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Probability With Applications and R.

Detalles Bibliográficos
Autor principal: Dobrow, Robert P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2013.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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040 |a EBLCP  |b eng  |c EBLCP  |d OCLCQ  |d OCLCO  |d EBLCP  |d OCLCQ 
020 |a 9781118589359 
020 |a 1118589351 
035 |a (OCoLC)1347028740 
082 0 4 |a 519.20285/5133  |q OCoLC  |2 23/eng/20230216 
049 |a UAMI 
100 1 |a Dobrow, Robert P. 
245 1 0 |a Probability  |h [electronic resource] :  |b With Applications and R. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2013. 
300 |a 1 online resource (518 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- Probability: With Applications and R -- Copyright -- Contents -- Preface -- Acknowledgments -- Introduction -- 1 First Principles -- 1.1 Random Experiment, Sample Space, Event -- 1.2 What Is a Probability? -- 1.3 Probability Function -- 1.4 Properties of Probabilities -- 1.5 Equally Likely Outcomes -- 1.6 Counting I -- 1.7 Problem-Solving Strategies: Complements, Inclusion-Exclusion -- 1.8 Random Variables -- 1.9 A Closer Look at Random Variables -- 1.10 A First Look at Simulation -- 1.11 Summary -- Exercises -- 2 Conditional Probability -- 2.1 Conditional Probability 
505 8 |a 2.2 New Information Changes the Sample Space -- 2.3 Finding P(A and B) -- 2.3.1 Birthday Problem -- 2.4 Conditioning and the Law of Total Probability -- 2.5 Bayes Formula and Inverting a Conditional Probability -- 2.6 Summary -- Exercises -- 3 Independence and Independent Trials -- 3.1 Independence and Dependence -- 3.2 Independent Random Variables -- 3.3 Bernoulli Sequences -- 3.4 Counting II -- 3.5 Binomial Distribution -- 3.6 Stirling's Approximation -- 3.7 Poisson Distribution -- 3.7.1 Poisson Approximation of Binomial Distribution -- 3.7.2 Poisson Limit -- 3.8 Product Spaces -- 3.9 Summary 
505 8 |a Exercises -- 4 Random Variables -- 4.1 Expectation -- 4.2 Functions of Random Variables -- 4.3 Joint Distributions -- 4.4 Independent Random Variables -- 4.4.1 Sums of Independent Random Variables -- 4.5 Linearity of Expectation -- 4.5.1 Indicator Random Variables -- 4.6 Variance and Standard Deviation -- 4.7 Covariance and Correlation -- 4.8 Conditional Distribution -- 4.8.1 Introduction to Conditional Expectation -- 4.9 Properties of Covariance and Correlation -- 4.10 Expectation of a Function of a Random Variable -- 4.11 Summary -- Exercises -- 5 A Bounty of Discrete Distributions 
505 8 |a 5.1 Geometric Distribution -- 5.1.1 Memorylessness -- 5.1.2 Coupon Collecting and Tiger Counting -- 5.1.3 How R Codes the Geometric Distribution -- 5.2 Negative Binomial-Up from the Geometric -- 5.3 Hypergeometric-Sampling Without Replacement -- 5.4 From Binomial to Multinomial -- 5.4.1 Multinomial Counts -- 5.5 Benford's Law -- 5.6 Summary -- Exercises -- 6 Continuous Probability -- 6.1 Probability Density Function -- 6.2 Cumulative Distribution Function -- 6.3 Uniform Distribution -- 6.4 Expectation and Variance -- 6.5 Exponential Distribution -- 6.5.1 Memorylessness 
505 8 |a 6.6 Functions of Random Variables I -- 6.6.1 Simulating a Continuous Random Variable -- 6.7 Joint Distributions -- 6.8 Independence -- 6.8.1 Accept-Reject Method -- 6.9 Covariance, Correlation -- 6.10 Functions of Random Variables II -- 6.10.1 Maximums and Minimums -- 6.10.2 Sums of Random Variables -- 6.11 Geometric Probability -- 6.12 Summary -- Exercises -- 7 Continuous Distributions -- 7.1 Normal Distribution -- 7.1.1 Standard Normal Distribution -- 7.1.2 Normal Approximation of Binomial Distribution -- 7.1.3 Sums of Independent Normals -- 7.2 Gamma Distribution 
500 |a 7.2.1 Probability as a Technique of Integration 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
776 0 8 |i Print version:  |a Dobrow, Robert P.  |t Probability  |d Newark : John Wiley & Sons, Incorporated,c2013  |z 9781118241257 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103835  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103835 
994 |a 92  |b IZTAP