George Marsaglia | Academic Influence

George Marsaglia's AcademicInfluence.com Rankings

George Marsaglia

Mathematics

#1420

World Rank

#2340

Historical Rank

#587

USA Rank

Measure Theory

#1398

World Rank

#1752

Historical Rank

#483

USA Rank

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Mathematics

George Marsaglia's Degrees

Bachelors Mathematics Carnegie Mellon University

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Why Is George Marsaglia Influential?

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According to Wikipedia, George Marsaglia was an American mathematician and computer scientist. He is best known for creating the diehard tests, a suite of software for measuring statistical randomness. Research on random numbers George Marsaglia established the lattice structure of linear congruential generators in the paper "Random numbers fall mainly in the planes", later termed Marsaglia's theorem. This phenomenon means that n-tuples with coordinates obtained from consecutive use of the generator will lie on a small number of equally spaced hyperplanes in n-dimensional space. He also developed the diehard tests, a series of tests to determine whether or not a sequence of numbers have the statistical properties that could be expected from a random sequence. In 1995 he published a CD-ROM of random numbers, which included the diehard tests.

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George Marsaglia's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Evaluating Kolmogorov's distribution (2003) (746)
The Ziggurat Method for Generating Random Variables (2000) (648)
Choosing a Point from the Surface of a Sphere (1972) (625)
Random numbers fall mainly in the planes. (1968) (514)
A Convenient Method for Generating Normal Variables (1964) (493)
A New Class of Random Number Generators (1991) (398)
Ratios of Normal Variables and Ratios of Sums of Uniform Variables (1965) (395)
FERROKINETICS IN MAN (1970) (381)
Toward a universal random number generator (1987) (328)
A simple method for generating gamma variables (2000) (197)
Uniform Random Number Generators (1965) (196)
Ratios of Normal Variables (2006) (183)
Some Difficult-to-pass Tests of Randomness (2002) (166)
Evaluating the Anderson-Darling Distribution (2004) (153)
The Structure of Linear Congruential Sequences (1972) (153)
Ferrokinetics: a biologic model for plasma iron exchange in man. (1970) (150)
A fast procedure for generating normal random variables (1964) (142)
Blood ferrokinetics in normal man. (1967) (135)
A Fast, Easily Implemented Method for Sampling from Decreasing or Symmetric Unimodal Density Functions (1984) (134)
Matrices and the structure of random number sequences (1985) (126)
Monkey tests for random number generators (1993) (122)
Generating Correlation Matrices (1984) (106)
Evaluating the Normal Distribution (2004) (87)
Some portable very-long-period random number generators (1994) (85)
A random number generator for PC's (1990) (80)
One-line random number generators and their use in combinations (1968) (79)
Generating a Variable from the Tail of the Normal Distribution (1964) (78)
Random Number Generators (2003) (76)
Fast Generation of Discrete Random Variables (2004) (67)
A new derivation of Stirling's approximation of n ! (1990) (60)
Generating discrete random variables in a computer (1963) (60)
Idempotent Matrices and Quadratic Forms in the General Linear Hypothesis (1957) (58)
Expressing a Random Variable in Terms of Uniform Random Variables (1961) (57)
When Does Rank(A+B)=Rank(A)+Rank(B)? (1972) (53)
A Note on the "Lack of Memory" Property of the Exponential Distribution (1975) (52)
In: Applications of Number Theory to Numerical Analysis (1972) (50)
The squeeze method for generating gamma variates (1977) (50)
Improvements on Fast Methods for Generating Normal Random Variables (1976) (49)
RANDOM VARIABLES WITH INDEPENDENT BINARY DIGITS (1971) (46)
The exact-approximation method for generating random variables (1984) (44)
CONDITIONAL MEANS AND COVARIANCES OF NORMAL VARIABLES WITH SINGULAR COVARIANCE MATRIX (1964) (39)
Classical Goodness-of-Fit Tests for Univariate Distributions (2015) (39)
