000			03479cam a2200361 i 4500
003			OCoLC
005			20241010123724.0
008			170421s2017 nju o 000 0 eng d
020			_a9781400885381
020			_a1400885388
020			_z0691149550
020			_z0691149542
041			_aEnglish
082			_a519.2 _bMIL
090			_aQA273 _b.Mil 2017
100	1		_aMiller, Steven J.,
100	1		_d1974-
245	1	0	_aProbability Lifesaver _ball the tools you need to understand chance / _cSteven J. Miller.
260			_bPrinceton University Press, _c2017. _aPrinceton :
300			_axxiii, 727 pages : _billustrations ; _c26 cm.
490	0		_aPrinceton Lifesaver Study Guides.
505			_t I. General theory. Introduction Basic probability laws Counting I: cards Conditional probability, independence, and Bayes' theorem Counting II: inclusion-exclusion Counting III: advanced combinatorics II. Introduction to random variables. Introduction to discrete random variables Introduction to continuous random variables Tools: expectation Tools: Convolutions and changing variables Tools: differentiating identities III. Special distributions. Discrete distributions Continuous random variables: uniform and exponential Continuous random variables: the normal distribution The gamma function and related distributions The chi-square distribution IV. Limit theorems. Inequalities and laws of large numbers Stirling's formula Generating functions and convolutions Proof of the central limit theorem Fourier analysis and the central limit theorem V. Additional topics. Hypothesis testing Difference equations, Markov processes, and probability The method of least squares Two famous problems and some coding
506			_aOnline version restricted to NUS staff and students only through NUSNET.
520			_aFor students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability LIfesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement - both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. -- from back cover
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Internet connectivity; World Wide Web browser.
650		0	_aProbabilities.
650		0	_aChance.
650		0	_aGames of chance (Mathematics)
650		0	_aRandom variables.
655		4	_aElectronic books.
942			_2ddc _cBOOKS
999			_c43729 _d43729