Ted Hill
#51,137
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Mathematician
Ted Hill 's AcademicInfluence.com Rankings
Ted Hill mathematics Degrees
Mathematics
#3776
World Rank
#5499
Historical Rank
#1365
USA Rank
Measure Theory
#2647
World Rank
#3167
Historical Rank
#762
USA Rank
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Mathematics
Ted Hill 's Degrees
- Bachelors Mathematics Princeton University
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Why Is Ted Hill Influential?
(Suggest an Edit or Addition)According to Wikipedia, Theodore Preston Hill is an American mathematician specializing in probability theory. He is a professor emeritus at the Georgia Institute of Technology and a researcher at California Polytechnic State University, San Luis Obispo.
Ted Hill '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
- A Statistical Derivation of the Significant-Digit Law (1995) (653)
- A good life. (1993) (253)
- The First Digit Phenomenon (1998) (246)
- Base-Invariance Implies Benford's Law (1995) (235)
- The Significant-Digit Phenomenon (1995) (161)
- Comparisons of Stop Rule and Supremum Expectations of I.I.D. Random Variables (1982) (98)
- A basic theory of Benford's Law ∗ (2011) (91)
- A Survey of Prophet Inequalities in Optimal Stopping Theory (1992) (90)
- An Introduction to Benford's Law (2015) (88)
- One-dimensional dynamical systems and Benford's law (2004) (83)
- Benford’s Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem (2011) (80)
- Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform (2003) (72)
- Strong laws for L- and U-statistics (1996) (65)
- Random-Number Guessing and the First Digit Phenomenon (1988) (59)
- Equitable distribution of indivisible objects (1988) (51)
- Prophet inequalities and order selection in optimal stopping problems (1983) (50)
- Additive Comparisons of Stop Rule and Supremum Expectations of Uniformly Bounded Independent Random Variables (1981) (49)
- The Difficulty of Faking Data (1999) (45)
- Ratio comparisons of supremum and stop rule expectations (1981) (43)
- Determining a Fair Border (1983) (40)
- Fusions of a Probability Distribution (1992) (39)
- Conflations of probability distributions (2008) (37)
- Stop rule inequalities for uniformly bounded sequences of random variables (1983) (36)
- Newton's Method Obeys Benford's Law (2007) (34)
- How to combine independent data sets for the same quantity. (2010) (34)
- On the Existence of Good Markov Strategies (1979) (33)
- Optimal-partitioning inequalities for nonatomic probability measures (1986) (31)
- Partitioning General Probability Measures (1987) (30)
- Minimax-Optimal Stop Rules and Distributions in Secretary Problems (1991) (22)
- Towards a better definition of the kilogram (2007) (22)
- The Existence of Good Markov Strategies for Decision Processes with General Payoffs (1987) (22)
- Maximin share and minimax envy in fair-division problems (2003) (21)
- Regularity of Digits and Significant Digits of Random Variables (2005) (18)
- The First Digital Phenomenon (1998) (17)
- A Prophet Inequality Related to the Secretary Problem (1992) (16)
- An Exact Value for Avogadro's Number (2007) (15)
- One-Sided Refinements of the Strong Law of Large Numbers and the Glivenko-Cantelli Theorem (1992) (15)
- Erratum to “On the relationship between convergence in distribution and convergence of expected extremes” (1994) (15)
- Constructions of Random Distributions via Sequential Barycenters (1998) (14)
- The mathematics of Benford’s law: a primer (2019) (13)
- Hubble’s Law Implies Benford’s Law for Distances to Galaxies (2014) (13)
- SHARP INEQUALITIES FOR OPTIMAL STOPPING WITH REWARDS BASED ON RANKS (1992) (13)
- On the Basic Representation Theorem for Convex Domination of Measures (1998) (13)
- Health care: a social contract in transition. (1996) (12)
- Mathematical Devices for Getting a Fair Share (2000) (12)
- Scale-Distortion Inequalities for Mantissas of Finite Data Sets (2008) (12)
- Knowing When to Stop: (2021) (12)
- Criticisms of the proposed “new SI” (2011) (12)
- A generalization of Lyapounov’s convexity theorem to measures with atoms (1987) (12)
