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A Note on the Theory of Moment Generating Functions

https://doi.org/10.1214/aoms/1177731541
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.2307/2300391openalex-snapshot
The Taylor Series.
inferredcites →https://doi.org/10.4324/9780203122860-10openalex-snapshot
Random Variables and Probability Distributions
inferredcites →https://doi.org/10.5948/upo9781614440024openalex-snapshot
Analytic Functions of a Complex Variable

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Polynomial Diffusions and Applications in Finance
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References
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Successions in Words and Compositions
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On the Distribution of Multiplicities in Integer Partitions
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Distribution of Descents in Matchings
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Analysis of the Strategy “Hiring Above the $$m$$ m -th Best Candidate”
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Exploring fine-grained multimodal prompts for visual relation detection with adaptation of VLMs
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A central limit theorem for integer partitions
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On the number of summands in a random prime partition
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A central limit theorem for integer partitions into small powers
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Moment-based approach for determining probabilistic properties of generalized random variables via chaos expansions
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Polynomial diffusions and applications in finance
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Data-Based Automatic Discretization of Nonparametric Distributions
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Approximate Message Passing for General Non-Symmetric Random Matrices
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A Central Limit Theorem for a Generalization of the Ewens Measure to Random Tuples of Commuting Permutations
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Distribution of alternating sums of parts in partitions
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Limit theorems for Andrews’ restricted overpartitions
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Bat Motion can be Described by Leap Frogging
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Modified Linear Failure Rate Distribution for Bathtub Hazard Data
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The number of distinct part sizes in a random integer partition
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Méthode de col et lois limites en analyse combinatoire
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Marking in combinatorial constructions: Generating functions and limiting distributions
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Poisson limits for a hard-core clustering model
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A central limit theorem for descents and major indices in fixed conjugacy classes of S
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On the distribution of t-hooks of doubled distinct partitions
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Chromatographic peak shape from a stochastic model: Analytic time-domain expression in terms of physical parameters and conditions under which heterogeneity reduces tailing
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On the distribution of distances between specified nodes in increasing trees
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Enumeration of matchings in families of self-similar graphs
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On edge-weighted recursive trees and inversions in random permutations
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Exact and asymptotic enumeration of perfect matchings in self-similar graphs
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Distribution of hooks in self-conjugate partitions
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The limiting distribution of the q -derangement numbers
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Multi-granular linguistic distribution evidential reasoning method for renewable energy project risk assessment
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Insertion depth in power-weight trees
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Counting lattice points in free sums of polytopes
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Central limit theorem for descents in conjugacy classes of S
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Structural identifiability of Order-of-Processing models: When do different cognitive architectures generate identical response time distributions
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Asymptotics and limiting distributions of several overpartition statistics
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Linear-fractional branching processes with countably many types
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Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations
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A note on moment generating functions
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The left–right-imbalance of binary search trees
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On convergence of multivariate Laplace transforms
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On path integrals for the high-dimensional Brownian bridge
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Statistics
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Preface to the Series
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Preface
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Probability and Distribution Theory
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Probability
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Random variables, probability distributions and densities
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Expectations and their generating functions
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Special univariate distributions
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Joint distributions and densities
inferred← citeshttps://doi.org/10.1017/9781139016131.009openalex-snapshot
Conditioning, dependence, and joint moments
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Functions of random variables
inferred← citeshttps://doi.org/10.1017/9781139016131.011openalex-snapshot
The multivariate normal and functions thereof
inferred← citeshttps://doi.org/10.1017/9781139016131.012openalex-snapshot
Estimation And Inference
inferred← citeshttps://doi.org/10.1017/9781139016131.013openalex-snapshot
Sample statistics and their distributions
inferred← citeshttps://doi.org/10.1017/9781139016131.014openalex-snapshot
Asymptotic theory
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Principles of point estimation
inferred← citeshttps://doi.org/10.1017/9781139016131.016openalex-snapshot
Likelihood, information, and maximum likelihood estimation
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Other methods of estimation
inferred← citeshttps://doi.org/10.1017/9781139016131.018openalex-snapshot
Tests of hypotheses
inferred← citeshttps://doi.org/10.1017/9781139016131.019openalex-snapshot
Some mathematical tools
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Notation
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Bibliography
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Index
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Brownian Models of Performance and Control
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Trees grown under young-age preferential attachment
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Estimating and testing selection: the two-alleles, genic selection diffusion model
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THE NUMBER OF PARTS IN A RANDOM t -REGULAR PARTITION
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An urn model for cannibal behavior
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Limiting results for arrays of binary random variables on rectangular lattices under sparseness conditions
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Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics
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The Distribution of Ascents of Size d or More in Partitions of n
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Large Distinct Part Sizes in a Random Integer Partition
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Approximation of inverse Laplace transform solution to heat transport in a stream system
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An extended use of moments of two distribution functions for predicting performance in a pattern discrimination task.
