Abstract
After describing the general inductive nature of statistical inference, this chapter introduces two popular methods of collecting data: simple random sampling—with or without replacement, and stratified random sampling. A comparison of these methods is made for estimating the mean of a population. The last section is devoted to some simple examples illustrating parametric, nonparametric and semiparametric inference problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cochran, G. W. (1977). Sampling techniques (3rd ed.). New York: Wiley.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag New York
About this chapter
Cite this chapter
Bhattacharya, R., Lin, L., Patrangenaru, V. (2016). Introduction. In: A Course in Mathematical Statistics and Large Sample Theory. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-4032-5_1
Download citation
DOI: https://doi.org/10.1007/978-1-4939-4032-5_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-4030-1
Online ISBN: 978-1-4939-4032-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)