Show that this markov chain is aperiodic and irreducible

Assignment Help Engineering Mathematics

Reference no: EM131466693

Question: Suppose a (nonfair) coin is flipped successively with the probability of heads or tails on any trial being p and 1 - p, respectively. Define an infinite Markov chain where state Si corresponds to a landing of the coin that represents a run of exactly i heads on the most recent flips. Show that this Markov chain is aperiodic and irreducible. Is it positive recurrent?

Reference no: EM131466693

Questions Cloud

Find the shape of a closed loop : CHE 5101-Department of Chemical Engineering-Find the shape of the swimmers path if w = 0. That is, find the shape of a closed loop

At what sum should the customer stay : Simplified Blackjack. A game between a "dealer" and a "customer" is played with a (very large) mixed deck of cards consisting of equal numbers of ones, twos.

Comment on various dimensions of firm performance : Using financial ratio analysis, comment on the various dimensions of the firm's performance.

Determine there is a solution to the eigenvector problem : For the following special cases of the infinite random walk, determine if it is aperiodic, irreducible, and there is a solution to the eigenvector problem.

Show that this markov chain is aperiodic and irreducible : Suppose a (nonfair) coin is flipped successively with the probability of heads or tails on any trial being p and 1 - p, respectively. Define an infinite Markov.

Formulate this process in state-space form : Moving Average. Suppose two initial numbers are given and successive numbers are computed as the average of last two. For example, with 1 and 3, we generate.

Inequality which is rooted in powerlessness : Identify one specific way in which inequality contributes to this problem.Explain how and why inequality feeds this problem.

Examples of these kinds of current assets : What are some examples of these kinds of current assets, and what are the characteristics that make them suitable as a substitute for cash?

Define the distribution of competents and incompetents : In purest form the Peter Principle seems to imply two special features of a promotional system: once reaching a level of incompetence an individual never.

User Account

All Pages