Harris, Bernard 1926
Overview
Works:  44 works in 192 publications in 1 language and 1,850 library holdings 

Genres:  Criticism, interpretation, etc Conference papers and proceedings 
Roles:  Editor, Author 
Publication Timeline
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Most widely held works by
Bernard Harris
Graph theory and its applications : proceedings of an advanced seminar conducted by the Mathematics Research Center, United
States Army, at University of Wisconsin, Madison, Oct. 1315, 1969 by
Bernard Harris(
Book
)
7 editions published between 1969 and 1970 in English and held by 534 WorldCat member libraries worldwide
This volume contains the proceedings of an advanced seminar on graph theory and its applications held in Madison, Wisconsin on October 1315, 1969 and sponsored by Mathematics Research Center, United States Army, the University of Wisconsin. Ten of the eleven papers presented there are in this volume, documenting one of the most colorful events in recent mathematical memory. These papers provide a survey of the state of the art in graph theory, in hope of advancing mathematical research in the subject
7 editions published between 1969 and 1970 in English and held by 534 WorldCat member libraries worldwide
This volume contains the proceedings of an advanced seminar on graph theory and its applications held in Madison, Wisconsin on October 1315, 1969 and sponsored by Mathematics Research Center, United States Army, the University of Wisconsin. Ten of the eleven papers presented there are in this volume, documenting one of the most colorful events in recent mathematical memory. These papers provide a survey of the state of the art in graph theory, in hope of advancing mathematical research in the subject
Spectral analysis of time series; proceedings by
Bernard Harris(
Book
)
29 editions published between 1966 and 1967 in English and held by 422 WorldCat member libraries worldwide
29 editions published between 1966 and 1967 in English and held by 422 WorldCat member libraries worldwide
Early Shakespeare by
William Shakespeare(
Book
)
11 editions published between 1961 and 1976 in English and held by 386 WorldCat member libraries worldwide
First ten years of Shakespeare's career from the viewpoints of ten scholars and critics
11 editions published between 1961 and 1976 in English and held by 386 WorldCat member libraries worldwide
First ten years of Shakespeare's career from the viewpoints of ten scholars and critics
Theory of probability by
Bernard Harris(
Book
)
11 editions published in 1966 in English and held by 354 WorldCat member libraries worldwide
Elementary Probability theory; Random variables and probability distributions; expected valuyes and moments; Random experiments and their description. Distrileution theory; Some limit theorems of probability theory
11 editions published in 1966 in English and held by 354 WorldCat member libraries worldwide
Elementary Probability theory; Random variables and probability distributions; expected valuyes and moments; Random experiments and their description. Distrileution theory; Some limit theorems of probability theory
Tables of the two factor and three factor generalized incomplete modified bessel distributions by
Bernard Harris(
Book
)
6 editions published in 1972 in English and held by 18 WorldCat member libraries worldwide
Tables of the twofactor and threefactor generalized incomplete modified Bessel distributions are given along with a description of some of their applications in statistical inference, including their use in determining the reliability of systems of independent parallel components
6 editions published in 1972 in English and held by 18 WorldCat member libraries worldwide
Tables of the twofactor and threefactor generalized incomplete modified Bessel distributions are given along with a description of some of their applications in statistical inference, including their use in determining the reliability of systems of independent parallel components
Bounds for optimal confidence limits for series systems by
Bernard Harris(
Book
)
5 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
LindstromMadden type approximations to the lower confidence limit on the reliability of a series system are theoretically justified by extending and simplifying the results of Sudakoc (1973). Applications are made to Johns (1976) and Winterbottom (1974). Numerical examples are presented
5 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
LindstromMadden type approximations to the lower confidence limit on the reliability of a series system are theoretically justified by extending and simplifying the results of Sudakoc (1973). Applications are made to Johns (1976) and Winterbottom (1974). Numerical examples are presented
Mathematical models for statistical decision theory by
Bernard Harris(
Book
)
6 editions published in 1971 in English and held by 6 WorldCat member libraries worldwide
Three methods of defining optimality of statistical decision rules are introduced. The first uses ideas of approximation theory by defining the optimal decision as that element of the risk set which best approximates an ideal rule. The second optimality principle defines optimality in terms of minimizing functionals. The third method is the axiomatization of optimality in statistical decision theory
6 editions published in 1971 in English and held by 6 WorldCat member libraries worldwide
Three methods of defining optimality of statistical decision rules are introduced. The first uses ideas of approximation theory by defining the optimal decision as that element of the risk set which best approximates an ideal rule. The second optimality principle defines optimality in terms of minimizing functionals. The third method is the axiomatization of optimality in statistical decision theory
The concept of a best approximation as an optimality criterion in statistical decision theory by
Bernard Harris(
Book
)
6 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
