Purchase Solution

Some questions about a Markov chain.

Not what you're looking for?

Ask Custom Question

Category: Statistics > Simple Regression
Subject: birth-death process
Details: Let a Markov chain have transition probabilities Pi,i+1 = 1/(i+1) and Pi,0 = i/(i+1) for i=0,1,2, . . . .
i) Is the chain positive recurrent? Or transient or null recurrent?
ii) Does a stationary distribution exist? If it does, what is it?
See also attachment.

Attachments
Purchase this Solution
Solution Summary

The following outlines the process for answering several questions involving a Markov chain. Specifically, whether or not the chain is recurrent and whether or not a stationary distribution exists.

Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

View More Free Quizzes
Related BrainMass Solutions

  • Stochastic Processes - Markov Chain

    280797 Stochastic Processes - Markov Chain This problem involves the use of Matlab. Step 1: Choose any Markov Chain with a 3x3 transition matrix that is irreducible and aperiodic.

  • Markov Chain: Invariant Distribution

    This solution provides a detailed, step-by-step explanation of how to solve the given problems involving a given Markov chain.

  • Markov Chain: Drawing the State Diagram of the Chain

    A particle moves on the states 1, 2, 3, and 4 according to a time-homogeneous Markov chain {Xn ; n ≥ 0 } with initial distribution p(0) = ( .2, .8, 0, 0 ) and transition matrix : p = [■([email protected]&0&.4&0@0&.6&0&.4@0&0&.6&.4)] a

  • Stochastic Processes : Poisson Process and Markov Chains

    Then {X0,X1,X2,.. .} is a Markov chain. (a) Find the transition probabilities of the Markov chain. (b) Find the stationary distribution of the Markov chain.

  • Fair coin tosses: are these Markov chains

    Are these Markov chains? If so, what is their transition matrix? ** Please see the attachments for the complete solution response ** This solution explains whether a given series is a Markov chain and calculates their transition matrix.

  • Branching Process - Markov Chain

    The solution shows that the probability of extinction in a Markov chain is certain if it is a branching process and martingale.

  • Probability Concepts and Applications

    Professional weather forecasting involves a process called "Markov chain", and this method allows you to calculate the probability of some future weather when interday wheathers are correlated.

  • Capital Budgeting

    Please see the attachments The solution explains some questions relating to determining the cash flows and calculation of NPV and IRR

  • Problems: Probability, Markov Chain, Baye's Theorem

    269039 Problems: Probability, Markov Chain, Bayes' Theorem 1. A bag contains 10 red, 12 green, and 8 yellow marbles.

View More Related Solutions