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Truly work-like work extraction via a single-shot analysis
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On the convergence of generalized polynomial chaos expansions
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RANDOM PARTITIONS OF SETS WITH MARKED SUBSETS
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ASYMPTOTIC NORMALITY OF SOME VARIABLES CONNECTED WITH THE CYCLIC STRUCTURE OF RANDOM PERMUTATIONS
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ON SOME CLASSES OF RANDOM VARIABLES ON CYCLES OF PERMUTATIONS
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Book Reviews
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On the Toeplitz Lemma, Convergence in Probability, and Mean Convergence
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General linear-fractional branching processes with discrete time
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Distributed order derivatives and relaxation patterns
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Distributions of Hook lengths in integer partitions
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The annual meeting of the Society
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A Random Graph With a Subcritical Number of Edges
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Miscellanea. Bartlett correction of the unit root test in autoregressive models
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Optimal performance of generalized heat engines with finite-size baths of arbitrary multiple conserved quantities beyond independent-and-identical-distribution scaling
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McLeish Distribution: Performance of Digital Communications Over Additive White McLeish Noise (AWMN) Channels
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Cumulant generating function of codeword lengths in optimal lossless compression
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A tight upper bound on the second-order coding rate of parallel Gaussian channels with feedback
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John Hamilton Curtiss, 1909-1977
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Cyber-Threat Mitigation Exploiting the Birth–Death–Immigration Model
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Asymmetric Evaluations of Erasure and Undetected Error Probabilities
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Diffusion-Based Adaptive Distributed Detection: Steady-State Performance in the Slow Adaptation Regime
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A Tight Upper Bound on the Second-Order Coding Rate of the Parallel Gaussian Channel With Feedback
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Distributed Detection over Adaptive Networks: Refined Asymptotics and the Role of Connectivity
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On statistical characterization of EESM effective SNR over frequency selective channels
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On the Average Output SNR of Exponential Effective SNR Mapping over Nakagami-m Fading Channels
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Airy wanderer line ensembles
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A generalization of the Curtiss theorem for moment generating functions
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Random A-permutations and Brownian motion
inferred← citeshttps://doi.org/10.1137/1116053openalex-snapshot
Distribution of the Number of Distinct Elements of a Symmetric Basis in a Random $mA$-Sample
inferred← citeshttps://doi.org/10.1137/1116072openalex-snapshot
Distribution of the Number of Fixed Points of Elements of a Symmetric Semigroup under the Condition $\sigma ^{h + 1} = \sigma ^h $ and the Number of Trees of Height Not Exceeding h
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Mappings of a Finite Set with Limitations on Contours and Height
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Random Mappings with Bounded Height
inferred← citeshttps://doi.org/10.1137/s0040585x97986928openalex-snapshot
On a Number of Components in a Random $A$-Mapping
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FROM PERSISTENT RANDOM WALK TO THE TELEGRAPH NOISE
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Stitching Inner Product and Euclidean Metrics for Topology-aware Maximum Inner Product Search
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A Finite-Interval Uniqueness Theorem for Bilateral Laplace Transforms
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A Novel Quantile‐Transformed Exponential Distribution With Applications in Reliability and Survival Analyses
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Situationally-aware dynamics learning
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A Moment Generating Function Proof of the Lindeberg–Lévy Central Limit Theorem
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Principles of Point Estimation
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Separation cut-offs for birth and death chains
inferred← citeshttps://doi.org/10.1214/14-ps244openalex-snapshot
On moment sequences and mixed Poisson distributions
inferred← citeshttps://doi.org/10.1214/18-aihp945openalex-snapshot
Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries
inferred← citeshttps://doi.org/10.1214/20-aap1660openalex-snapshot
The planted matching problem: Phase transitions and exact results
