Probability: An Introduction

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Clarendon Press, 1986 - 211 pagine
This new undergraduate text offers a concise introduction to probability and random processes. Exercises and problems range from simple to difficult, and the overall treatment, though elementary, includes rigorous mathematical arguments. Chapters contain core material for a beginning course in probability, a treatment of joint distributions leading to accounts of moment-generating functions, the law of large numbers and the central limit theorem, and basic random processes.
 

Sommario

Events and probabilities
11
Discrete random variables
23
Multivariate discrete distributions and independence
36
Probability generating functions
48
Distribution functions and density functions
58
Multivariate distributions and independence
82
Moments and moment generating functions
102
The two main limit theorems
124
Branching processes
143
Random walks
153
Random processes in continuous time
168
Appendix Difference equations
195
Remarks on the problems
201
Reading list
207
Copyright

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