Asymptotic estimation of the parameters of multivariate point processes.

DOI10.1007/BF02465434zbMath1127.62401MaRDI QIDQ1291232

V. Kanishauskas

Publication date: 14 June 1999

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Non-Markovian processes: estimation (62M09) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Error bounds for the compound Poisson approximation
• Approximation with accompanying distributions and asymptotic expansions. I
• Approximation of distributions of integer-valued additive functions by discrete charges. II
• Approximation of aggregate claims distributions by compound Poisson distributions
• Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
• Poisson approximations of multinomial distributions and point processes
• Compound Poisson approximation for unbounded functions on a group, with application to large deviations
• On asymptotic expansions in the first uniform Kolmogorov theorem
• An approximation theorem for the Poisson binomial distribution
• Approximation of Binomial Distributions by Infinitely Divisible Ones
• On the rate of Poisson convergence
• On the Accuracy of Approximation of Distributions of Sums of Independent Random Variables—Which are Nonzero with a Small Probability—By Means of Accompanying Laws
• Approximation of sums by compound Poisson distributions with respect to stop-loss distances
• Approximation in Variation of the Distribution of a Sum of Independent Bernoulli Variables with a Poisson Law
• On the Uniform Approximation of Distributions of Sums of Independent Random Variables
• Multidimensional Version of the Second Uniform Limit Theorem of Kolmogorov

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