- Decision Processes with Total-Cost Criteria (1981) (11)
- An Evolutionary Theory for the Variability Hypothesis (2017) (11)
- Finite-State Markov Chains Obey Benford's Law (2010) (11)
- A stronger conclusion to the classical ham sandwich theorem (2009) (11)
- Prophet inequalities for averages of independent non-negative random variables (1986) (10)
- Optimal-Partitioning Inequalities in Classification and Multi-Hypotheses Testing (1989) (10)
- The cultural and philosophical foundations of normative medical ethics. (1994) (10)
- A Note on Distributions of True versus Fabricated Data (1996) (9)
- The Advantage of Using Non-Measurable Stop Rules (1983) (9)
- Fundamental Flaws in Feller's Classical Derivation of Benford's Law (2010) (9)
- Conditional Generalizations of Strong Laws Which Conclude the Partial Sums Converge Almost Surely (1982) (9)
- Selection of order of observation in optimal stopping problems (1985) (9)
- Finite-state Markov Chains (2010) (9)
- Is there an objective need for an urgent redefinition of the kilogram and mole? (2013) (8)
- Cutting Cakes Carefully (2010) (8)
- Common Hyperplane Medians for Random Vectors (1988) (8)
- Moment-based minimax stopping functions for sequences of random variables (1992) (8)
- A sharp partitioning-inequality for non-atomic probability measures based on the mass of the infimum of the measures (1987) (7)
- A proportionality principle for partitioning problems (1988) (7)
- Counterexamples in the Theory of Fair Division (2009) (7)
- Gender Gaps in Science: The Creativity Factor (2012) (7)
- Prophet inequalities for parallel processes (1989) (7)
- Partitioning Inequalities in Probability and Statistics (1992) (6)
- Random Probability Measures with Given Mean and Variance (2002) (6)
- goal problems in gambling theory (2009) (6)
- On the game of googol (1992) (6)
- Linear search with bounded resources (1991) (6)
- Strongly-Consistent, Distribution-Free Confidence Intervals for Quantiles (1997) (5)
- On maximizing the average time at a goal (1984) (5)
- Equipartitioning common domains of non-atomic measures (1985) (5)
- Minimax-Optimal Strategies for the Best-Choice Problem When a Bound is Known for the Expected Number of Objects (1994) (5)
- Bayesian Posteriors Without Bayes' Theorem (2012) (4)
- A stronger form of the Borel-Cantelli Lemma (1983) (3)
- Common hyperplane medians for random variables (1988) (3)
- Advances in Stochastic Inequalities (1999) (3)
- A generalization of Lévy's concentration-variance inequality (1990) (3)
- For Women to Think Mathematically, Colleges Should Think Creatively - Commentary - The Chronicle of Higher Education (2012) (3)
- A Theory for Gender Differences in Variability (2017) (3)
- Constructing Random Probability Distributions (2004) (2)
- Extreme-Value Moment Goodness-of-Fit Tests (2001) (2)
- Unresolved concerns about the “new SI” (2011) (2)
- Expectation Inequalities Associated With Prophet Problems (1987) (2)
- Hoisting the Black Flag (2010) (2)
- SEQUENTIAL BARYCENTER ARRAYS AND RANDOM PROBABILITY MEASURES (2001) (2)
- Optimal stopping problems with generalized objective functions (1990) (2)
- The kilogram cabal (2012) (2)
- Quantile‐locating functions and the distance between the mean and quantiles (1993) (2)
- Counterexamples in Cake-Cutting (2008) (2)
- Characterization of the Bayesian Posterior Distribution in Terms of Self-information (2017) (2)
- Monotonically Improving Limit-Optimal Strategies in Finite-State Decision Processes (1987) (2)
- A CHARACTERISATION OF NEWTON MAPS (2006) (2)
- Cutting Cakes Correctly (2008) (1)
- What is Benford's Law? (2017) (1)
- Extreme Tail Ratios and Overrepresentation among Subpopulations with Normal Distributions (2022) (1)
- A Widespread Error in the Use of Benford's Law to Detect Election and Other Fraud (2020) (1)
- An optimal method to combine results from different experiments (2009) (1)
- An elementary mathematical theory for the variability hypothesis (2017) (1)
- Advances in Stochastic Inequalities: Ams Special Session on Stochastic Inequalities and Their Applications, October 17-19, 1997, Georgia Institute of Technology (1999) (1)
