Results 91 to 100 of about 94,783 (262)
A Generalized Method for Proving the Theorem derived from the Binomial Coefficients in Combinatorial Geometric Series [PDF]
, 2022 Chinnaraji Annamalai
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Scandinavian Journal of Statistics, EarlyView.Abstract Stein operators allow one to characterize probability distributions via differential operators. Based on these characterizations, we develop a new method of point estimation for marginal parameters of strictly stationary and ergodic processes, which we call Stein's Method of Moments (SMOM). These SMOM estimators satisfy the desirable classical
Bruno Ebner +4 more
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Scandinavian Journal of Statistics, EarlyView.Abstract When the target parameter for inference is a real‐valued, continuous function of probabilities in the k$$ k $$‐sample multinomial problem, variance estimation may be challenging. In small samples or when the function is nondifferentiable at the true parameter, methods like the nonparametric bootstrap or delta method may perform poorly.
Michael C. Sachs +2 more
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A Note on Extended Binomial Coefficients
, 2014 We study the distribution of the extended binomial coefficients by deriving a complete asymptotic expansion with uniform error terms. We obtain the expansion from a local central limit theorem and we state all coefficients explicitly as sums of Hermite ...
Neuschel, Thorsten
core
Multinomial Theorem on the Binomial Coefficients for Combinatorial Geometric Series [PDF]
, 2022 Chinnaraji Annamalai
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Spectral analysis for the inference of noisy Hawkes processes
Scandinavian Journal of Statistics, EarlyView.Abstract Classic estimation methods for Hawkes processes rely on the assumption that observed event times are indeed a realization of a Hawkes process, without considering any perturbation of the model. In practice, observations are often altered by some noise, and so we consider, in this work, the observations to be the indistinguishable union of ...
Anna Bonnet +3 more
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Combinatorial Geometric Series and Binomial Theorems [PDF]
, 2022 Chinnaraji Annamalai
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Finite models for positive combinatorial and exponential algebra
Bulletin of the London Mathematical Society, EarlyView.Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
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A short derivation of an elegant sum involving central binomial coefficients due to László via a hypergeometric series approach [PDF]
Contributions to Mathematics, 2022 Dongkyu Lim, Arjun K. Rathie
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Growth problems in diagram categories
Bulletin of the London Mathematical Society, EarlyView.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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