The book is intended to undergraduate students, it presents
exercices and problems with rigorous solutions covering the mains
subject of the course with both theory and applications.The
questions are solved using simple mathematical methods: Laplace and
Fourier transforms provide direct proofs of the main convergence
results for sequences of random variables.The book studies a large
range of distribution functions for random variables and processes:
Bernoulli, multinomial, exponential, Gamma, Beta, Dirichlet,
Poisson, Gaussian, Chi2, ordered variables, survival distributions
and processes, Markov chains and processes, Brownian motion and
bridge, diffusions, spatial processes.
General
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