Lectures on Measure Theory and Probability
by H.R. Pitt
Publisher: Tata institute of Fundamental Research 1958
Number of pages: 126
Measure Theory (Sets and operations on sets, Classical Lebesgue and Stieltjes measures, The Lebesgue integral ...); Probability (Function of a random variable, Conditional probabilities, The Central Limit Problem, Random Sequences and Convergence Properties ...).
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by Leif Mejlbro - BookBoon
From the table of contents: Some theoretical background; The binomial distribution; The Poisson distribution; The geometric distribution; The Pascal distribution; The negative binomial distribution; The hypergeometric distribution.
by Gian-Carlo Rota, Kenneth Baclawski
The purpose of the text is to learn to think probabilistically. The book starts by giving a bird's-eye view of probability, it first examines a number of the great unsolved problems of probability theory to get a feeling for the field.
by Douglas Kennedy - Trinity College
This material was made available for the course Probability of the Mathematical Tripos. Contents: Basic Concepts; Axiomatic Probability; Discrete Random Variables; Continuous Random Variables; Inequalities, Limit Theorems and Geometric Probability.
by S.R.S. Varadhan - New York University
Topics: Brownian Motion; Diffusion Processes; Weak convergence and Compactness; Stochastic Integrals and Ito's formula; Markov Processes, Kolmogorov's equations; Stochastic Differential Equations; Existence and Uniqueness; Girsanov Formula; etc.