40 Puzzles and Problems in Probability and Mathematical Statistics (Problem Books in Mathematics)

Schwarz, Wolfgang

Springer（2007/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 135 p.
• 言語 ENG
• 商品コード 9780387735115

基本説明

Based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems.

Full Description

As a student I discovered in our library a thin booklet by Frederick Mosteller entitled50 Challenging Problems in Probability. Itreferredtoas- plementary "regular textbook" by William Feller, An Introduction to Pro- bilityTheoryanditsApplications.SoItookthisonealong,too,andstartedon the ?rst of Mosteller's problems on the train riding home. From that evening, I caught on to probability. These two books were not primarily about abstract formalisms but rather about basic modeling ideas and about ways — often extremely elegant ones — to apply those notions to a surprising variety of empirical phenomena. Essentially, these books taught the reader the skill to "think probabilistically" and to apply simple probability models to real-world problems. The present book is in this tradition; it is based on the view that those cognitive skills are best acquired by solving challenging, nonstandard pro- bility problems. My own experience, both in learning and in teaching, is that challenging problems often help to develop, and to sharpen, our probabilistic intuition much better than plain-style deductions from abstract concepts.

Contents

Preface.- Notation and Terminology.- Problems.- Hints.- Solutions.- References.- Index.