Abstract
We will derive in this chapter several elementary facts for the normal distribution and for basic statistics based on normal observations. The use of a normal model for a set of data is traditionally suggested by the central limit theorem and is, therefore, the most extensively studied one. This is, for example, the reason, why we marked in a boxplot in Section 1.5 those observations as outliers that were extremely large or small in a normal model. Equally, the definition of skewness or kurtosis in Section 1.4 is based on a comparison with the shape of a standard normal density.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Basel AG
About this chapter
Cite this chapter
Falk, M., Marohn, F., Tewes, B. (1995). Some Mathematical Statistics for the Normal Distribution. In: Foundations of Statistical Analyses and Applications with SAS. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8195-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8195-1_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-6893-7
Online ISBN: 978-3-0348-8195-1
eBook Packages: Springer Book Archive