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Probability spaces; Combinatorial analysis; Discrete random variables; Expectation of discrete random variables; Continuous random variables; Jointly distributed random variables; Expectations and the central limit theorem; Moment generating functions and characteristic functions; Random walks and poisson processes.
Random walk; Markov chains; Poisson processes; Purely discontinuous markov processes; Calculus with stochastic processes; Stationary processes; Martingales; Brownian motion and diffusion stochastic processes.
Probability; Nature of statistical methods; Empirical frequency distributions of one variable; Theoretical frequency distributions of one variable; Elementary sampling theory for one variable; Correlation and regression; Theoretical frequency distributions for correlation and regression; General principles for testing hypotheses and for estimation; Testing goodness of fit; Small sample distributions; Statistical design in experiments; Nonparametric methods.
A balanced presentation of both theoretical and applied material with numerous problem sets to illustrate important concepts. Demonstrates the use of computers and calculators to facilitate problem solving, as well as numerous applications to illustrate basic theory.
An excellent introduction for computer scientists and electrical and electronics engineers who would like to have a good, basic understanding of stochastic processes! This clearly written book responds to the increasing interest in the study of systems that vary in time in a random manner. It presents an introductory account of some of the important topics in the theory of the mathematical models of such systems. The selected topics are conceptually interesting and have fruitful application in various branches of science and technology.
An edgy and ambitious debut by a powerful new voice in contemporary literary fiction Monday, Kierk wakes up. Once a rising star in neuroscience, Kierk Suren is now homeless, broken by his all-consuming quest to find a scientific theory of consciousness. But when he’s offered a spot in a prestigious postdoctoral program, he decides to rejoin society and vows not to self-destruct again. Instead of focusing on his work, however, Kierk becomes obsessed with another project—investigating the sudden and suspicious death of a colleague. As his search for truth brings him closer to Carmen Green, another postdoc, their list of suspects grows, along with the sense that something sinister may be ha...
Elements of probability; Random variables and expectation; Special; random variables; Sampling; Parameter estimation; Hypothesis testing; Regression; Analysis of variance; Goodness of fit and nonparametric testing; Life testing; Quality control; Simulation.