Franz Thomas Bruss | Academic Influence

Franz Thomas Bruss's AcademicInfluence.com Rankings

Franz Thomas Bruss

Mathematics

#3532

World Rank

#5193

Historical Rank

Measure Theory

#4053

World Rank

#4776

Historical Rank

mathematics Degrees

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Mathematics

Franz Thomas Bruss's Degrees

PhD Mathematics University of Cologne
Masters Mathematics University of Cologne
Bachelors Mathematics University of Cologne

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Why Is Franz Thomas Bruss Influential?

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According to Wikipedia, Franz Thomas Bruss is Emeritus Professor of Mathematics at the Université Libre de Bruxelles, where he had been director of "Mathématiques Générales" and co-director of the probability chair, and where he continues his research as invited professor. His main research activities in mathematics are in the field of probability:1/e-law of best choiceOdds algorithm of optimal stoppingGalton–Watson processesResource Dependent Branching ProcessesBorel–Cantelli lemmaRobbins' problem Pascal processesBRS-inequality

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Franz Thomas Bruss'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

On the Perception of Time (2009) (250)
Sum the odds to one and stop (2000) (145)
A Unified Approach to a Class of Best Choice Problems with an Unknown Number of Options (1984) (84)
A note on extinction criteria for bisexual Galton-Watson processes (1984) (63)
A note on bounds for the odds theorem of optimal stopping (2003) (50)
‘Wald's Lemma' for sums of order statistics of i.i.d. random variables (1991) (50)
On an optimal selection problem of Cowan and Zabczyk (1987) (48)
A counterpart of the Borel–Cantelli lemma (1980) (44)
Pascal processes and their characterization (1991) (39)
Minimizing the expected rank with full information (1993) (35)
Strategies for Sequential Search and Selection in Real Time (1992) (32)
Multiple buying or selling with vector offers (1997) (32)
What is known about Robbins' Problem? (2005) (31)
Optimal rules for the sequential selection of monotone subsequences of maximum expected length (2001) (31)
On the maximum and its uniqueness for geometric random samples (1990) (31)
On the multiplicity of the maximum in a discrete random sample (2003) (30)
Selecting a sequence of last successes in independent trials (2000) (29)
Embedding optimal selection problems in a Poisson process (1991) (26)
Invariant record processes and applications to best choice modelling (1988) (24)
A Unified Approach to a Class of Optimal Selection Problems with an Unknown Number of Options (1987) (24)
On waiting times to populate an environment and a question of statistical inference (1999) (22)
A Central Limit Theorem for the Optimal Selection Process for Monotone Subsequences of Maximum Expected Length (2004) (22)
Maximal Ambient Noise Levels and Type of Voice Material Required for Valid Use of Smartphones in Clinical Voice Research. (2017) (22)
Stochastic processes with proportional increments and the last-arrival problem (2012) (20)
Half-Prophets and Robbins’ Problem of Minimizing the Expected Rank (1996) (17)
On the Fallacy of the Two-Envelopes-Problem (1996) (16)
The odds algorithm based on sequential updating and its performance (2009) (14)
On the N-tower problem and related problems (2003) (14)
A matrix-analytic approach to the N-player ruin problem (2006) (13)
Conditions for Quasi-Stationarity of the Bayes Rule in Selection Problems with an Unknown Number of Rankable Options (1990) (13)
Resource Dependent Branching Processes and the Envelope of Societies (2012) (13)
High-risk and competitive investment models (2002) (11)
A Continuous-Time Approach to Robbins' Problem of Minimizing the Expected Rank (2009) (11)
Branching Processes with Random Absorbing Process (1978) (10)
Branching processes with random absorbing processes (1978) (10)
The Complete Solution of the Competitive Rank Selection Problem (1998) (9)
Patterns of Relative Maxima in Random Permutations (1984) (8)
Game Theory, Optimal Stopping, Probability and Statistics (2000) (7)
A survey of the linear-search problem (1988) (7)
On an interval splitting problem (1990) (6)
Game theory, optimal stopping, probability and statistics : papers in honor of Thomas S. Ferguson (2000) (6)
