Chebyshev–Edgeworth-Type Approximations for Statistics Based on Samples with Random Sizes

Second-order Chebyshev–Edgeworth expansions are derived for various statistics from samples with random sample sizes, where the asymptotic laws are scale mixtures of the standard normal or chi-square distributions with scale mixing gamma or inverse exponential distributions. A formal construction of...

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Bibliographic Details
Main Authors: Gerd Christoph, Vladimir V. Ulyanov
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/7/775