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40 puzzles and problems in probability and mathematical statistics / Schwarz, Wolfgang

Tác giả : Schwarz, Wolfgang

Nhà xuất bản : Springer

Năm xuất bản : 2008

Số phân loại : 519.2

Chủ đề : 1. Mathematics. 2. Statistics ; Probabilities ; Mathematical statistics ; Probabilities -- Problems, exercises, etc ; Mathematical statistics -- Problems, exercises, etc.. 3. Book.

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Tóm tắt :

As a student I discovered in our library a thin booklet by Frederick Mosteller entitled50 Challenging Problems in Probability. Itreferredtoas- plementary "e;regular textbook"e; 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 "e;think probabilistically"e; 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.

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https://repository.vnu.edu.vn/handle/VNU_123/26739