Fundamentals of Probability: A First Course
This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style, mixed with a large number of interesting examples of a diverse nature. T...
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| Format: | Electronic |
| Language: | English |
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New York, NY :
Springer New York,
2010.
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| Series: | Springer Texts in Statistics,
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| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-5780-1 |
Table of Contents:
- Introducing probability
- The birthday and matching problems
- Conditional probability and independence
- Integer-valued and discrete random variables
- Generating functions
- Standard discrete distributions
- Continuous random variables
- Some special continuous distributions
- Normal distribution
- Normal approximations and the Central Limit Theorem
- Multivariate discrete distributions
- Multidimensional densities
- Convolutions and transformations
- Markov chains and applications
- Urn models in physics and genetics
- Appendix I: Supplementary homework and practice problems
- Appendix II: Symbols and formulas.