An introduction to probability theory and it's applications (Vol-II) /
by William Feller
- 2nd ed.
- New Delhi Wiley India c1971, 2009
- xxiv, 669p.
Densities Convolutions -- Special Densities. Randomization -- Densities in Higher Dimensions, Normal Densities and Processes -- Probability Measures and Spaces -- Probability Distributions in Rr -- A Survey of Some Important Distributions and Processes -- Laws of Large Numbers. Applications in Analysis -- The Basic Limit Theorems -- Infinitely Divisible Distributions and Semi-Groups -- Markov Processes and Semi-Groups -- Random Walks in R1 -- Laplace Transforms. Tauberian Theorems. Resolvents -- Applications of Laplace Transforms -- Characteristic Functions -- Expansions Related to the Central Limit Theorem -- Infinitely Divisible Distributions -- Applications of Fourier Methods to Random Walks -- Harmonic Analysis