- A Note on Over- and Under-Representation Among Populations with Normally-Distributed Traits (2021) (1)
- Levy-like Continuity Theorems for Convergence in Distribution (2002) (1)
- Correction to “prophet inequalities for averages of independent non-negative random variables” (1996) (1)
- You Have a Right to Information (2006) (1)
- Gender Gaps in the Mathematical Sciences: The Creativity Factor (2011) (1)
- A Proposed Exact Integer Value for Avogadro's Number (2006) (1)
- On the Oval Shapes of Beach Stones (2020) (1)
- How to Publish Counterexamples in 1 2 3 Easy Steps (2009) (1)
- Fusions of a Probability Distribution: Preliminary Announcement (1993) (1)
- Modeling the evolution of differences in variability between sexes (2020) (1)
- Conflations of Probability Distributions: An Optimal Method for Consolidating Data from Different Experiments (2008) (1)
- Chapter Two. A Short Introduction to the Mathematical Theory of Benfordʼs Law (2015) (1)
- The Signifilcant Digit Phenomenon (2009) (1)
- 4. The Uniform Distribution and Benford’s Law (2015) (0)
- Mathematical Devices for Getting a Fair Share » American Scientist The Ham Sandwich Theorem (2008) (0)
- ST ] 1 M ar 2 01 2 Bayesian Posteriors Without Bayes ’ Theorem (0)
- The Urgency in Redefining the Kilogram and Mole (2013) (0)
- Almost sure stability of partial sums of uniformly bounded random variables (1983) (0)
- 10. Applications of Benford’s Law (2015) (0)
- Mathematical Devices for Getting a Fair Share Whether the problem involves an estate, a cake or an opportunity for regency, solutions now exist for obtaining an equitable division (2016) (0)
- Testing for Links Between Geomagnetic Field Variability and Climate Change (2006) (0)
- A characterization of Newton maps (2014) (0)
- The Right To Die: Legal and Ethical Considerations (1992) (0)
- Slicing Sandwiches, States, and Solar Systems: Can Mathematical Tools Help Determine What Divisions Are Provably Fair? (2019) (0)
- Recurring Errors in Studies of Gender Differences in Variability (2023) (0)
- Partitioning inequalities and prophet inequalities (1986) (0)
- EQUITABLE DISTRIBUTIOI'l OF INDIVISIBLE OBJECTS (2010) (0)
- Hubble’s Law Implies Benford’s Law for Distances to Galaxies (2016) (0)
- Pushing Limits: From West Point to Berkeley & Beyond (2017) (0)
- Goal and Average Cost Problems in Decision Processes with Finite State Spaces. (1980) (0)
- Several questions in probability theory (1999) (0)
- Slicing Sandwiches, States, and Solar Systems (2018) (0)
- Slicing Sandwiches, States, and Solar Systems: (2019) (0)
- 8. Real-valued Random Processes (2015) (0)
- 2. Significant Digits and the Significand (2015) (0)
- 3. The Benford Property (2015) (0)
- Fundamental Errors in Kane and Mertz's Alleged Debunking of Greater Male Variability in Mathematics Performance (2021) (0)
- THE PARTIAL SUMS CONVERGE ALMOST SURELY (2006) (0)
- 5. Scale-, Base-, and Sum-Invariance (2015) (0)
- On the construction of generalized measure preserving transformations with given marginals (1992) (0)
- The mathematics of Benford’s law: a primer (2020) (0)
- Numerical Approximation of Universal Constants and Extremal Distributions Example (0)
- Comparisons of supremum and stop rule expectations (1980) (0)
- 9. Finitely Additive Probability and Benford’s Law (2015) (0)
- Gender Gaps in Science: The Creativity Factor (2012) (0)
- J an 2 00 9 Counterexamples in the Theory of Fair Division (2009) (0)
- 09 Counterexamples in the Theory of Fair Division (2009) (0)
- 6. Real-valued Deterministic Processes (2015) (0)
- Mathematical sciences : optimization and conditioning principles for discrete parameter stochastic processes (1987) (0)
- Alternative empirical distributions based on weighted linear combinations of order statistics (2000) (0)
- 7. Multi-dimensional Linear Processes (2015) (0)
- OF THE STRONG LAW OF LARGE NUMBERS AND THE GLIVENKO-CANTELLI THEOREM ! Dedicated to Lester Dubins on his seventieth birthday (2006) (0)
- Obituary for Lester Eli Dubins, 1921-2010 (2010) (0)
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