Lawrence Shepp | Academic Influence

Lawrence Shepp's AcademicInfluence.com Rankings

Lawrence Shepp

Mathematics

#2228

World Rank

#3475

Historical Rank

#889

USA Rank

Measure Theory

#387

World Rank

#567

Historical Rank

#165

USA Rank

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Mathematics

Lawrence Shepp's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Lawrence Shepp Influential?

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According to Wikipedia, Lawrence Alan Shepp was an American mathematician, specializing in statistics and computational tomography. Shepp obtained his PhD from Princeton University in 1961 with a dissertation titled Recurrent Sums of Random Variables. His advisor was William Feller. He joined Bell Laboratories in 1962. He joined Rutgers University in 1997. He joined University of Pennsylvania in 2010.

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Lawrence Shepp'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

Maximum Likelihood Reconstruction for Emission Tomography (1983) (4439)
The Fourier reconstruction of a head section (1974) (2102)
OPTIMAL PATHS FOR A CAR THAT GOES BOTH FORWARDS AND BACKWARDS (1990) (1369)
A Statistical Model for Positron Emission Tomography (1985) (935)
A Mathematical Theory of Network Interference and Its Applications (2009) (622)
A Variational Problem for Random Young Tableaux (1977) (572)
Inability of Humans to Discriminate between Visual Textures That Agree in Second-Order Statistics—Revisited (1973) (406)
On Skew Brownian Motion (1981) (314)
Radon-Nikodym Derivatives of Gaussian Measures (1966) (296)
Some solvable stochastic control problemst (1980) (283)
Probability Essentials (2002) (278)
Reconstructing Interior Head Tissue from X-Ray Transmissions (1974) (261)
Optimal reconstruction of a function from its projections (1975) (257)
The Russian Option: Reduced Regret (1993) (246)
Risk vs. profit potential: A model for corporate strategy (1996) (236)
COMPUTERIZED TOMOGRAPHY: THE NEW MEDICAL X-RAY TECHNOLOGY (1978) (226)
Ordered cycle lengths in a random permutation (1966) (216)
Limit Distributions of Self-normalized Sums (1973) (192)
Optimal harvesting of stochastically fluctuating populations (1998) (166)
Bandit problems with infinitely many arms (1997) (153)
A New Look at Pricing of the ”Russian Option“ (1995) (140)
Covering the circle with random ARCS (1972) (134)
The Complex Zeros of Random Polynomials (1995) (127)
On the best finite set of linear observables for discriminating two Gaussian signals (1967) (124)
Optimal Stopping Rules and Maximal Inequalities for Bessel Processes (1994) (123)
Sample behavior of Gaussian processes (1972) (113)
The joint density of the maximum and its location for a Wiener process with drift (1979) (109)
Explicit Solutions to Some Problems of Optimal Stopping (1969) (109)
A First Passage Problem for the Wiener Process (1967) (105)
On the Lower Tail of Gaussian Seminorms (1979) (104)
On the performance of wide-bandwidth signal acquisition in dense multipath channels (2005) (103)
The Discrete Radon Transform and Its Approximate Inversion Via Linear Programming (1997) (90)
Covering the line with random intervals (1972) (88)
On the supremum of a Gaussian process (1970) (85)
Some optimal stopping problems with nontrivial boundaries for pricing exotic options (2001) (85)
Monte Carlo generation of self-avoiding walks with fixed endpoints and fixed length (1990) (84)
Maximum Likelihood PET with Real Data (1984) (84)
Embedding nonnegative definite Toeplitz matrices in nonnegative definite circulant matrices, with application to covariance estimation (1989) (82)
Drift rate control of a Brownian processing system (2005) (82)
Distinguishing a Sequence of Random Variables from a Translate of Itself (1965) (80)
On the SNR penalty of MPSK with hybrid selection/maximal ratio combining over i.i.d. Rayleigh fading channels (2003) (77)
The tuning fork artifact in computerized tomography (1979) (77)
Sets uniquely determined by projections on axes II Discrete case (1991) (72)
Two-dimensional remote air-pollution monitoring via tomography. (1979) (70)
Vestigial effects of singular potentials in diffusion theory and quantum mechanics (1975) (66)
A Local Limit Theorem (1964) (62)
