An introduction to probability

Feller, William

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

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