Question: Let {N(t), t 0} be a renewal process whose interarrival times Xi, i 1, have distribution F. (a) The random variable XN(t)+1 is

Let {N(t), t ≥ 0} be a renewal process whose interarrival times Xi, i ≥ 1, have distribution F.

(a) The random variable XN(t)+1 is the length of the renewal interval that does what.

(b) Show that XN(t)+1 ≥st Xi .

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Theory Of Probability Questions!

Q:

Jane Harper was 50 years old when one morning she slipped and fell down a flight of stairs leading from her apartment to the parking lot. The ice and snow had accumulated on the stairs and other...

Q:

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Q:

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

Q:

Introduction and learning objectives When you were learning about operational analysis earlier in the term, we talked about jobs that require multiple visits to the CPU (or servers) to receive their...

Q:

11. Let be a renewal process whose interarrival times , have distribution F. (a) The random variable is the length of the renewal interval that does what. (b) Show that .

Q:

Stat-3503/Stat-8109 Airoldi/Fall-21 problem set no. 1 due monday 10/25 before lecture starts learning objectives. compute likelihoods, both for a generic sample, i.e., (x1, ..., xn), and for a...

Q:

problem 3. set-up: you collect a random sample of articles penned by FZ and count how many times he uses the certain word I in each of the articles in your sample, (x1, ..., En). In this set-up, Xi...

Q:

show all explanations for all questios please 4. Let {X (1).1 2 0) be a Poisson process with rate A. Let T. denote the arrival time of the nith event. (a) Find E[Tm], the expected arrival time of the...

Q:

Q.2. Consider a bank with five tellers and one queue, which opens its doors at 9 A.M. closes its doors at 5 P.M., but stays open until all customers in the bank at 5 P.M. have been served. Assume...

Q:

Q.2. Consider a bank with five tellers and one queue, which opens its doors at 9 A.M. closes its doors at 5 P.M., but stays open until all customers in the bank at 5 P.M. have been served. Assume...

Q:

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Q:

a. What are the major areas in finance? b. Besides wanting to pass this class, why do you need to understand finance?

Q:

Dromeda Limited has prepared the follow-ing comparison (in thousands): Required: 1. Which of the companies above illustrates higher quality of earnings? Explain. 2. Suggest four factors that would...

Q:

The Collins have decided to sell their primary residence, for the FMV of $ 1 0 , 8 4 4 , 1 4 2 . How much of the gain from the sale can they EXCLUDE from income assuming they file a joint income tax...

Q:

What is the definition of cooperative strategy, and why is this strategy important to firms competing in the current competitive landscape?

Q:

26. One of the numbers 1 through 10 is randomly chosen. You are to try to guess the number chosen by asking questions with "yes-no" answers. Compute the expected number of questions you will need to...

Q:

1. Let X be a random variable with probability density function $$f(x) = \begin{cases} c(1-x^2) & -1

Q:

2. A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months) by $$f(x) = \begin{cases} Cxe^{-x/2} & x>0\\ 0 &...

Q:

Six Measures of Solvency or Profitability The following data were taken from the financial statements of Gates Inc. for the current fiscal year. Property, plant, and equipment (net) Liabilities:...

Q:

The going concern concept in accounting is best described as: The organisation should match expenses and revenues to the period in which they occurred The organisation should be accounted for as if...

Q:

3 of 40 View Policies Current Attempt in Progress -/2.5 E Coronado Industries purchased a depreciable asset for $590000 on January 1, 2018. The estimated salvage value is $59000, and the estimated...