Symmetric random walk (1962) (61)
Stochastic model of protein-protein interaction: why signaling proteins need to be colocalized. (2004) (61)
Entropy of the Sum of Independent Bernoulli Random Variables and of the Multinomial Distribution (1981) (59)
Real Zeros of Random Polynomials (1968) (59)
Inequalities and Positive-Definite Functions Arising from a Problem in Multidimensional Scaling (1994) (57)
Limited Angle Reconstruction in Tomography via Squashing (1987) (56)
On the number of leaves of a euclidean minimal spanning tree (1987) (55)
The XYZ Conjecture and the FKG Inequality (1982) (55)
The set of real numbers left uncovered by random covering intervals (1985) (54)
First Passage Time for a Particular Gaussian Process (1971) (53)
On Contingent Claims that Insure Ex-post Optimal Stock Market Timing (1979) (52)
Sets Uniquely Determined by Projections on Axes I (1990) (49)
Conditions for absolute continuity between a certain pair of probability measures (1970) (48)
A Limit Law Concerning Moving Averages (1964) (47)
A Stochastic Model of Fragmentation in Dynamic Storage Allocation (1985) (47)
A Note on Conditional Exponential Moments and Onsager-Machlup Functionals (1992) (46)
A path space picture for Feynman-Kac averages (1974) (45)
Remarks on the maximum correlation coefficient (2001) (42)
The Stationary Distribution of Reflected Brownian Motion in a Planar Region (1985) (42)
Sets of Uniqueness and Additivity in Integer Lattices (1999) (42)
The FKG Inequality and Some Monotonicity Properties of Partial Orders (1980) (40)
On the integral of the absolute value of the pinned Wiener process-calculation of its probability de (1982) (40)
On the entropy of DNA: algorithms and measurements based on memory and rapid convergence (1995) (40)
New brain atlas—Mapping the human brain in vivo with 7.0 T MRI and comparison with postmortem histology: Will these images change modern medicine? (2008) (38)
Image Models (and their Speech Model Cousins) (1996) (37)
Simulated reconstruction artifacts in computerized x ray tomography (1977) (37)
Error Performance of Ultrawideband Systems in a Poisson Field of Narrowband Interferers (2006) (33)
A model for stock price fluctuations based on information (2002) (32)
Connectedness of certain random graphs (1989) (32)
Existence of Probability Measures With Given Marginals (1991) (32)
Why the variance (1998) (31)
A probabilistic model for the time to unravel a strand of dna (1988) (28)
Continuity of Gaussian processes (1970) (27)
Monotone Optimal Multipartitions Using Schur Convexity with Respect to Partial Orders (1993) (26)
A Short Course In Computational Probability And Statistics (1971) (26)
On prediction of moving-average processes (1980) (26)
Single-channel user-capacity calculations for self-organizing cellular systems (1994) (26)
The Sperner Capacity of Linear and Nonlinear Codes for the Cyclic Triangle (1993) (25)
Rapid three-dimensional functional magnetic resonance imaging of the initial negative BOLD response. (2008) (25)
Computerized Tomography and Nuclear Magnetic Resonance (1980) (25)
First-passage time for a particular stationary periodic Gaussian process (1976) (24)
The correlation of the maxima of correlated Brownian motions (2006) (24)
Optimal switching between a pair of Brownian motions (1990) (24)
Hiring and firing optimally in a large corporation (1996) (23)
Self-avoiding random loops (1988) (23)
A generalization of the two-dimensional prolate spheroidal wave function method for nonrectilinear MRI data acquisition methods (2006) (22)
Real Zeros of Random Polynomials. II (1968) (22)
Normal Functions of Normal Random Variables (1962) (21)
Fast Functional Magnetic Resonance Imaging via Prolate Wavelets (2000) (20)
Binary communication over the Gaussian channel using feedback with a peak energy constraint (1969) (20)
The advantage of capitalism vs. socialism depends on the criterion (2006) (19)
Two dimensional prolate spheroidal wave functions for MRI. (2002) (19)
PROBABILISTIC ANALYSIS OF PACKING AND PARTITIONING ALGORITHMS (1993) (19)
On the Supremum of $S_n/n$ (1970) (18)
On the Number of Fixed Pairs in a Random Instance of the Stable Marriage Problem (2007) (18)
Recurrent random walks with arbitrarily large steps (1964) (18)
A Queueing Analysis of Hashing with Lazy Deletion (1987) (18)
