Cyrus Derman | Academic Influence

Cyrus Derman's AcademicInfluence.com Rankings

Cyrus Derman

Mathematics

#1217

World Rank

#2037

Historical Rank

#512

USA Rank

Measure Theory

#1264

World Rank

#1603

Historical Rank

#456

USA Rank

mathematics Degrees

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Mathematics

Cyrus Derman's Degrees

PhD Mathematics Princeton University

Why Is Cyrus Derman Influential?

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According to Wikipedia, Cyrus Derman was an American mathematician and amateur musician who did research in Markov decision process, stochastic processes, operations research, statistics and a variety of other fields. Early life Derman grew up in Collingdale Pennsylvania. He was the son of a grocery store owner who came to the US from Lithuania. As a young boy he was often invited to play the violin at a Philadelphia radio show for talented children. Although his initial dream was to become a concert violinist, in the end he chose to study mathematics. Indeed, after he finished his undergraduate degree at the University of Pennsylvania in music and mathematics, he went on to Columbia University for his graduate work in mathematical statistics. At Columbia he was privileged to work with many of the important US statisticians and probabilists of that time.

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Cyrus Derman'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

Finite State Markovian Decision Processes (1970) (853)
On Sequential Decisions and Markov Chains (1962) (253)
On the Consecutive-k-of-n:F System (1982) (233)
A Sequential Stochastic Assignment Problem (1972) (179)
Probability Models and Applications (2019) (166)
On the Evaluation of a Class of Inventory Policies for Perishable Products Such as Blood (1975) (111)
DENUMERABLE STATE MARKOVIAN DECISION PROCESSES: AVERAGE COST CRITERION. (1966) (110)
A Note on Memoryless Rules for Controlling Sequential Control Processes (1966) (85)
A Renewal Decision Problem (1978) (82)
Replacement of periodically inspected equipment. (An optimal optional stopping rule) (1960) (73)
Non-Parametric Up-and-down Experimentation (1957) (71)
Some contributions to the theory of denumerable Markov chains (1955) (61)
Some Remarks on Finite Horizon Markovian Decision Models (1965) (61)
Optimal Replacement and Maintenance Under Markovian Deterioration with Probability Bounds on Failure (1963) (56)
On the optimal assignment of servers and a repairman (1980) (52)
Asymptotic Optimal Policies for the Stochastic Sequential Assignment Problem (1972) (52)
A solution to a set of fundamental equations in Markov chains (1954) (51)
Inventory Depletion Management (1958) (50)
A Stochastic Sequential Allocation Model (1975) (47)
On minimax surveillance schedules (1961) (46)
Tightened Multi-Level Continuous Sampling Plans (1957) (46)
Ergodic Property of the Brownian Motion Process. (1954) (45)
On Optimal Assembly of Systems (1972) (45)
A SOLUTION TO A COUNTABLE SYSTEM OF EQUATIONS ARISING IN MARKOVIAN DECISION PROCESSES. (1966) (44)
Optimal Repair Allocation in a Series System (1984) (42)
COMPUTING OPTIMAL SEQUENTIAL ALLOCATION RULES IN CLINICAL TRIALS (1986) (41)
On the Use of Replacements to Extend System Life (1984) (35)
Assembly of Systems Having Maximum Reliability (1974) (32)
Constrained Markov Decision Chains (1972) (29)
On Dvoretzky's Stochastic Approximation Theorem (1959) (26)
On the maintenance of systems composed of highly reliable components (1989) (26)
On Sequential Control Processes (1964) (25)
SOME CONTRIBUTIONS TO THE THEORY OF (2016) (25)
SURVEILLANCE OF MULTI-COMPONENT SYSTEMS: A STOCHASTIC TRAVELING SALESMAN'S PROBLEM. (1966) (23)
THE STRONG LAW OF LARGE NUMBERS WHEN THE FIRST MOMENT DOES NOT EXIST. (1955) (22)
CONTINUOUS SAMPLING PROCEDURES WITHOUT CONTROL (1959) (21)
MARKOVIAN SEQUENTIAL CONTROL PROCESSES-DENUMERABLE STATE SPACE (1965) (21)
An Improved Estimator of σ in Quality Control (1995) (21)
An Application of Chung's Lemma to the Kiefer-Wolfowitz Stochastic Approximation Procedure (1956) (20)
A Markovian Decision Model for a Joint Replacement and Stocking Problem (1967) (20)
Optimal System Allocations with Penalty Costs (1976) (18)
Stable sequential control rules and Markov chains (1963) (16)
A NOTE ON THE OPTIMAL DEPLETION OF INVENTORY (1959) (15)
Renewal Decision Problem-Random Horizon (1979) (14)
Statistical Aspects of Quality Control (1996) (13)
Development and Evaluation of Surveillance Sampling Plans (1958) (13)
SOME ASYMPTOTIC DISTRIBUTION THEORY FOR MARKOV CHAINS WITH A DENUMERABLE NUMBER OF STATES (1956) (13)
Adaptive disposal models (1979) (11)
A Note on First Passage Times in Birth and Death and Nonnegative Diffusion Processes. (1983) (9)
Optimal Allocations in the Construction of k-Out-of-n Reliability Systems (1974) (7)
Non-recurrent random walks. (1956) (7)
A Simple Allocation Problem (1959) (7)
On the Comparison of two Software Relibility Estimators (1988) (6)
On Renewal Decisions. (1978) (5)
Remark Concerning Two-State Semi-Markov Processes (1961) (5)
Technical Note - On the Stochastic Ordering of Markov Chains (1975) (4)
On getting close to but not beyond a boundary. (1969) (4)
On Sampling Inspection in the Presence of Inspection Errors (1987) (3)
ON OPTIMAL SURVEILLANCE SCHEDULES (1960) (3)
Reliability for a System with Dependent Components (1995) (3)
On the Candidate Problem with a Random Number of Candidates. (1979) (3)
An alternative proof of the IFRA property of some shock models (1980) (2)
Inspections with Unknown Detection Probabilities. (1983) (2)
Prematurely Terminated Sequential Tests for MIL-STD 781C. (1984) (2)
Optimal repair allocation in a series system expected discounted operation time criterion (1987) (2)
Optimal Allocation of Resources in Systems. (1974) (1)
Optimal Selling When the Price Distribution is Unknown. (1977) (1)
Review: D. R. Cox, Renewal Theory (1964) (1)
ON THE FEASIBILITY OF USING A MULTIPLE LINEAR REGRESSION MODEL FOR VERIFYING A DECLARED INVENTORY (1958) (1)
Review of Probability Models and Applications (1994) (1)
A note on nonrecurrent random walks (1956) (0)
OPTIMAL REPAIR ALLOCATION IN A SERIES SYSTEM * t (2005) (0)
P(Yt+l= j I Yo, Ao, * .*, Yt = i, At=dik) (2016) (0)
Computational Methods of Applied Probability in Business Analytics In Memory of (2012) (0)
Review: G. De Leve, Generalized Markovian Decision Processes-Parts I and II (1966) (0)
Letter to the Editor - Acknowledgment (1976) (0)
A NOTE ON NONRECURRENT RANDOM WALKS 1 (2010) (0)
SERVERS AND A REPAIRMAN (1980) (0)

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