''Counterexamples in Probability and Statistics'' is a mathematics book by Joseph P. Romano and Andrew F. Siegel. It began as Romano's senior thesis at
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
under Siegel's supervision, and was intended for use as a supplemental work to augment standard textbooks on statistics and probability theory.
Reception
R. D. Lee gave the book a strong recommendation despite certain reservations, particularly that the organization of the book was intimidating to a large fraction of its potential audience: "There are plenty of good teachers of
A-level
The A-level (Advanced Level) is a subject-based qualification conferred as part of the General Certificate of Education, as well as a school leaving qualification offered by the educational bodies in the United Kingdom and the educational ...
statistics who know little or nothing about
σ-fields or
Borel subset
In mathematics, a Borel set is any subset of a topological space that can be formed from its open sets (or, equivalently, from closed sets) through the operations of countable union, countable intersection, and relative complement. Borel sets are ...
s, the subjects of the first 3 or 4 pages." Reviewing new books for ''
Mathematics Magazine
''Mathematics Magazine'' is a refereed bimonthly publication of the Mathematical Association of America. Its intended audience is teachers of collegiate mathematics, especially at the junior/senior level, and their students. It is explicitly a j ...
,'' Paul J. Campbell called Romano and Siegel's work "long overdue" and quipped, "it's too bad we can't count on more senior professionals to compile such useful handbooks."
Eric R. Ziegel's review in ''
Technometrics
''Technometrics'' is a journal of statistics for the physical, chemical, and engineering sciences, published quarterly since 1959 by the American Society for Quality
The American Society for Quality (ASQ), formerly the American Society fo ...
'' was unenthusiastic, saying that the book was "only for mathematical statisticians" rather than "practitioners in the physical, chemical, and engineering sciences." Similarly, Rollin Brant found the book to have few data-based examples and suggested that a better title would have been ''Counterexamples in Probability and Theoretical Statistics.'' With that proviso, he deemed the book "useful and entertaining" and suggested that researchers as well as students "will find this book a valuable resource."
Publication history
*
See also
* ''
Counterexamples in Probability,'' a different book with similar subject matter
References
{{reflist
1986 non-fiction books
Probability and Statistics Probability and statistics are two closely related fields in mathematics that are sometimes combined for academic purposes. They are covered in multiple articles and lists:
* Probability
* Statistics
* Glossary of probability and statistics
* Not ...
Probability books
Statistics books