Published Research

Mar 1, 1950

A General Problem in the Calculus of Variations with Applications to Paths of Least Time

This paper collects known results for the so-called problem of Bolza and interprets them in terms of a problem connected with calculating paths of least time for airplanes.

Jan 1, 1950

The Circular Coverage Function

A condensation of tabulated values of the circular coverage function, an integral representing the probability that a missile will hit a circle of radius R if it is aimed at a point a distance r from the center of the circle and if it is subject to a Gaussian impact-probability law of unit standard deviation.

Jan 1, 1950

The conditional expectancy of mental disease.

A presentation of a simple expectancy measure for mental disease of value for scientific analysis with a new expectancy table based on this measure. Expectancies are extended to cover noninstitutionalized psychotics....

Jan 1, 1950

Some Nonparametric Tests of Whether the Largest Observations of a Set Are Too Large or Too Small.

A presentation of some nonparametric tests of whether the [r] largest observations of the set are too large or too small to be consistent with the hypothesis that these populations have a common median value. The observations are statistically indepe...

Jan 1, 1950

Some Estimates and Tests Based on [r] Smallest Values in a Sample.

An analysis of a situation in which only the r smallest values of a sample of size are available. Properties of some well-known nonparametric point estimates, confidence intervals, and significance tests for the 100p percent point of the population a...

Jan 1, 1950

On the General Moment Problem.

A method which theoretically resolves the general moment problem and provides the solution to the problem of characterizing the moment space of characteristic functions....

Jan 1, 1950

Gamma-Ray Transmission

A study of the various approximations in transmitting gamma rays through material media.

Jan 1, 1950

Recurrence Times for the Ehrenfest Model.

A report on an Ehrenfest model with a continuous time parameter....

Jan 1, 1950

Heat recovery and maximum thermodynamic efficiency in a rocket.

Study to determine the maximum thermodynamic efficiency that can be obtained in a rocket by the addition of a perfect countercurrent heat exchanger....

Jan 1, 1950

On an equation occurring in the harmonic analysis of viscous fluid flow.

A discussion about an equation occurring in the harmonic analysis of viscous fluid flow....

Jan 1, 1950

Some Statistical Problems Connected with Stochastic Processes.

A treatment of the statistical problem of testing the hypothesis that a sample of n independent, identically distributed, random variables has the common continuous distribution function F(x) fixed in advance. (Published in The Annals of Mathematical...

Jan 1, 1950

On Games Involving Bluffing

An investigation of some sets of heuristic axioms of play for simple card games in order to determine the general pattern which contributes to the solution of the mathematical problem of the solution of maximizing or minimizing the expectation of a ...

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Published Research

Error

A General Problem in the Calculus of Variations with Applications to Paths of Least Time

The Circular Coverage Function

The conditional expectancy of mental disease.

Some Nonparametric Tests of Whether the Largest Observations of a Set Are Too Large or Too Small.

Some Estimates and Tests Based on [r] Smallest Values in a Sample.

On the General Moment Problem.

Gamma-Ray Transmission

Recurrence Times for the Ehrenfest Model.

Heat recovery and maximum thermodynamic efficiency in a rocket.

On an equation occurring in the harmonic analysis of viscous fluid flow.

Some Statistical Problems Connected with Stochastic Processes.

On Games Involving Bluffing

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