Research for Computational Methods

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ON THE ESTIMATION OF TECHNICAL INEFFICIENCY IN THE STOCHASTIC FRONTIER PRODUCTION FUNCTION MODEL
February 1, 1981
This paper proposes a method of separating the error term of the stochastic frontier model into its two components for each observation.
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UNIFORM TREATMENT OF FLUCTUATIONS AT CRITICAL POINTS
February 1, 1981

A generalized critical point is characterized by the vanishing of certain linear relationships. In particular, the dynamics near such a point are completely non-linear. This paper analyzes fluctuations at such points of spatially homogeneous systems. Thermodynamic critical points as a special case are discussed, but the main emphasis is on stochastic kinetic equations. It is shown that fluctuations at a critical point cannot be characterized by a Gaussian density, but more sophisticated densities yield reasonable results. The theory is applied to the critical harmonic oscillator.

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PHASE SPACE PATH INTEGRALS, WITHOUT LIMITING PROCEDURE
February 1, 1981

This paper defines path integrals in phase space without using a time-division approach followed by a limiting process, thereby generalizing a similar procedure used in configuration space.

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RACIAL DIFFERENCES IN HOURS WORKED IN THE MARKET, A PRELIMINARY REPORT
February 1, 1981
This paper investigates labor supply differences. It draws on a mathematical model with the multiple individual household as the center of analysis. Whether differences in household market opportunities explain all the differences in market activity or only a portion will be examined.
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POSITION FINDING WITH PRIOR KNOWLEDGE OF COVARIANCE PARAMETERS
February 1, 1981
This paper extends a Bayesian approach to the classical methods for solving the position-finding problem.
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WKB EXPANSIONS BY PATH INTEGRALS, WITH APPLICATIONS TO THE ANHARMONIC OSCILLATOR
February 1, 1981
This paper is composed in three sections. The first section discusses linear mappings in path space and uses them to extend widely the class of functionals one can integrate. The second section studies the relationship between the equation of small disturbances and the path integral approach. The third section presents a detailed discussion of the classical and quantum-mechanical anharmonic oscillator (leading to a standard prototype field theory), as an application of the preceding material.
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RELAXATION AT CRITICAL POINTS, DETERMINISTIC AND STOCHASTIC THEORY
February 1, 1981

A generalized critical point is characterized by totally non-linear dynamics. The deterministic and stochastic theory of relaxation is formulated at such a point. Canonical problems are used to motivate the general solutions. In the deterministic theory, it is shown that at the critical point certain modes have polynomial (rather than exponential) growth or decay. The stochastic relaxation rates can be calculated in terms of various incomplete special functions. First, a substrate inhibited reaction (marginal type dynamical system). Second, the relaxation of a mean field ferromagnet. Third, the relaxation of a critical harmonic oscillator is considered.

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SOME EXTENSIONS OF THE NERLOVE-PRESS MODEL
November 1, 1980
This paper reformulates the Nerlove-Press model in terms of an unobserved underlying variable with a continuous and three dummy indicators.
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ANALYTICAL METHODS IN SEARCH THEORY
December 1, 1979
The expanded version of a set of lecture notes, this work is concerned with mathematical analysis, and not modeling target motion or detection functions, and not with the development of computer codes.
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SOME MATHEMATICAL METHODS FOR INTELLIGENCE ANALYSIS
April 1, 1978

This paper discusses useful techniques for intelligence analysis.

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