Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables

DOI10.1016/0047-259X(89)90111-5zbMath0676.60024OpenAlexW2092024900MaRDI QIDQ1122858

Stefan S. Ralescu, Paul Deheuvels, Madan Lal Puri

Publication date: 1989

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(89)90111-5

zbMATH Keywords

order statisticstriangular array of independent Bernoulli distributed r.v.

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (12)

The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands ⋮ Limit laws for \(K\)-record times ⋮ Confidence distribution for the ability parameter of the Rasch model ⋮ Strong approximation of the number of renewal paced record times ⋮ Dimension reduction for longitudinal multivariate data by optimizing class separation of projected latent Markov models ⋮ On a bound of the absolute constant in the Berry-Esseen inequality for i.i.d. Bernoulli random variables ⋮ A q -binomial extension of the CRR asset pricing model ⋮ Cutoff in the Bernoulli-Laplace urn model with swaps of order \(n\) ⋮ Large deviations by Poisson approximations ⋮ Fault tolerance in large games ⋮ Counting loopy graphs with given degrees ⋮ Bernstein-type exponential inequalities in survey sampling: conditional Poisson sampling schemes

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