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Viser: Probability
Probability Vital Source e-bog
Jim Pitman
(2012)
Probability Vital Source e-bog
Jim Pitman
(2012)
Probability Vital Source e-bog
Jim Pitman
(2012)
Probability
Jim Pitman
(1993)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461243748
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Vital Source 180 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461243748R180
Online udgaven er tilgængelig: 180 dage fra købsdato.
Offline udgaven er tilgængelig: 180 dage fra købsdato.
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Detaljer om varen
- Vital Source 90 day rentals (fixed pages)
- Udgiver: Springer Nature (December 2012)
- ISBN: 9781461243748R90
Online udgaven er tilgængelig: 90 dage fra købsdato.
Offline udgaven er tilgængelig: 90 dage fra købsdato.
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Detaljer om varen
- Hardback: 560 sider
- Udgiver: Springer New York (Maj 1993)
- ISBN: 9780387979748
The most valuable thing for students to learn from a course like this is how to pick up a probability problem in a new setting and relate it to the standard body of theory. The more they see this happen in class, and the more they do it themselves in exercises, the better. The style of the text is deliberately informal. My experience is that students learn more from intuitive explanations, diagrams, and examples than they do from theorems and proofs. So the emphasis is on problem solving rather than theory.
1.1 Equally Likely Outcomes.-
1.2 Interpretations.-
1.3 Distributions.-
1.4 Conditional Probability and Independence.-
1.5 Bayes' Rule.-
1.6 Sequences of Events.- Summary.- Review Exercises.- 2 Repeated Trials and Sampling.-
2.1 The Binomial Distribution.-
2.2 Normal Approximation: Method.-
2.3 Normal Approximation: Derivation (Optional).-
2.4 Poisson Approximation.-
2.5 Random Sampling.- Summary.- Review Exercises.- 3 Random Variables.-
3.1 Introduction.-
3.2 Expectation.-
3.3 Standard Deviation and Normal Approximation.-
3.4 Discrete Distributions.-
3.5 The Poisson Distribution.-
3.6 Symmetry (Optional).- Summary.- Review Exercises.- 4 Continuous Distributions.-
4.1 Probability Densities.-
4.2 Exponential and Gamma Distributions.-
4.3 Hazard Rates (Optional).-
4.4 Change of Variable.-
4.5 Cumulative Distribution Functions.-
4.6 Order Statistics (Optional).- Summary.- Review Exercises.- 5 Continuous Joint Distributions.-
5.1 Uniform Distributions.-
5.2 Densities.-
5.3Independent Normal Variables.-
5.4 Operations (Optional).- Summary.- Review Exercises.- 6 Dependence.-
6.1 Conditional Distributions: Discrete Case.-
6.2 Conditional Expectation: Discrete Case.-
6.3 Conditioning: Density Case.-
6.4 Covariance and Correlation.-
6.5 Bivariate Normal.- Summary.- Review Exercises.- Distribution Summaries.- Discrete.- Continuous.- Beta.- Binomial.- Exponential.- Gamma.- Geometric and Negative Binomial.- Hypergeometrie.- Normal.- Poisson.- Uniform.- Examinations.- Solutions to Examinations.- Appendices.- 1 Counting.- 2 Sums.- 3 Calculus.- 4 Exponents and Logarithms.- 5 Normal Table.- Brief Solutions to Odd-Numbered Exercises.