Explicit sufficient invariants for an interacting particle system (1998) (17)
A Statistical Model for Positron Emission Tomography: Rejoinder (1985) (17)
On the probability of covering the circle by random arcs (1987) (17)
GAUSSIAN MEASURES IN FUNCTION SPACE (1966) (17)
A surprising Radon transform result and its application to motion detection (1999) (16)
Yule's "Nonsense Correlation" Solved! (2016) (16)
ON OPTIMALITY OF BOLD PLAY FOR PRIMITIVE CASINOS IN THE PRESENCE OF INFLATION (2005) (15)
A matrix variance inequality (2005) (14)
On the Sum of Symmetric Random Variables (1983) (14)
Online Selection of Alternating Subsequences from a Random Sample (2011) (14)
A tandem storage system and its diffusion limit (1984) (13)
Acknowledgment of Priority: On the Integral of the Absolute Value of the Pinned Wiener Process (1991) (13)
On a problem of ammunition rationing (1991) (13)
A poisson process whose rate is a hidden Markov process (1982) (13)
An Unfriendly Seating Arrangement (1962) (13)
Wiener Integrals Associated with Diffusion Processes (1968) (13)
Exponential estimates for convex norms and some applications (1993) (13)
THE SINGULARITY OF GAUSSIAN MEASURES IN FUNCTION SPACE. (1964) (12)
The Match Set of a Random Permutation Has the FKG Property (1988) (12)
An Inequality for Walks in a Graph (1983) (12)
REVISITING A THEOREM OF L.A. SHEPP ON OPTIMAL STOPPING (2015) (11)
Optimal Strategy for the Vardi Casino with Interest Payments (2007) (11)
Spatial Regulation and the Rate of Signal Transduction Activation (2006) (10)
THE ACQUISITION AND STATISTICAL ANALYSIS OF RAPID 3D FMRI DATA (2008) (10)
Optimal Sequential selection of n random variables under a constraint (1984) (10)
A secretary problem with two decision makers (1997) (10)
The necklace process (2008) (10)
Computer tomography of PKM and AKM exit cones (1986) (10)
On the Asymptotic Optimality of First-Fit Storage Allocation (1985) (10)
On the divergence of certain integrals of the Wiener process (1974) (10)
Risk-Taking, Financial Distress and Innovation (2011) (10)
Closed Form Characteristic Functions for Certain Random Variables Related to Brownian Motion (1991) (9)
A bold strategy is not always optimal in the presence of inflation (2004) (9)
A Convolution Inequality (1989) (8)
BOLD PLAY AND THE OPTIMAL POLICY FOR VARDI'S CASINO (2006) (8)
An Optimal Acceptance Policy for an Urn Scheme (1998) (8)
Expected Number of Real Zeros of a Random Polynomial with Independent Identically Distributed Symmetric Long-Tailed Coefficients (2011) (8)
On Optimal Retirement (2014) (8)
A one-dimensional Poisson growth model with non-overlapping intervals (2000) (7)
Stochastic Models of Queue Storage (1988) (7)
New Insights into Emission Tomography Via Linear Programming (1992) (7)
A Barrier Version of the Russian Option (2002) (7)
Optimal Sequential Selection of Secretaries (1985) (6)
ROC AND THE BOUNDS ON TAIL PROBABILITIES VIA THEOREMS OF DUBINS AND F. RIESZ. (2009) (6)
Parking Cars with Spin but no Length (1999) (6)
On the FKB conjecture for disjoint intersections (1991) (6)
On the Number of Crossings of Empirical Distribution Functions (1986) (6)
A New Design for High Speed Computerized Tomography (1979) (5)
A Sufficiency Paradox (2005) (5)
CONTINUOUS BLOOD GLUCOSE MONITORING: A BAYES-HIDDEN MARKOV APPROACH (2013) (5)
An inequality conjectured by Hajela and Seymour arising in combinatorial geometry (1985) (5)
Strong Decomposition of Random Variables (2007) (5)
Enumerating pairs of permutations with the same up-down form (1985) (5)
Stationary Gaussian Markov processes as limits of stationary autoregressive time series (2017) (5)
The Ahlswede-Daykin Theorem (2000) (5)
From Convolution Algorithms To Maximum Likelihood (1990) (4)
On occupation times of the first and third quadrants for planar Brownian motion (2016) (4)
Several Colorful Inequalities (2006) (4)
Admissibility as a Touchstone (1987) (4)
Problem of the Nile (1989) (4)
The “Point” Goalie Problem (2003) (3)
Error Rates on a Data Link with Nonlinear Regeneration (1973) (3)
Optimal Harvesting in the Presence of Density - Dependent Extinction Probabilities (2001) (3)
The Russian option under conditions of a possible price 'freeze' (2001) (3)
