Leonard E. Baum

10.9k total citations · 4 hit papers
24 papers, 7.0k citations indexed

About

Leonard E. Baum is a scholar working on Mathematical Physics, Management Science and Operations Research and Finance. According to data from OpenAlex, Leonard E. Baum has authored 24 papers receiving a total of 7.0k indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Mathematical Physics, 7 papers in Management Science and Operations Research and 6 papers in Finance. Recurrent topics in Leonard E. Baum's work include Stochastic processes and statistical mechanics (6 papers), Stochastic processes and financial applications (6 papers) and Probability and Risk Models (6 papers). Leonard E. Baum is often cited by papers focused on Stochastic processes and statistical mechanics (6 papers), Stochastic processes and financial applications (6 papers) and Probability and Risk Models (6 papers). Leonard E. Baum collaborates with scholars based in United States. Leonard E. Baum's co-authors include Ted Petrie, Norman Weiß, Melvin Katz, George R. Sell, Patrick Billingsley, Howard H. Stratton, Lee Paul Neuwirth, J. A. Eagon, Samuel J. Lomonaco and John Ferguson and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Leonard E. Baum

21 papers receiving 6.2k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains

1970 2.8k citations Leonard E. Baum, Ted Petrie et al. The Annals of Mathematical Statistics profile →
Statistical Inference for Probabilistic Functions of Finite State Markov Chains

1966 1.7k citations Leonard E. Baum, Ted Petrie The Annals of Mathematical Statistics profile →
An inequality and associated maximization technique in statistical estimation of probabilistic functions of a Markov process

1972 938 citations Leonard E. Baum profile →
An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

1967 648 citations Leonard E. Baum et al. Bulletin of the American Mathematical Society profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Leonard E. Baum	3.3k	1.5k	927	767	653	24	7.0k
Ted Petrie	2.2k 0.7×	967 0.7×	639 0.7×	228 0.3×	480 0.7×	57	5.1k
Herman Chernoff	2.1k 0.6×	379 0.3×	695 0.7×	1.7k 2.2×	307 0.5×	91	8.4k
A. P. Dempster	4.1k 1.2×	835 0.6×	899 1.0×	2.3k 3.1×	482 0.7×	67	10.9k
László Györfi	3.2k 0.9×	410 0.3×	918 1.0×	723 0.9×	316 0.5×	113	6.5k
J. Rissanen	7.2k 2.1×	2.8k 1.9×	3.0k 3.2×	606 0.8×	1.1k 1.7×	119	13.5k
J. C. Dunn	3.1k 0.9×	876 0.6×	1.8k 1.9×	403 0.5×	444 0.7×	48	7.2k
Gábor Lugosi	4.8k 1.4×	519 0.4×	1.3k 1.4×	2.3k 3.0×	341 0.5×	137	8.4k
Olivier Cappé	3.1k 0.9×	1.6k 1.1×	519 0.6×	269 0.4×	172 0.3×	69	5.2k
Bruce G. Lindsay	4.7k 1.4×	1.4k 1.0×	587 0.6×	605 0.8×	792 1.2×	154	11.4k
Robert C. Williamson	6.0k 1.8×	2.2k 1.5×	2.4k 2.6×	480 0.6×	462 0.7×	173	11.5k

Countries citing papers authored by Leonard E. Baum

Since Specialization

Citations

This map shows the geographic impact of Leonard E. Baum's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Leonard E. Baum with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Leonard E. Baum more than expected).

Fields of papers citing papers by Leonard E. Baum

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Leonard E. Baum. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Leonard E. Baum. The network helps show where Leonard E. Baum may publish in the future.

Co-authorship network of co-authors of Leonard E. Baum

This figure shows the co-authorship network connecting the top 25 collaborators of Leonard E. Baum. A scholar is included among the top collaborators of Leonard E. Baum based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Leonard E. Baum. Leonard E. Baum is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Baum, Leonard E.. (1982). Proximal contour of Class II amalgams.. PubMed. 99(11). 6–10. 1 indexed citations

Baum, Leonard E., et al.. (1977). Fields of almost periodic sequences. Journal of Combinatorial Theory Series A. 22(2). 169–180. 2 indexed citations

Baum, Leonard E., et al.. (1977). Badly Approximable Power Series in Characteristic 2. Annals of Mathematics. 105(3). 573–573. 33 indexed citations

Baum, Leonard E., et al.. (1976). Continued Fractions of Algebraic Power Series in Characteristic 2. Annals of Mathematics. 103(3). 593–593. 71 indexed citations

Baum, Leonard E. & Lee Paul Neuwirth. (1975). Decompositions of vector spaces over GF(2) into disjoint equidimensional affine spaces. Journal of Combinatorial Theory Series A. 18(1). 88–100. 6 indexed citations

Baum, Leonard E. & Howard H. Stratton. (1973). Visitations of ruled sums. Transactions of the American Mathematical Society. 182(0). 403–430. 3 indexed citations

Baum, Leonard E., Melvin Katz, & Howard H. Stratton. (1971). Strong Laws for Ruled Sums. The Annals of Mathematical Statistics. 42(2). 625–629. 19 indexed citations

Baum, Leonard E., et al.. (1970). A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains. The Annals of Mathematical Statistics. 41(1). 164–171. 2794 indexed citations breakdown →

Baum, Leonard E. & George R. Sell. (1968). Growth transformations for functions on manifolds. Pacific Journal of Mathematics. 27(2). 211–227. 244 indexed citations

10.

Baum, Leonard E., et al.. (1967). An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology. Bulletin of the American Mathematical Society. 73(3). 360–363. 648 indexed citations breakdown →

11.

Baum, Leonard E. & Ted Petrie. (1966). Statistical Inference for Probabilistic Functions of Finite State Markov Chains. The Annals of Mathematical Statistics. 37(6). 1554–1563. 1672 indexed citations breakdown →

12.

Baum, Leonard E. & J. A. Eagon. (1966). The Number of Circular Patterns Compatible with a Pseudo-Symmetric Connected Graph. Canadian Journal of Mathematics. 18. 237–239. 2 indexed citations

13.

Baum, Leonard E. & Melvin Katz. (1965). Convergence Rates in the Law of Large Numbers. Transactions of the American Mathematical Society. 120(1). 108–108. 45 indexed citations

14.

Baum, Leonard E. & Melvin Katz. (1965). Convergence rates in the law of large numbers. Transactions of the American Mathematical Society. 120(1). 108–123. 408 indexed citations

15.

Baum, Leonard E.. (1963). On Convergence to + $\infty$ in the Law of Large Numbers. The Annals of Mathematical Statistics. 34(1). 219–222. 3 indexed citations

16.

Baum, Leonard E. & Melvin Katz. (1963). Convergence rates in the law of large numbers. Bulletin of the American Mathematical Society. 69(6). 771–773. 19 indexed citations

17.

Baum, Leonard E., et al.. (1963). On the Influence of Moments on the Asymptotic Distribution of Sums of Random Variables. The Annals of Mathematical Statistics. 34(3). 1042–1044. 4 indexed citations

18.

Baum, Leonard E., et al.. (1962). Exponential Convergence Rates for the Law of Large Numbers. Transactions of the American Mathematical Society. 102(2). 187–187. 5 indexed citations

19.

Baum, Leonard E., et al.. (1962). Exponential convergence rates for the law of large numbers. Transactions of the American Mathematical Society. 102(2). 187–199. 35 indexed citations

20.

Baum, Leonard E.. (1958). Note on a Paper of Civin and Yood. Proceedings of the American Mathematical Society. 9(2). 207–207.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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