#### Submissions from 2011

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

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

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

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

Conflations of Probability Distributions, Theodore P. Hill

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

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

#### Submissions from 2010

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

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

Hoisting the Black Flag, Theodore P. Hill

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

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

#### Submissions from 2009

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

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

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

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

#### Submissions from 2008

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

Conflations of Probability Distributions, Theodore P. Hill

#### Submissions from 2007

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

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

#### Submissions from 2006

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

Cal Poly Program Flyers: 2006-2009, Robert Field

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

#### Submissions from 2005

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

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

#### Submissions from 2004

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

#### Submissions from 2003

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

CCC Ocean Science Quest ROAD Reporters Workshop Summary, Robert Field

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

#### Submissions from 2002

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

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

#### Submissions from 2001

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

#### Submissions from 2000

Cal Poly Program Flyers: 2000-2005, Robert Field

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

#### Submissions from 1999

Goal Problems in Gambling Theory, Theodore P. Hill

The Difficulty of Faking Data, Theodore P. Hill

#### Submissions from 1998

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

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

#### Submissions from 1996

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

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

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

#### Submissions from 1995

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

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

The Significant-Digit Phenomenon, Theodore P. Hill

#### Submissions from 1994

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

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

#### Submissions from 1993

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

Partitioning Inequalities in Probability and Statistics, Theodore P. Hill

#### Submissions from 1992

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

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

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

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

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

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

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

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

#### Submissions from 1991

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

#### Submissions from 1990

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

#### Submissions from 1989

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

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

#### Submissions from 1988

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

A Proportionality Principle for Partitioning Problems, Theodore P. Hill

Common Hyperplane Medians for Random Vectors, Theodore P. Hill

#### Submissions from 1987

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

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

Expectation Inequalities Associated With Prophet Problems, Theodore P. Hill

Partitioning General Probability Measures, Theodore P. Hill

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

#### Submissions from 1986

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

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

#### Submissions from 1985

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

#### Submissions from 1984

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

#### Submissions from 1983

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

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

Determining a Fair Border, Theodore P. Hill

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

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

#### Submissions from 1982

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

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

#### Submissions from 1981

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

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

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

#### Submissions from 1979

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