Let Sn X 1 X n , where the Xs are independent, and X i has the distribution with parameters (1, (1 2) i ) To which distribution is the distribution of S n close for large n Write lim n f Sn (x) ...

Let Sn = X 1 +...+X n , where the Xs are independent, and X i has

Question:

Let Sn = X₁ +...+X_n, where the X’s are independent, and X_i has the Γ-distribution with parameters (1, (1/2)ⁱ). To which distribution is the distribution of S_n close for large n? Write lim_n→∞ f_Sn (x).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

See More Books

Question Posted: Jan 11, 2024 09:02 AM

See More 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.
Yangtze Company, Ltd. provides the following information for the month ended October 31, 2017 (amounts in Chinese yuan): sales on credit 280,000, cash sales 100,000, sales discounts 5,000, sales...
What are some of the nonverbal clues to deception?
Presented below are two independent situations. Situation 1 Conchita Cosmetics acquired 10% of the 200,000 shares of common stock of Martinez Fashion at a total cost of $13 per share on March 18,...
ELLA'S ELECTRONICS ACCOUNTING PROJECT PART 2Adjusting InformationAt the end of February, the following information is determined:a. One month of the business insurance coverage has expired.b. At the...
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,...
Refer to the CPA firm in Problem 13.20. In planning for next year, Cohen estimates that billable hours will increase by 10% in each of the six months. He therefore proceeds to hire a fifth CPA. The...
Lonnie lanazzo, owner of Anthony's Jewelers in Tulsa, Oklahoma, marks up diamond earrings 83% on cost. The earrings cost Anthony's Jewelers $120 each. At what price should Anthony's sell the...
The treating of repayment of debt as an expense in the cash flow statement is an example of?
What are the cellular and molecular mechanisms underlying neuronal development and axon guidance, including the roles of axon guidance cues, cell adhesion molecules, and cytoskeletal dynamics in...
... discuss the role of neurotrophic factors such as brain-derived neurotrophic factor (BDNF) and nerve growth factor (NGF) in neuronal survival, differentiation, and synaptic plasticity, and how...
1) Explain the history of law in western society and of criminal law in particular? 2) What is the role of common law in modern criminal law? 3) What are the various sources of criminal justice? 4)...
Sally Corporation has 80,000 shares of common stock (par value $8) outstanding. Required: Complete the following comparative tabulation based on two independent cases: Case 1: The board of directors...
(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....
How social media has changed in the past decade, according to its influencers: 1. How has the internet changed your life? 2. How has social media affected your life?
Do you think the leader is successful and why? Where are areas he/she can improve and why? General Motors is a world famous automobile manufacturing company headquartered in the United States. One of...
Our presentation showed a video of TOMS "One for one" as an organization conducting business ethics by providing a free pair of shoes to someone in need for every one pair sold. Please provide an...

Let Sn = X 1 +...+X n , where the Xs are independent, and X i has

Question:

Step by Step Answer:

By Proposition 6 S ...View the full answer

Probability And Stochastic Modeling

Students also viewed these Business questions