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Submissions from 2011

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Benford’s Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem, Arno Berger and Theodore P. Hill

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A Basic Theory of Benford’s Law, Arno Berger and Theodore P. Hill

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Finite-state Markov Chains Obey Benford’s Law, Arno Berger, Theodore P. Hill, Bahar Kaynar, and Ad Ridder

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A Stronger Conclusion to the Classical Ham Sandwich Theorem, John H. Elton and Theodore P. Hill

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Conflations of Probability Distributions, Theodore P. Hill

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Criticisms of the proposed “new SI”, Theodore P. Hill

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Towards a Better Definition of the Kilogram, Theodore P. Hill, Jack Miller, and Albert C. Censullo

Submissions from 2010

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Fundamental Flaws in Feller’s Classical Derivation of Benford’s Law, Arno Berger and Theodore P. Hill

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Obituary for Lester Eli Dubins, 1921-2010, David Gilat, Ted Hill, and Bill Sudderth

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Hoisting the Black Flag, Theodore P. Hill

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Cutting Cakes Carefully, Theodore P. Hill and Kent E. Morrison

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Finite-state Markov Chains Obey Benford’s Law, Babar Kaynar, Arno Berger, Theodore P. Hill, and Ad Ridder

Submissions from 2009

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Ham Sandwich with Mayo: A Stronger Conclusion to the Classical Ham Sandwich Theorem, John H. Elton and Theodore P. Hill

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How to Publish Counterexamples in 1 2 3 Easy Steps, Theodore P. Hill

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An Optimal Method to Combine Results from Different Experiments, Theodore P. Hill and Jack Miller

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Counterexamples in the Theory of Fair Division, Theodore P. Hill and Kent E. Morrison

Submissions from 2008

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Scale-Distortion Inequalities for Mantissas of Finite Data Sets, Arno Berger, Theodore P. Hill, and Kent E. Morrison

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Conflations of Probability Distributions, Theodore P. Hill

Submissions from 2007

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Newton's Method Obeys Benford's Law, Arno Berger and Theodore P. Hill

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A Better Definition of the Kilogram, Ronald F. Fox and Theodore P. Hill

Submissions from 2006

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A characterisation of Newton maps, Arno Berger and Theodore P. Hill

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Cal Poly Program Flyers: 2006-2009, Robert Field

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The Natural History of Planet Earth ISE Project Summary, Robert Field

Submissions from 2005

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One-Dimensional Dynamical Systems and Benford's Law, Arno Berger, Leonid A. Bunimovich, and Theodore P. Hill

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Regularity of digits and significant digits of random variables, Theodore P. Hill and Klaus Schürger

Submissions from 2004

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Constructing Random Probability Distributions, Theodore P. Hill and David E.R. Sitton

Submissions from 2003

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Maximin Share and Minimax Envy in Fair-Division Problems, Marco Dall'Aglio and Theodore P. Hill

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CCC Ocean Science Quest ROAD Reporters Workshop Summary, Robert Field

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Necessary and Sufficient Condition that the Limit of Stieltjes Transforms is a Stieltjes Transform, Jeffrey S. Geronimo and Theodore P. Hill

Submissions from 2002

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Random Probability Measures with Given Mean and Variance Running title: Random Probability Measures, Lisa Bloomer and Theodore P. Hill

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Levy-like Continuity Theorems for Convergence in Distribution, Theodore P. Hill and Ulrich Krengel

Submissions from 2001

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Extreme-Value Moment Goodness-of-Fit Tests, Theodore P. Hill and Victor Perez-Abreu

Submissions from 2000

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Cal Poly Program Flyers: 2000-2005, Robert Field

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Alternative Empirical Distributions Based on Weigted Linear Combinations of Order Statistics, Theodore P. Hill and James Mann

Submissions from 1999

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Goal Problems in Gambling Theory, Theodore P. Hill

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The Difficulty of Faking Data, Theodore P. Hill

Submissions from 1998

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On the Basic Representation Theorem for Convex Domination of Measures, J. Elton and Theodore P. Hill

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Constructions of Random Distributions via Sequential Barycenters, Theodore P. Hill and Michael Monticino

Submissions from 1996

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Strong Laws for L- and U-Statistics, J. Aaronson, R. Burton, H. Dehling, D. Gilat, Theodore P. Hill, and B. Weiss

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Strongly-Consistent, Distribution-Free Confidence Intervals for Quantiles, David Gilat and Theodore P. Hill

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A Note on Distributions of True Versus Fabricated Data, Theodore P. Hill

Submissions from 1995

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A Statistical Derivation of the Significant-Digit Law, Theodore P. Hill

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Base-Invariance Implies Benford's Law, Theodore P. Hill

