The Lebesgue Integral
摘要
The previous chapters concerned what one may call the basic “calculus of probability”, that is, the acquisition of the skills that suffice to deal with elementary stochastic models involving discrete random variables and absolutely continuous random vectors. This chapter will considerably increase the expertise of the reader at the expense of a reasonable amount of abstraction. It contains a short summary of the abstract Lebesgue integral that will then be interpreted in probabilistic terms in the next chapter.