Episodes
In this lecture, the professor discussed classical inference, Linear regression, and binary hypothesis testing.
Published 06/29/15
In this lecture, the professor discussed Bayesian statistical inference, least means squares, and linear LMS estimation.
Published 06/29/15
In this lecture, the professor discussed classical statistics, maximum likelihood (ML) estimation, and confidence intervals.
Published 06/29/15
In this lecture, the professor discussed Bayesian statistical inference and inference models.
Published 06/29/15
In this lecture, the professor discussed classical inference, simple binary hypothesis testing, and composite hypotheses testing.
Published 06/29/15
In this lecture, the professor discussed Markov process definition, n-step transition probabilities, and classification of states.
Published 06/29/15
In this lecture, the professor discussed Markov process, steady-state behavior, and birth-death processes.
Published 06/29/15
In this lecture, the professor discussed Poisson process, merging, splitting, and random incidence.
Published 06/29/15
In this lecture, the professor discussed Markov Processes, probability of blocked phone calls, absorption probabilities, and calculating expected time to absorption.
Published 06/29/15
In this lecture, the professor discussed central limit theorem, Normal approximation, 1/2 correction for binomial approximation, and De Moivre–Laplace central limit theorem.
Published 06/29/15
In this lecture, the professor discussed limit theorems, Chebyshev's inequality, and convergence "in probability".
Published 06/29/15
In this lecture, the professor discussed derived distributions, convolution, covariance and correlation.
Published 06/29/15
In this lecture, the professor discussed Bernoulli process, random processes, basic properties of Bernoulli process, distribution of interarrival times, the time of the kth success, merging and splitting.
Published 06/29/15
In this lecture, the professor discussed multiple random variables: conditioning and independence.
Published 06/29/15
In this lecture, the professor discussed Poisson process, distribution of number of arrivals, and distribution of interarrival times.
Published 06/29/15
In this lecture, the professor discussed probability density functions, cumulative distribution functions, and normal random variables.
Published 06/29/15
In this lecture, the professor discussed multiple random variables, expectations, and binomial distribution.
Published 06/29/15
In this lecture, the professor discussed conditional expectation and sum of a random number of random variables.
Published 06/29/15
In this lecture, the professor discussed Bayes rule, Bayes variations, and derived distributions.
Published 06/29/15
In this lecture, the professor discussed probability as a mathematical framework, probabilistic models, axioms of probability, and gave some simple examples.
Published 06/29/15
In this lecture, the professor discussed conditional probability, multiplication rule, total probability theorem, and Bayes' rule.
Published 06/29/15
In this lecture, the professor discussed principles of counting, permutations, combinations, partitions, and binomial probabilities.
Published 06/29/15
In this lecture, the professor discussed conditional PMF, geometric PMF, total expectation theorem, and joint PMF of two random variables.
Published 06/29/15
In this lecture, the professor discussed random variables, probability mass function, expectation, and variance.
Published 06/29/15
In this lecture, the professor discussed independence of two events, independence of a collection of events, and independence vs. pairwise independence.
Published 06/29/15