Characterization of Probability Law by Absolute Moments of Its Partial Sums (1996) (3)
Properties of the mean acquisition time for wide-bandwidth signals in dense multipath channels (Keynote Address) (2005) (3)
A birth and death model of neuron firing (1974) (3)
DIFFUSION, CELL MOBILITY, AND BANDLIMITED FUNCTIONS* (1984) (3)
B-stability (2005) (2)
A Resistance Problem (1984) (2)
Remarks and open problems in the area of the FKG inequality (1984) (2)
First passage time problems with applications to synchronization (2012) (2)
Chebyshev Polynomials and G-Distributed Functions of F-Distributed Variables (2004) (2)
Expected number of real zeros of a random polynomial with independent identically distributed symmetric long-tailed coefficients@@@Expected number of real zeros of a random polynomial with independent identically distributed symmetric long-tailed coefficients (2010) (2)
Linear Programming in Tomography, Probability, and Finance (1997) (2)
Symmetrization of binary random variables (1997) (2)
Some inequalities concerning random subsets of a set (1987) (2)
HIGH RESOLUTION CT SCANNING OF THE NECK (1977) (2)
Statistical thinking: From Tukey to Vardi and beyond (2007) (2)
Pick Up Sticks (2012) (2)
Dividends Versus Reinvestments in Continuous Time: A More General Model (2010) (2)
On the Properties of a Tree-Structured Server Process (1991) (2)
Fractional insurance: strategies to deal with huge potential losses (2000) (1)
Option pricing in a world with arbitrage (2001) (1)
Essentially Discontinuous Functions: 10668 (1999) (1)
Probability Problems of Dobrushin Type (2010) (1)
The estimation of some determinants of Toeplitz-type (1965) (1)
A Parking Problem (1960) (1)
A counterexample to localization for multiple fourier series (1987) (1)
The Expected Value of a Product (1961) (1)
Problems for Solution: 4977-4982 (1961) (1)
Report: Computed tomography of PKM and AKM exit cones (1986) (1)
Some Problems in Probabilistic Tomography (1997) (1)
On the Time for Brownian Motion to Visit Every Point on a Circle (2013) (1)
An inequality that subsumes the inequalities of Radon, Bohr, and Shannon (2013) (1)
Optimal tracking of brownian motion (1995) (1)
Advanced Problems: 5330-5339 (1965) (1)
Synchronous service on a circle (1991) (1)
A Probabilistic Inequality (1978) (1)
Olbers' Paradox, Wireless Telephones, and Poisson Random Sets: Is the Universe Finite? (2003) (1)
Component-level redundancy is better than system-level redundancy for channel graphs (1985) (1)
Notes: Correction to "Radon-Nikodym Derivatives of Gaussian Measures" (1977) (1)
How to Gamble If You Must ( and if you really hate to gamble ) (2009) (1)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The Russian option under conditions of a possible price 'freeze' (2001) (1)
A note on the conditional distribution of X when |X − y| is given (1994) (1)
On the evolution of islands (1989) (1)
C-5 Explicit sufficient invariants for an interacting particle system(確率・確率過程論)(日本統計学会第69回大会記録) (2001) (0)
JPR volume 51 issue 4 Cover and Back matter (2014) (0)
A martingale approach to the question of fiscal stimulus (2014) (0)
Asymptotic Behavior of an n-Fold Integral (1982) (0)
The General Stationary Gaussian Markov Process (2014) (0)
Tracking a wiener process with a process of finite energy (1989) (0)
The distribution of the splitting time for a DNA strand (1987) (0)
Maximizing the discounted survival probability in Vardi's casino (2011) (0)
Abram Meerovich Kagan (on his 70th birthday) (2007) (0)
Discussion: Projection Pursuit (1985) (0)
Tail hypotheses in the signal plus noise model (1999) (0)
The Generalized 2D-PSWF Method for Tracking Dynamic Signal with High Temporal Resolution (2005) (0)
Updating Hardy, Littlewood and Pólya with Linear Programming (2009) (0)
A Variation of a Theorem of Kakutani (1966) (0)
Conference in Genetics , Probability , and Statistics June 17 & 18 , 2011 Main Quad , Building 370 , Room 370 Stanford University ABSTRACTS (0)
On Optimal Retirement (How to Retire Early) (2016) (0)
Editorial (1994) (0)
Gaussian Convex Hull: 11120 (2006) (0)
An application of group random walk theory to random walks in Euclidean space (1965) (0)
What if the squares are restricted to lie inside the larger square ? (2003) (0)
A Functional Equation (L. A. Shepp) (1972) (0)
