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A Natural Introduction To Probability Theory

A Natural Introduction To Probability Theory

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  • ISBN:9783764387235
  • Editorial: Birkhaüser
  • Fecha de la edición:
  • Número de la edición: 2
  • Encuadernación:
  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:207
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The book [is] an excellent new introductory text on probability. The classical way of teaching probability is based on measure theory. In this book discrete and continuous probability are studied with mathematical precision, within the realm of Riemann integration and not using notions from measure theory. Numerous topics are discussed, such as: random walks, weak laws of large numbers, infinitely many repetitions, strong laws of large numbers, branching processes, weak convergence and [the] central limit theorem. The theory is illustrated with many original and surprising examples and problems.

Experiments 1
2 Random Variables and Random Vectors 35
3 Random Walk 71
4 Limit Theorems 81
I Intermezzo 89
5 Continuous Random Variables and Vectors 93
6 Infinitely Many Repetitions 137
7 The Poisson Process 153
8 Limit Theorems 167
9 Extending the Probabilities 183
App. A Interpreting Probabilities 187
App. B Further Reading 191
App. C Answers to Selected Exercises 193

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