Advances in Applied Probability, Vol. 48, No. 1 (MARCH 2016), pp. 199-214 (16 pages) We provide exact computations for the drift of random walks in dependent random environments, including k-dependent ...

Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...

The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...

This is a preview. Log in through your library . Abstract Let $[X_n, n \geq 0]$ be a Markov chain on a general state space X with transition probability P and stationary probability π. Suppose an ...

The course is concerned with behavior of random walks on certain infinite graphs which are currently in vigorous development. This is a topic of dicrete probability are full of surprising and ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...