The art of a right decision: Why decision makers may want to know the odds-algorithm (2006) (5)
Sharp bounds for winning probabilities in the competitive rank selection problem (1998) (5)
Inverse auctions: Injecting unique minima into random sets (2009) (5)
Optimal stopping on patterns in strings generated by independent random variables (2003) (5)
The Schwarz-Christoffel transformation as a tool in applied probability (2004) (4)
The Switching Problem and Conditionally Specified Distributions (2000) (3)
A New Proof of Williams' Decomposition of the Bessel Process of Dimension Three with a Look at Last-Hitting Times (2015) (3)
Playing a trick on uncertainty (2003) (3)
The 1/e-strategy is sub-optimal for the problem of best choice under no information (2021) (3)
Odds -theorem and monotonicity (2019) (3)
The Theorem of Envelopment and Directives of Control in Resource Dependent Branching Processes (2016) (3)
Finding the best out of n rankable objects. A consecutive thresholds Algorithm (2015) (3)
250 years of “An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F.R.S. communicated by Mr. Price, in a letter to John Canton, A.M.F.R.S.” (2014) (3)
A counterpart of the Borel-Cantelli lemma (1980) (3)
A Mathematical Approach to Comply with Ethical Constraints in Compassionate Use Treatments (2018) (3)
Abel in Holland and a few reflections on the Abel Prize (2011) (2)
Galton-Watson processes and their role as building blocks for branching processes (2021) (2)
The BRS-inequality and its applications (2021) (2)
Testing equality of players in a round-robin tournament (2018) (2)
Sequential selection of the κ best out of n rankable objects (2016) (2)
Equilibrium Equations for Human Populations with Immigration (2018) (2)
A Probabilistic Approach to an Approximation Problem (1982) (1)
Injecting unique minima into random sets and applications to ”Inverse Auctions” (2009) (1)
Optimal Selection, Learning, and Machine Implementation (1992) (1)
How to Apply a Medicament, if its Direct Efficiency is Unknown (1979) (1)
Advances in Best Choice Modelling (1987) (1)
Sequential stopping under different environments of weak information (2016) (1)
Mathematicians' self-confidence and responsibility (2011) (1)
Quick solutions for general best choice problems in continuous time (1998) (1)
Stopping on patterns in strings and applications to optimal search and selection problems (2002) (0)
Sequential selection of the k best out of nrankable objects (2016) (0)
Inflation, Savings, and Diversity of Investments : A Brief Analysis for the Royal Statistical Society of Belgium (2019) (0)
PR ] 1 4 M ay 2 01 9 Odds-Theorem and Monotonicity (0)
Schwarz-Christoffel Transformation and Applications in Applied Probability (2003) (0)
Title Half-prophets and Robbins ' Problem of Minimizing the Expected Rank Permalink (2001) (0)
250 years of “An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F.R.S. communicated by Mr. Price, in a letter to John Canton, A.M.F.R.S.” (2013) (0)
Answer to an open question concerning the $1/e$-strategy for best choice under no information (2020) (0)
Last-Hitting Times and Williams' Decomposition of the Bessel Process of Dimension 3 at its Ultimate Minimum (2013) (0)
Image, Influence and Importance of Mathematics as Directives for Public Awareness (2012) (0)
Minimax solutions for the best choice problem with random freeze times and a random number of options (1994) (0)
Combined Games with Randomly Delayed Beginnings (2021) (0)
Homage to the Abel Prize: Homage to Norway (2005) (0)
Numerical Aspects of Computing Possible Equilibria for Resource Dependent Branching Processes with Immigration (2020) (0)
On invariant record processes and their applications (1987) (0)
Gambling Under Unknown Probabilities as Proxy for Real World Decisions Under Uncertainty (2023) (0)
The BRS-inequality and its Applications A Survey (2020) (0)
NEW RESULTS ON OPTIMAL RULES FOR SELECTING MONOTONE SUBSEQUENCES OF MAXIMAL LENGTH. F. THOMAS BRUSS and FREDDY DELBAEN (2000) (0)
On the $1/e$-strategy for the best-choice problem under no information (2020) (0)
Mathematics and Communication (2009) (0)
The 1/e-strategy is the unique optimal strategy for the best-choice problem under no information (2020) (0)

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