inferred← citeshttps://doi.org/10.1214/24-aap2112openalex-snapshot
The critical beta-splitting random tree I: Heights and related results
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Normal convergence problem? Two moments and a recurrence may be the clues
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Probabilistic Analysis of an Algorithm in the Theory of Markets in Indivisible Goods
inferred← citeshttps://doi.org/10.1214/aoap/1177005436openalex-snapshot
The Average Performance of the Greedy Matching Algorithm
inferred← citeshttps://doi.org/10.1214/aoms/1177697275openalex-snapshot
On the Probability of Large Deviations and Exact Slopes
inferred← citeshttps://doi.org/10.1214/aoms/1177697726openalex-snapshot
Asymptotic Distribution of Maximum Likelihood Estimators in a Linear Model With Autoregressive Disturbances
inferred← citeshttps://doi.org/10.1214/aoms/1177729641openalex-snapshot
On the Duration of Random Walks
inferred← citeshttps://doi.org/10.1214/aoms/1177730492openalex-snapshot
On the Convergence of Sequences of Moment Generating Functions
inferred← citeshttps://doi.org/10.1214/aoms/1177731452openalex-snapshot
On Transformations Used in the Analysis of Variance
inferred← citeshttps://doi.org/10.1214/aop/1176996357openalex-snapshot
Convergence Rates for a Class of Large Deviation Probabilities
inferred← citeshttps://doi.org/10.1214/aos/1176343941openalex-snapshot
Maximum Likelihood Estimates in Exponential Response Models
inferred← citeshttps://doi.org/10.1214/aos/1176345693openalex-snapshot
Piecewise Exponential Models for Survival Data with Covariates
inferred← citeshttps://doi.org/10.1214/ecp.v16-1669openalex-snapshot
Analysis of a class of Cannibal urns
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Maximum Inner Product is Query-Scaled Nearest Neighbor
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Твірна функція моментів для статистики вихідної активності інтегруючого нейрона з втратами
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دراسة خصائص توزيع تشن رايلي مع التطبيق
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Randomization analysis of covariance and change-over designs
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Marshall olkin extended exponentiated Gamma distribution and its applications
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Algebraic Entropy of a Class of Five-Point Differential-Difference Equations
inferred← citeshttps://doi.org/10.37236/1468openalex-snapshot
Intersections of Randomly Embedded Sparse Graphs are Poisson
inferred← citeshttps://doi.org/10.37236/693openalex-snapshot
Limit Theorems for the Number of Parts in a Random Weighted Partition
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Monotone Additive Statistics
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Предельная теорема о форме графов Ферре
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Случайные подстановки с циклами ограниченной длины и трансформированием
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Одно обобщение теоремы Куртисса для производящих функций моментов
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О числе компонент случайного $A$-отображения
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On the effective block size in Harper’s theorem
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A phase transition in the distribution of the length of integer partitions
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The Limiting Distributions of the Coefficients of the q-Derangement Numbers
inferred← citeshttps://doi.org/10.48550/arxiv.0807.3392openalex-snapshot
The converse to Curtiss' theorem for one-sided moment generating functions
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From persistent random walks to the telegraph noise
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Forest fires on $\Z_+$ with ignition only at 0
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Linear-fractional branching processes with countably many types
inferred← citeshttps://doi.org/10.48550/arxiv.1510.06859openalex-snapshot
General linear-fractional branching processes with discrete time
inferred← citeshttps://doi.org/10.48550/arxiv.1803.10457openalex-snapshot
Central limit theorem for descents in conjugacy classes of $S_n$
inferred← citeshttps://doi.org/10.48550/arxiv.1811.04578openalex-snapshot
A central limit theorem for descents and major indices in fixed conjugacy classes of $S_n$
inferred← citeshttps://doi.org/10.48550/arxiv.2004.07020openalex-snapshot
Higher rank motivic Donaldson-Thomas invariants of $\mathbb{A}^3$ via wall-crossing, and asymptotics
inferred← citeshttps://doi.org/10.48550/arxiv.2012.01501openalex-snapshot
Moment-generating function of output stream of leaky integrate-and-fire neuron
inferred← citeshttps://doi.org/10.48550/arxiv.2102.00618openalex-snapshot
Monotone additive statistics
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0307062openalex-snapshot
Euclidean algorithms are Gaussian
inferred← citeshttps://doi.org/10.5802/aif.3600openalex-snapshot
A new class of solutions to the van Dantzig problem, the Lee–Yang property, and the Riemann hypothesis
inferred← citeshttps://doi.org/10.5821/dissertation-2117-94923openalex-snapshot
The hiring problem and its algorithmic applications
inferred← citeshttps://doi.org/10.7153/oam-2019-13-75openalex-snapshot
The matrix Toda equations for coefficients of a matrix three-term recurrence relation
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