Let Sn = X 1 +...+X n , where the Xs are independent, and X i has
Question:
Let Sn = X1 +...+Xn, where the X’s are independent, and Xi has the Γ-distribution with parameters (1, (1/2)i). To which distribution is the distribution of Sn close for large n? Write limn→∞ fSn (x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
By Proposition 6 S ...View the full answer
Answered By
Anoop V
I have five years of experience in teaching and I have National Eligibility in teaching (UGC-NET) .
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
(i) Let X1, X2,.... Be r.v.s and let N be a r.v. taking the values 1, 2,..., all defined on the probability on the probability space ((, A, P). Define the function X as X (() = X1 (() + ... + X N (()...
-
Suppose that the random variables X1, . . . , Xk are independent and Xi has the exponential distribution with parameter i (i = 1, . . . , k). Let Y = min{X1, . . . , Xk}. Show that Y has the...
-
Let {S1, S2, . . . , Sn} be a collection of nonempty compact subsets of an m-dimensional linear space, and let x conv We consider the Cartesian product of the convex hulls of Si, namely Every point...
-
Examine existing HRM practices in your company or one that you know about. Which of them are the product of your countrys legal, economic, political or social institutions? Provide explanations for...
-
Repeat Example 8.1 for a machine identical to that considered in the example except that the stator pole-face angle is = 45.
-
Which of the following sorting algorithms are stable: insertion sort, merge sort, heap sort, and quick sort? Give a simple scheme that makes any sorting algorithm stable. How much additional time and...
-
What pressure gradient along the streamline, \(d p / d s\), is required to accelerate water upward in a vertical pipe at a rate of \(30 \mathrm{ft} / \mathrm{s}^{2}\) ? What is the answer if the flow...
-
Laurens Beauty Boutique has experienced the following weekly sales: Forecast sales for week 6 using the naïve method, a simple average, and a three-period movingaverage. e-26580 139156...
-
Why would someone choose Business as a program of study? Explain, What would be the pros and cons of studying Business Administration? What are some future plans a graduate can do once their degree...
-
The densities of independent r.v.s X 1 and X 2 are f 1 (x) = C 1 x 5 e 4x and f 2 (x) = C 2 x 8 e 4x , respectively, where C 1 and C 2 are constants. (a) Do we need to calculate these constants in...
-
Consider. (a) What is the mean of the total waiting time E{S 4 } ? (b) What is the probability that S 4 will be equal to E{S 4 } ? (c) When computing P(S 4 4}), can we set a = 1? Using software,...
-
A recent annual report for Ford Motor Company contained the following note: Significant Accounting Policies Depreciation and Amortization of Property, Plant, and Equipment Property and equipment are...
-
An economy has 100 people divided among the following groups: 25 have full-time jobs, 20 have one part-time job, 5 have two part-time jobs, 10 would like to work and are looking for jobs, 10 would...
-
As Keith Collins buys more and more of any good or service, his ____. a) total utility and marginal utility both decline b) total utility and marginal utility both rise c) total utility rises and...
-
Reservation wages In the mid-1980s, a famous supermodel once said that she would not get out of bed for less than \(\$ 10,000\) (presumably per day). a. What is your own reservation wage? b. Did your...
-
Haley Megan Fosnough-Biersmith goes shopping for shoes and has plenty of money with her. She will keep buying shoes until _______. a) her total utility equals the price b) her marginal utility equals...
-
Bargaining power and wage determination Even in the absence of collective bargaining, workers do have some bargaining power that allows them to receive wages higher than their reservation wage. Each...
-
In 2009, Samantha loaned her friend Lo Ping $15,000. The loan required Lo Ping to pay interest at 8% per year and to pay back the $15,000 loan principal on July 31, 2011. Lo Ping used the loan to...
-
(a) Water flows through the nozzle of a garden hose. Find an expression for m in terms of line pressure P 1 , ambient pressure P 2 , inside hose diameter D 1 , and nozzle outlet diameter D 2 . Assume...
-
Indicate whether Glenda can deduct the $5,000 payment in each of the following independent situations. a. Glenda is a supplier of medical supplies. In order to secure a large sales contract to the...
-
During January and February of the current year, Big Bang LLC incurs $3,000 in travel, feasibility studies, and legal expenses to investigate the feasibility of opening a new entertainment gallery in...
-
Assume the same facts as in Problem I:6-40, except that Big Bang LLC incurs $41,000 in expenses, it does not already own the other entertainment galleries and it does not own anything similar. a....
-
Q1: Discuss the types of interviews. Suppose you have got an invitation for the interview, discuss guidelines for interview preparation in detail. Q2: Write down the "letter of thanks" to the...
-
What do you believe to be optimal stimulation and optimal frustration during Freudian psychosexual stages?
-
1. How do readers' schemata affect their comprehension? What are some books (textbooks, novels, etc.) that were challenging for you to read due to your lack of background knowledge of the topic? What...
Study smarter with the SolutionInn App