Lecture Notes in Statistics

Exact Confidence Bounds when Sampling from Small Finite Universes

An Easy Reference Based on the Hypergeometric Distribution

Authors: Wright, Tommy

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About this Textbook

There is a very simple and fundamental conceptĀ· to much of probability and statistics that can be conveyed using the following problem. PROBLEM. Assume a finite set (universe) of N units where A of the units have a particular attribute. The value of N is known while the value of A is unknown. If a proper subset (sample) of size n is selected randomly and a of the units in the subset are observed to have the particular attribute, what can be said about the unknown value of A? The problem is not new and almost anyone can describe several situations where a particular problem could be presented in this setting. Some recent references with different focuses include Cochran (1977); Williams (1978); Hajek (1981); Stuart (1984); Cassel, Samdal, and Wretman (1977); and Johnson and Kotz (1977). We focus on confidence interval estimation of A. Several methods for exact confidence interval estimation of A exist (Buonaccorsi, 1987, and Peskun, 1990), and this volume presents the theory and an extensive Table for one of them. One of the important contributions in Neyman (1934) is a discussion of the meaning of confidence interval estimation and its relationship with hypothesis testing which we will call the Neyman Approach. In Chapter 3 and following Neyman's Approach for simple random sampling (without replacement), we present an elementary development of exact confidence interval estimation of A as a response to the specific problem cited above.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-1-4612-3140-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-0-387-97515-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Exact Confidence Bounds when Sampling from Small Finite Universes
Book Subtitle
An Easy Reference Based on the Hypergeometric Distribution
Authors
Series Title
Lecture Notes in Statistics
Series Volume
66
Copyright
1991
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-1-4612-3140-0
DOI
10.1007/978-1-4612-3140-0
Softcover ISBN
978-0-387-97515-3
Series ISSN
0930-0325
Edition Number
1
Number of Pages
XVI, 431
Topics