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Can I read Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples on EtoBox?
Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples by Gerd Christoph; Vladimir V. Ulyanov is a Mathematics article available to read on EtoBox.
What is Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples about?
This article completes our studies on the formal construction of asymptotic approximations for statistics based on a random number of observations. Second order Chebyshev–Edgeworth expansions of asymptotically normally or chi-squared distributed statistics from samples with negative binomial or Pareto-like distributed random sample sizes are obtained. The results can have applications for a wide spectrum of asymptotically normally or chi-square distributed statistics. Random, non-random, and mixed scaling factors for each of the studied statistics produce three different limit distributions. In addition to the expected normal or chi-squared distributions, Student’s t-, Laplace, Fisher, gamma, and weighted sums of generalized gamma distributions also occur.
Who reads Second Order Chebyshev–Edgeworth-Type Approximations for Statistics Based on Random Size Samples?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Gerd Christoph; Vladimir V. Ulyanov
- Publisher
- MDPI AG
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)