CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
Stationary random processes form a foundational class of models in probability theory, characterised by probabilistic properties that remain invariant under time shifts. Limit theorems for such ...
Will a certain tritium atom decay by a certain time? According to our current science, this question concerning physical phenomena should be answered by sampling from a probability distribution, a ...
Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...
Probability inequalities provide bounds on the likelihood that a stochastic process deviates from its expected behaviour. They encompass a broad class of results—such as exponential, sub-Gaussian and ...
CATALOG DESCRIPTION: Advanced topics in random processes: point processes, Wiener processes; Markov processes, spectral representation, series expansion of random processes, linear filtering, Wiener ...
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