Arbeitspapier

Reasonable sample sizes for convergence to normality

The central limit theorem says that, provided an estimator fulfills certain weak conditions, then, for reasonable sample sizes, the sampling distribution of the estimator converges to normality. We propose a procedure to find out what a "reasonably large sample size" is. The procedure is based on the properties of Gini's mean difference decomposition. We show the results of implementations of the procedure from simulated datasets and data from the German Socio-economic Panel.

Language
Englisch

Bibliographic citation
Series: SOEPpapers on Multidisciplinary Panel Data Research ; No. 714

Classification
Wirtschaft
Subject
central limit theorem
Gini's mean difference composition

Event
Geistige Schöpfung
(who)
Schröder, Carsten
Yitzhaki, Shlomo
Event
Veröffentlichung
(who)
Deutsches Institut für Wirtschaftsforschung (DIW)
(where)
Berlin
(when)
2014

Handle
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Schröder, Carsten
  • Yitzhaki, Shlomo
  • Deutsches Institut für Wirtschaftsforschung (DIW)

Time of origin

  • 2014

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