The concept of a best approximation from a convex set in a normed linear space is interpreted as a natural choice for a concept of optimality in statistical decision. The fundamental distinction for statistics is that there is a specific orientation to the approximation induced by the notion of admissibility in statistical decision theory
6 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
The concept of a best approximation from a convex set in a normed linear space is interpreted as a natural choice for a concept of optimality in statistical decision. The fundamental distinction for statistics is that there is a specific orientation to the approximation induced by the notion of admissibility in statistical decision theory
The asymptotic distribution of the order of elements in alternating semigroups and in partial transformation semigroups by
Bernard Harris(
Book
)
5 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide
The asymptotic distributions of the order of elements in alternating semigroups and in partial transformation semigroups are obtained and shown to coincide with that for the symmetric semigroup. (Author)
5 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide
The asymptotic distributions of the order of elements in alternating semigroups and in partial transformation semigroups are obtained and shown to coincide with that for the symmetric semigroup. (Author)
Weak convergence for exponential and monotone likelihood ratio families and the convergence of confidence limits by
Bernard Harris(
Book
)
6 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
Two convergence theorems for onesided confidence limits for exponential and monotone likelihood ratio families are given. In addition, for some special exponential families, the class of discrete limit distributions is characterized and a uniqueness result obtained. Examples of the above results are given. Applications to hypothesis testing and confidence limits are indicated
6 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
Two convergence theorems for onesided confidence limits for exponential and monotone likelihood ratio families are given. In addition, for some special exponential families, the class of discrete limit distributions is characterized and a uniqueness result obtained. Examples of the above results are given. Applications to hypothesis testing and confidence limits are indicated
The number h sub n of idempotent elements in the symmetric semigroup on n elements and the asymptotic expansion of h sub n by
Bernard Harris(
Book
)
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
The paper counts the number of idempotent elements H sub n in the symmetric semigroup. The exponential generating function of H sub n is obtained and a number of combinatorial identities and congruences are also given. The asymptotic expansion of H sub n is obtained. (Author)
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
The paper counts the number of idempotent elements H sub n in the symmetric semigroup. The exponential generating function of H sub n is obtained and a number of combinatorial identities and congruences are also given. The asymptotic expansion of H sub n is obtained. (Author)
The use of the tetrachoric series for evaluating multivariate normal probabilities by
Bernard Harris(
Book
)
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
The tetrachoric series is a technique for evaluating multivariate normal probabilities frequently cited in the statistical literature. In this paper we have examined the convergence properties of the tetrachoric series and have established the following. For orthant probabilities, the tetrachoric series converges if abs.val.(rho sub ij) <1/(k1), <or = i<j <or = k, where rho sub ij are the correlation coefficients of a kvariate normal distribution. The tetrachoric series for orthant probabilities diverges whenever k is even and rho sub ij> 1/(k1) or k is odd and rho sub ij> 1/(K2), 1 <or = i <j <or = k. Other specific results concerning the convergence or divergence of this series are also given. The principal point is that the assertion that the tetrachoric series converges for all k> or = 2 and all rho sub ij such that the correlation matrix is positive definite is false
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
The tetrachoric series is a technique for evaluating multivariate normal probabilities frequently cited in the statistical literature. In this paper we have examined the convergence properties of the tetrachoric series and have established the following. For orthant probabilities, the tetrachoric series converges if abs.val.(rho sub ij) <1/(k1), <or = i<j <or = k, where rho sub ij are the correlation coefficients of a kvariate normal distribution. The tetrachoric series for orthant probabilities diverges whenever k is even and rho sub ij> 1/(k1) or k is odd and rho sub ij> 1/(K2), 1 <or = i <j <or = k. Other specific results concerning the convergence or divergence of this series are also given. The principal point is that the assertion that the tetrachoric series converges for all k> or = 2 and all rho sub ij such that the correlation matrix is positive definite is false
A generalization of an inequality of Van Dantzig by
Bernard Harris(
Book
)
4 editions published in 1968 in English and held by 5 WorldCat member libraries worldwide
The inequality the integral from 0 to 1 of (f squared (x)dx = or <1/12 was stated by van Dantzig for all functions of a certain class. This inequality is generalized. (Author)
4 editions published in 1968 in English and held by 5 WorldCat member libraries worldwide
The inequality the integral from 0 to 1 of (f squared (x)dx = or <1/12 was stated by van Dantzig for all functions of a certain class. This inequality is generalized. (Author)
The probability of survival of a subterranean target under intensive attack by
Bernard Harris(
Book
)
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
This report deals with the analysis of a model for studying the probability of survival of a subterranean target under an intensive attack. Most of the analysis is based on the assumption that the explosions are circularly distributed about the target and that the number of explosions is known. In the last two sections it is shown what effect a relaxation of these assumptions has on the probability of survival of the target
