### Show that all states of embedded markov chain are transient

Assignment Help Advanced Statistics
##### Reference no: EM13909089

(a) Consider a Markov process with the set of states {0, 1, .. .} in which the transition rates {qij} between states are given by qi,i+1 = (3/5)2for ≥ 0, qi,i-1 = (2/5)2for ≥ 1, and qij = 0 otherwise. Find the transition rate νout of state ifor each ≥ 0 and find the transition probabilities {Pij} for the embedded Markov chain.

(b) Find a solution {pi≥ 0} with J,p= 1 to (7.23).

(c) Show that all states of the embedded Markov chain are transient.

(d) Explain in your own words why your solution to (b) is not in any sense a set of steady-state probabilities.

Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.

#### Determining the risk and uncertainty

What do you think is the typical situation in the business world: risk or uncertainty? Can you think of situations in the business world or other real life situations where

#### Find the time average of the given quantity

Sketch the lower bound E [N(t)] /t ≥ 1/E [X] - 1/t on the same graph with (c). Sketch E rSN(t)+1 - tl as a function of t and find the time average of this quantity.

#### Organizational change-management

Can you tell me what role organizational change out of: e-business management, global leadership, managerial economics, and financial methods play in a management career and

#### Application methods for financial management

Prepare a cash budget with borrowing needed or repayments for November and December. (You will need to prepare a cash receipt schedule first).

#### Research study statistical testing

Suppose you are testing the differences in attitudes toward health care reform using Democrats, Republicans, and Independents. How would the median measure be used for this

#### Question regarding component cost of capital

A bond that has a \$1,000 par value (face value) and a contract or coupon interest rate of 11 percent. A new issue would have a floatation cost of 5 percent of the \$1,125 mar

#### Smith graphics-debt and equity decisions

On January 1, 2005, Smith Graphics, Inc., a product-labeling and graphics firm, borrowed \$300,000 cash from First BancCorp and issued a five-year, 8% promissory note. The no

#### Dividend adjustment model for regional software

Regional Software has made a bundle selling spreadsheet software and has begun paying cash dividends. The firm's chief financial officer would like the firm to distribute 25

### Write a Review

#### Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!