TREATMENT OF LEUKEMIA BY EXTRACORPOREAL IRRADIATION. (1965) (38)
The Monty Python Method for Generating Gamma Variables (1999) (38)
A fast procedure for generating exponential random variables (1964) (37)
A method of investigating internal iron exchange utilizing two types of transferrin. (1967) (37)
RANDOM VARIABLES AND COMPUTERS (1962) (36)
Generating Exponential Random Variables (1961) (34)
The Monty Python method for generating random variables (1998) (33)
Note on a Proposed Test for Random Number Generators (1985) (33)
Regularities in congruential random number generators (1970) (32)
On the Randomness of Pi and Other Decimal Expansions (2005) (28)
The 64-bit universal RNG (2004) (26)
Seeds for random number generators (2003) (25)
Numerical solution of some classical differential-difference equations (1989) (21)
Iterated limits and the central limit theorem for dependent variables (1954) (21)
A note on the construction of a multivariate normal sample (1957) (19)
The nature of internal iron exchange in man. (1962) (17)
THE RADIATION DOSE ACCUMULATED BY BLOOD DURING EXTRACORPOREAL IRRADIATION. (1965) (16)
Monkeying with the Goodness-of-Fit Test (2005) (16)
The mathematics of random number generators (1992) (15)
The incomplete Γ function as a continuous poisson distribution (1986) (15)
Expressing the normal distribution with covariance matrix A + B in terms of one with covariance matrix A (1963) (14)
Normal (Gaussian) random variables for supercomputers (1991) (14)
Mathematical Consideration of Cross Circulation and Exchange Transfusion * (1971) (13)
Plasma radioiron kinetics in man: explanation for the effect of plasma iron concentration. (1978) (13)
IMPROVING THE POLAR METHOD FOR GENERATING A PAIR OF NORMAL RANDOM VARIABLES (1962) (10)
BOUNDS FOR THE RANK OF THE SUM OF TWO MATRICES (1964) (10)
MOMENT CROSSINGS AS RELATED TO DENSITY CROSSINGS (1965) (10)
ONE-SIDED APPROXIMATIONS BY LINEAR COMBINATIONS OF FUNCTIONS, (1969) (9)
RANK CONDITIONS FOR GENERALIZED INVERSES OF PARTITIONED MATRICES (2016) (9)
The distance between random points in rectangles (1990) (9)
STOCHASTIC ANALYSIS OF MULTI-COMPARTMENT SYSTEMS (1963) (7)
Random number generation (2003) (6)
Generating random variables with a $t$-distribution (1980) (6)
A general method for producing random variables in a computer (1966) (5)
UNIFORM DISTRIBUTIONS OVER A SIMPLEX (1961) (5)
Simulating interpolation search (1993) (5)
Some Problems Involving Circular and Spherical Targets (1965) (5)
Note: Acknowledgment of Priority to "Random Variables with Independent Binary Digits" (1974) (3)
A note on the compatibility of distribution functions (1953) (3)
Random selection of subsets with specified element probabilities (1990) (2)
The X + Y, X/Y Characterization of the Gamma Distribution (1989) (2)
C69. Generating a normal sample with given sample mean and variance (1980) (2)
STILL ANOTHER METHOD FOR PRODUCING NORMAL VARIABLES IN A COMPUTER (1965) (1)
PROCEDURES FOR GENERATING NORMAL RANDOM VARIABLES, II (1961) (1)
Monte Carlo method (2003) (1)
The cumulative effect of random losses in a transmission line (1963) (1)
A METHOD FOR PRODUCING RANDOM VARIABLES IN A COMPUTER. (1964) (1)
Notes: Acknowledgment of Priority to "Random Variables with Independent Binary Digits" (1974) (1)
ELEMENTARY RELATIONS BETWEEN UNIFORM AND NORMAL DISTRIBUTIONS IN THE PLANE (1962) (0)
CO CD Ö a ? BOEING ! CIENTIFIC ESEARCH ABORATORI ES Random Variables and Computers (2015) (0)
OPTIMAL REPRESENTATION OF A FUNCTION AS A LINEAR COMBINATION OF FUNCTIONS (1967) (0)
Random variables with independent integer and fractional parts (1995) (0)
Query 27: Psuedo Random Normal Numbers (1968) (0)
THE RADIATION DOSE ACCUMULATED BY BLOOD DIVERTED THROUGH A SHUNT (1964) (0)
Letters in Statistics and Probability (2004) (0)
C309. An algorithm for the area of the union of a collection of convex sets (1989) (0)
Short Proof of a Result on Determinants (1965) (0)
Some probability theory associated with clustered-rocket flights (1961) (0)
A REMARK ON CIRCULANTS (1962) (0)
How Random Is Random Enough (1993) (0)

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