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The Significant-Digit Phenomenon, Theodore P. Hill

Submissions from 1994

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Minimax-Optimal Strategies for the Best-Choice Problem When a Bound is Known for the Expected Number of Objects, Theodore P. Hill and D. P. Kennedy

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On the Relationship Between Convergence in Distribution and Convergence of Expected Extremes, Theodore P. Hill and M. C. Spruill

Submissions from 1993

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Quantile-Locating Functions and the Distance Between the Mean and Quantiles, D. Gilat and Theodore P. Hill

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Partitioning Inequalities in Probability and Statistics, Theodore P. Hill

Submissions from 1992

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Moment-Based Minimax Stopping Functions for Sequences of Random Variables, Frans A. Boshuizen and Theodore P. Hill

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Fusions of a Probability Distribution, J. Elton and Theodore P. Hill

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One-Sided Refinements of the Strong Law of Large Numbers and the Glivenko-Cantelli Theorem, David Gilat and Theodore P. Hill

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Sharp Inequalities for Optimal Stopping with Rewards Based on Ranks, Theodore P. Hill and D. P. Kennedy

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A Survey of Prophet Inequalities in Optimal Stopping Theory, Theodore P. Hill and Robert P. Kertz

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A Prophet Inequality Related to the Secretary Problem, Theodore P. Hill and Ulrich Krengel

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On the Construction of Generalized Measure Preserving Transformations With Given Marginals, Theodore P. Hill and Ulrich Krengel

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On the Game of Googol, Theodore P. Hill and Ulrich Krengel

Submissions from 1991

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Minimax-Optimal Stop Rules and Distributions in Secretary Problems, Theodore P. Hill and Ulrich Krengel

Submissions from 1990

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A Generalization of Levy's Concentration-Variance Inequality, R. D. Foley, Theodore P. Hill, and M. C. Spruill

Submissions from 1989

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Prophet Inequalities for Parallel Processes, Theodore P. Hill and D. P. Kennedy

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Optimal-Partitioning Inequalities in Classification and Multi-Hypotheses Testing, Theodore P. Hill and Y. L. Tong

Submissions from 1988

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Equitable Distribution of Indivisible Objects, Stephen Demko and Theodore P. Hill

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A Proportionality Principle for Partitioning Problems, Theodore P. Hill

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Common Hyperplane Medians for Random Vectors, Theodore P. Hill

Submissions from 1987

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A Generalization of Lyapounov's Convexity Theorem to Measures with Atoms, John Elton and Theodore P. Hill

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A Sharp Partitioning-Inequality for Non-Atomic Probability Measures Based on the Mass of the Infimum of the Measures, Theodore P. Hill

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Expectation Inequalities Associated With Prophet Problems, Theodore P. Hill

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Partitioning General Probability Measures, Theodore P. Hill

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The Existence of Good Markov Strategies for Decision Processes with General Payoffs, Theodore P. Hill and Victor C. Prestien

Submissions from 1986

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Optimal-Partitioning Inequalities for Nonatomic Probability Measures, John Elton, Theodore P. Hill, and Robert P. Kertz

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Prophet Inequalities for Averages of Independent Non-Negative Random Variables, Theodore P. Hill

Submissions from 1985

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Equipartitioning Common Domains of Non-Atomic Measures, Theodore P. Hill

Submissions from 1984

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On Maximizing the Average Time at a Goal, S. Demko and Theodore P. Hill

Submissions from 1983

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Almost Sure Stability of Partial Sums of Uniformly Bounded Random Variables, Theodore P. Hill

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A Stronger Form of the Borel-Cantelli Lemma, Theodore P. Hill

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Determining a Fair Border, Theodore P. Hill

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Stop Rule Inequalities for Uniformly Bounded Sequences of Random Variables, Theodore P. Hill and Robert P. Kertz

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The Advantage of Using Non-Measurable Stop Rules, Theodore P. Hill and Victor C. Prestien

Submissions from 1982

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Conditional Generalizations of Strong Laws Which Conclude the Partial Sums Converge Almost Surely, Theodore P. Hill

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Comparisons of Stop Rule and Supremum Expectations of I.I.D. Random Variables, Theodore P. Hill and Robert P. Kertz

Submissions from 1981

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Decision Processes with Total-Cost Criteria, Theodore P. Hill and Steven Demko

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Additive Comparisons of Stop Rule and Supremum Expectations of Uniformly Bounded Independent Random Variables, Theodore P. Hill and Robert P. Kertz

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Ratio Comparisons of Supremum and Stop Rule Expectations, Theodore P. Hill and Robert P. Kertz

Submissions from 1979

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On the Existence of Good Markov Strategies, Theodore P. Hill