3 editions published in 1966 in English and held by 5 WorldCat member libraries worldwide
This report deals with the analysis of a model for studying the probability of survival of a subterranean target under an intensive attack. Most of the analysis is based on the assumption that the explosions are circularly distributed about the target and that the number of explosions is known. In the last two sections it is shown what effect a relaxation of these assumptions has on the probability of survival of the target
The statistical estimation of entropy in the nonparametric case by
Bernard Harris(
Book
)
5 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
5 editions published in 1975 in English and held by 5 WorldCat member libraries worldwide
Hypothesis testing and confidence intervals for a multiplicative poisson model with applications to reliability and bioassay by
Bernard Harris(
Book
)
6 editions published between 1973 and 1974 in English and held by 5 WorldCat member libraries worldwide
ATIVE INTEGERS AND LET (Y sub ij) be mutually independent Poisson random variables with parameters (n sub ij)(alpha sub i)(beta sub j) respectively. N = (n sub ij) is called the design matrix and (n sub ij) may be regarded as the number of observations on independent Poisson random variables with parameters (alpha sub i)(beta sub j). Let theta = the product from j=1 to m of beta sub j. This is a natural parameter of interest in models using increased severity testing in reliability theory and in bioassay problems. When certain conditions on the design matrix are satisfied, tests of hypotheses and confidence intervals for theta are obtained. The randomized forms of these tests and confidence intervals will be uniformly most powerful similar tests and uniformly most accurate unbiased confidence intervals respectively. (Author)
6 editions published between 1973 and 1974 in English and held by 5 WorldCat member libraries worldwide
ATIVE INTEGERS AND LET (Y sub ij) be mutually independent Poisson random variables with parameters (n sub ij)(alpha sub i)(beta sub j) respectively. N = (n sub ij) is called the design matrix and (n sub ij) may be regarded as the number of observations on independent Poisson random variables with parameters (alpha sub i)(beta sub j). Let theta = the product from j=1 to m of beta sub j. This is a natural parameter of interest in models using increased severity testing in reliability theory and in bioassay problems. When certain conditions on the design matrix are satisfied, tests of hypotheses and confidence intervals for theta are obtained. The randomized forms of these tests and confidence intervals will be uniformly most powerful similar tests and uniformly most accurate unbiased confidence intervals respectively. (Author)
A note on the asymptotic normality of the distribution of the number of empty cells in occupancy problems by
Bernard Harris(
Book
)
4 editions published in 1968 in English and held by 5 WorldCat member libraries worldwide
Two elementary proofs of the asymptotic normality of the distribution of the number of empty cells in occupancy problems are provided. (Author)
4 editions published in 1968 in English and held by 5 WorldCat member libraries worldwide
Two elementary proofs of the asymptotic normality of the distribution of the number of empty cells in occupancy problems are provided. (Author)
Generalized incomplete modified Bessel distributions with applications to reliability by
Bernard Harris(
Book
)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Properties of the generalized incomplete modified Bessel distributions are developed and applications to various problems in systems reliability are given. (Author)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Properties of the generalized incomplete modified Bessel distributions are developed and applications to various problems in systems reliability are given. (Author)
The estimation of reliability from stressstrength relationships by
Bernard Harris(
Book
)
4 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
Confidence intervals for P(braces:Y<X) are obtained under the assumptions that X and Y are independently normally distributed and the distribution of Y is known. The procedures of this paper are compared with a procedure suggested by Z. Govindarajulu. (Author)
4 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
Confidence intervals for P(braces:Y<X) are obtained under the assumptions that X and Y are independently normally distributed and the distribution of Y is known. The procedures of this paper are compared with a procedure suggested by Z. Govindarajulu. (Author)
Determining bounds on integrals with applications to cataloging problems by
Bernard Harris(
)
3 editions published in 1958 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1958 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Mathematics Research Center (United States. Army)
 University of Wisconsin
 Brown, John Russell Editor
 Shakespeare, William 15641616
 University of Wisconsin Department of Statistics
 Soms, Andrew P.
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 University of WisconsinMadison Mathematics Research Center
 Schoenfeld, Lowell
 Park, C. J.
Associated Subjects
Approximation theory Asymptotic expansions Bessel functions Canada Combat survivability (Military engineering) Combinatorial analysis Confidence intervals Convergence Distribution (Probability theory) Entropy (Information theory) Graph theory Inequalities (Mathematics) Integrals Mathematical statistics Mathematics Multivariate analysis Nonparametric statistics Probabilities Reliability (Engineering) Sampling (Statistics) Scientists Semigroups Shakespeare, William, Statistical decision Statistical hypothesis testing Statistical hypothesis testingAsymptotic theory Statistics Timeseries analysis Underground constructionMathematical models United States