A critical review of the design of sampling from finite populations is presented and new research areas are developed. A major motivation for this study is an attempt at conceptual aspects of...
Optimal Issuing Policies under Stochastic Field Lives, (2005)
Consider a stockpile of n items where the ith item has a rating (r sup i), i = 1,...,n. An item with rating (r sup i) if released to the field at time 0 will have a random field life distributed as x...
Selection of Largest Multiple Correlation Coefficients: Exact Sample Size Case. (2002)
Alam,Khursheed, Rizvi,M. Haseeb, Solomon,Herbert
In a recent article, Rizvi and Solomon considered the problem of selection of t largest from among k multiple correlation coefficients, each arising from one of k independent p-variate normal...
A Group Decision Making Model: The American Jury. (2002)
Gelfand,Alan E., Solomon,Herbert
Two earlier papers by the authors have developed two and three parameter models for jury verdicts. The present research employs these models to examine in more detail the internal and external...
Information Density Phenomena and Random Packing. (2002)
Dolby,James L., Solomon,Herbert
A density model for various phenomena with densities much smaller than those explored by the Zipf model is developed. The density of spherical random packing in n dimensions serves as a model for...
On Combining Pseudorandom Number Generators. (2002)
Let X = (X1,...,Xn) and Y = (Y1,...,Yn) be independent random vectors whose components take values in (O,1,...,m-1). Let r be the joint distribution of n independent random variables uniformly...
Estimation of Parameters of Zero-One Processes by Interval Sampling: An Adaptive Strategy. (2002)
Brown,M., Solomon,Herbert, Stephens,M. A.
In a previous paper, the problem of estimating the parameters was considered giving the mean time in each stage, for a two-stage Poisson process, when sampling was permitted only at equal intervals....
Approximations to Densities in Geometric Probability. (2002)
Solomon,Herbert, Stephens,Michael A.
Many random variables arising in problems of geometric probability have intractable densities, and it is very difficult to find probabilities or percentage points based on these densities. A simple...
Bayes and Equivariant Estimators of the Variance of a Finite Population. (2002)
The problem of estimating the variance of a finite population is studied in a Bayesian framework. On the basis of the modern theoretical approach to sampling from finite populations and the special...
Variance Reduction in Monte Carlo Simulation. (2002)
Brown,Mark, Solomon,Herbert, Stephens,Michael A.
The problem of Monte Carlo estimation of M(t) = EN(t), the expected number of renewals (O,t) for a renewal process with known interarrival time distribution F, is considered. Several unbiased...
An Approximation to the Distribution of the Sample Variance. (2002)
Solomon,Herbert, Stephens,Michael A.
A simple three-moment approximation is introduced for the distribution of the sample variance. Comparisons are given with other approximations.
On Tests for Uniformity: Neyman's Statistic and Statistics Based on Gaps and Stretches. (2002)
Solomon,Herbert, Stephens,Michael A.
Distributions of two statistics arising in sampling from a uniform distribution are investigated. They are Neyman's smooth goodness-of-fit statistic of order two and the maximum of a gap or stretch...
Blaisdell,B. Edwin, Solomon,Herbert
A conjecture of Palasti that the limiting packing density beta sub d is a space of dimension d equals beta superscript d where Beta is the limiting packing density in one dimension continues to be...
A Review of the Packing Problem. (2002)
Solomon,Herbert, Weiner,Howard
This random packing problem has been of interest to investigators in several disciplines. Physical chemists have investigated such models in two and three dimensions. Because of analytical...
ON RANDOM SEQUENTIAL PACKING IN THE PLANE AND A CONJECTURE OF PALASTI. (1998)
Blaisdell,B. Edwin, Solomon,Herbert
A conjecture by Palasti on mean values for random packing is explored. After thorough experimental examination and with several theoretical results as anchor points, the conjecture is demonstrated to...
Selection of Largest Multiple Correlation Coefficients: Asymptotic Case. (1998)
Rizvi,M. Haseeb, Solomon,Herbert
The paper considers the problem of selection of t largest from among k multiple correlation coefficients, each arising from one of k independent p-variate normal populations with unknown mean vectors...
A Gaussian Approximation to the Distribution of Definite Quadratic Form. (1998)
Let Q sub K = summation from j = 1 to K of c sub j (x sub j + a sub j) squared be a definite quadratic form in independent standardized Gaussian variables, x sub j, and let Q sub k = theta sub 1 be...
Some Results for Secondary Processes Generated by a Poisson Process. (1998)
The authors obtain the moment structure of a general class of random variables generated by a Poisson process. The authors then apply these relationships to several applied probability models. Among...
Manpower Policy and the Reenlistment Rate. (1998)
Haber,Sheldon E., Ireland,T., Solomon,Herbert
The application of contingency table analysis to longitudinal military manpower data is illustrated. The data pertain to first-term enlistees in the U.S. Marine Corps. The problem addressed is the...
Distributions of Quadratic Forms. (1998)
Bock, Mary E., Solomon, Herbert
For independent chi-square variables x squared sub m and x squared sub n with m and n degrees of freedom, respectively, we consider the quadratic form where the positive ci are distinct. This paper...
Percentage Points for the Fisher-Cochran Test for Equality of Variances. (1998)
Solomon, Herbert, Stephens, Michael A.
A well known test for equality of normal population variances, based on sample variances, was introduced by Cochran (1941). He introduced a test strategic which compares the largest sample variance...
Theoretical and Experimental Analysis of the Neural Bases for Learning and Memory. (1998)
Thompson, Richard F., Solomon, Herbert
Our ONR supported empirical work during the past five years has focused on identification of the essential i.e., the necessary and sufficient, neural memory trace circuitry and the essential memory...
Approximations to Joint Distributions of Definite Quadratic Forms. (1998)
Jensen, D. R., Solomon, Herbert
Mutidimensional Wilson-Hiferty transformations support Gaussian approximations to certain joint distributions of quadratic forms in Gaussian Variables. Central and noncentral distributions are...
Approximations to Joint Distributions of Definite Quadratic Forms. (1998)
Jensen, D. R., Solomon, Herbert
Multidimensional Wilson-Hilferty transformations support Gaussian approximations to certain joint distributions of quadratic forms in Gaussian variables. Central and noncentral distributions are...
The titles of the 42 technical reports indicate the wide variety of the topics developed in applied statistics and applied probability issued under the contract. In addition a number of technical...
Thermal neutron capture. (1950)
Thesis (Ph. D.)--University of Chicago, Department of Physics.