developed to estimate the total number of trials, 'n', from a Bayesian perspective when the probability of success, 'p', is either known or unknown. The prior distribution for 'n' is assumed to be the discrete uniform distribution. In the case when 'p' is unknown, 'p' is assumed to have a beta prior distribution. The estimate for 'n' is then the mode of the posterior distribution. Additionally, guidelines for selecting shape parameters for the beta distributions are discussed.
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Confidence Interval for Parameter n in a Binomial Distribution
January 1, 1987
A simple procedure to approximate a confidence interval for the parameter n in a binomial distribution is presented in this research memorandum. A simulation procedure to verify the coverage of confidence intervals is presented in appendix A. An interactive computer program is included in appendix B. The program is written in the FORTRAN language, which is readily available in most computing environments. Tables with 90 percent and 95 percent confidence coefficients are included in appendix C.
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Computation of Range and Headings Along Great Circle Paths
February 1, 1986
This paper presents formulas for the initial and final headings on the shortest great circle path between an origin 'O' and a destination 'D' whose positions are specified by latitude and longitude. A FORTRAN subroutine to implement the formulas is also included.
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INTEGRATION OF A BIVARIATE NORMAL OVER AN OFFSET CIRCLE
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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DATA SUBROUTINE - CNA COMPUTER PROGRAM 13-65S
June 1, 1974
A computer program written in FORTRAN which allows the facility of free-format data input is described. Flow charts and a listing of the program are included.
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AIR-TO-GROUND GUNNERY SIMULATION, CNA COMPUTER PROGRAM 6-70 (PROGRAM AIRTOGR)
June 1, 1974
A computer program employing a Monte Carlo simulation is presented to determine the probability of destroying a rectangular target with air-to-ground gunnery. The effect of correlation of successive aim points is considered, and bivariate normal aiming error and ballistic dispersion are assumed. Included in the report are a flow chart, a listing of the FORTRAN program, and a sample program.
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FISHER EXACT PROBABILITY TEST
June 1, 1974
The Fisher Exact Probability Test is a non-parametric technique for testing whether or not two samples could reasonably be expected to have originated from the same population. This paper defines the test, demonstrates its use, and explains a Fortran program which was developed to calculate the required values.
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CNA COMPUTER PROGRAM 19-69, WEAPON PATTERN EFFECTIVENESS III
June 1, 1974
A Monte Carlo simulation program has been written in FORTRAN to compute hit probabilities of a pattern of weapons against a maneuvering target. The aimpoint is specified, and a bivariate normal aiming error is assumed for the weapon pattern; individual weapons in the pattern are assumed to have bivariate normal (ballistic) dispersion errors. Target initial velocity, time spent in a straight leg, turning radius, and time spent in the turn are specified, and a normal distribution are included. Flow charts, program listing, and sample inputs and outputs are provided.
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A MODEL OF FLEET DEFENSE BY INTERCEPTOR AIRCRAFT
June 1, 1974
This research contribution describes an iterative Monte Carlo computer simulation of fleet defense by carrier-based aircraft. The model is completely general in regard to the size of the committed forces and the capabilities of their weapons, and it allows some diversity in the composition of the defending interceptor force. It also permits consideration of a variety of tactical options.
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