On The Coefficients Of a Trigonometric Polynomial (1963) (0)
Image and Speech and EM (1996) (0)
An Asymptotic Result on a Zero of a Function (1963) (0)
Representing a function of two variables as a superposition over angles of ridge functions with a given shape via linear programming (2008) (0)
Problems for Solution: E1281-E1285 (1957) (0)
Mathematical and computer modelling reports: A probabilistic model for the time to unravel a strand of DNA (1989) (0)
The Complex Zeros of Random Polynomials Author ( s ) : (2008) (0)
Families of distribution functions with a scale-invariance property (1980) (0)
Spatial control of signal transduction activation: a brownian motion model of receptor dimerization on a spherical cell surface (2005) (0)
A Functional Equation (1971) (0)
THE MATHEMATICS OF COMPUTERIZED TOMOGRAPHY (1987) (0)
Letter to the Editor (1976) (0)
Stochastic analysis of storage fragmentation (1986) (0)
A Pie Problem (1960) (0)
The Limit of a Product (D. J. Newman and L. A. Shepp) (1966) (0)
Elementary Problems: E3367-E3372 (1990) (0)
The Role of Information Theory in Emission Tomography (1993) (0)
An Asymptotic Expansion (1964) (0)
A View Of Reconstruction Tomography: XCT, ECT, NMRCT (1986) (0)
A Random Walk in a Hyper-Cube (R. H. G. Mitchell and R. F. Wheeling) (1963) (0)
Elementary Problems: E2495,E2516-E2521 (1975) (0)
Larry Shepp Interview October 17, 1988 (1988) (0)
Automatic recognition of bone for x-ray bone densitometry (1991) (0)
BANDIT PROBLEMS WITH INFINITELY MANY ARMS 1 (0)
International Statistical Institute ( ISI ) and Bernoulli Society for Mathematical Statistics and Probability Remarks on the Maximum Correlation Coefficient Author ( s ) : (2008) (0)
ESTIMATING DEMAND FOR THE NATIONAL ADVANCED DRIVING SIMULATOR (2000) (0)
Ultrawideband Communications in the Presence of Spatially Distributed Narrowband Interferers (2006) (0)
A Coin Tossing Problem (D. J. Newman) (1963) (0)
Book reviews - Medical imaging systems (1984) (0)
Advanced Problems: 5245-5252 (1964) (0)
An Explicit Solution to a Problem in Nonlinear Stochastic Control Involving the Wiener Process (1983) (0)
Problems for Solution: 4947-4952 (1961) (0)
Problems for Solution: 4822-4827 (1959) (0)
An inequality that subsumes the inequalities of Radon, Bohr, and Shannon (2012) (0)
On the Role of Computers and Mathematical Statistics in Tomography (1983) (0)
Some problems in probabilistic tomography@@@Some problems in probabilistic tomography (1996) (0)
a Model for Phase Transitions akin to the Ising Model (1994) (0)
On the Volatility of the Correlation of Two Independent Wiener Processes (2016) (0)
The Limit of a Product (1966) (0)
Supremum of an Integral (1971) (0)
Problems for Solution: E1446-E1449 (1961) (0)
A new Radon transform result (1997) (0)
The exact information complexity of Indian poker (1990) (0)
A Conversation with Yuri Vasilyevich Prokhorov (1992) (0)
Issue Information (2021) (0)
Is mathematics able to give insight into current questions in finance, economics and politics? (2014) (0)
Elementary Problems: E1905-E1914 (1966) (0)
Eliminating a loophole in the National Flood Insurance Program (2016) (0)
Абрам Меерович Каган (к 70-летию со дня рождения)@@@Abram Meerovich Kagan (on his 70th birthday) (2007) (0)
Brownian bridge asymptotics for random mappings Independent process approximations for random combinatorial structures Refined approximations for the Ewens sampling formula The height of a random partial order : concentration of measure Comparison techniques for card shuffling (0)
Problems for Solution: 4983-4988 (1961) (0)
Hiring and ring optimally in a large corporationLarry (1996) (0)
Issue Information (2021) (0)
STATIONARY PERIODIC GAUSSIAN PROCESS (1976) (0)
Some linear models are necessarily parametric (1998) (0)
12-1984 Diffusion , Cell Mobility , and Bandlimited Functions (2017) (0)
Bernoulli Component of a Sum: 10699 (2000) (0)
Linear and non-linear codes for a special channel (1992) (0)
Fiscal stimulus as an optimal control problem (2021) (0)
Image Models (2011) (0)
A Boundedness Condition (1977) (0)
Asymptotic Conjecture for a Nonlinear Differential Equation (1972) (0)

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What Schools Are Affiliated With Lawrence Shepp?

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