Question

In: Statistics and Probability

Hello! I have a question about the following problem, not sure how to approach it... This...

Hello! I have a question about the following problem, not sure how to approach it...

This is from Mathematical Statistics and Data Analysis, Chapter 11, Problem 11.41

The Hodges-Lehmann shift estimate is defined to be d =median(Xi −Yj), where X1 , X2 , . . . , Xn are independent observations from a distribution F and Y1,Y2,...,Ym are independent observations from a distribution G and are independent of the Xi.

  1. Show that if F and G are normal distributions, then E(d) = μx − μy.

  2. Why is d robust to outliers?

  3. Use the bootstrap to approximate the sampling distribution and the standard error of d.

  4. From the bootstrap approximation to the sampling distribution, form an approximate 90% confidence interval for d

Thank you

Solutions

Expert Solution


Related Solutions

So for the following question I really want to understand how to approach the problem. I'm...
So for the following question I really want to understand how to approach the problem. I'm having a really hard time understanding the concept so a detailed answer (that's also dumbed down) will be much appreciated! If a drug has a half-life of 10 hours and is taken orally, how long will it take until the subject achieves a steady state drug concentration?
I have a question that has 3 parts to it and I'm not sure about the...
I have a question that has 3 parts to it and I'm not sure about the answers. Could someone please give me the answers and maybe explain a little as well? Would be greatly appreciated! Question 1: Part A) Suppose Home has 500 units of capital and 250 units of labor and Foreign has 1000 units of capital and 3000 units of labor. Which of the following statements is true? a) Home is more capital abundant than Foreign b) Foreign...
I have a concept question that I am not sure how to answer: ABC Company is...
I have a concept question that I am not sure how to answer: ABC Company is in the process of preparing a budget for the upcoming year. The marketing department has just increased the number of units in the sales budget by a significant 50% as compared to the last sales budget that was prepared for the year. Explain the impact this change will have on the Cash Budget. Be specific about… how the components of the Cash Budget will...
I have a quick question about this C ++ problem in my intro class. I have...
I have a quick question about this C ++ problem in my intro class. I have been able to get the first answer consistently when I test it, but my second seems to either be high or low no matter how I change it. Can you show me how you would do this problem with the setprecision(2) Paula and Danny want to plant evergreen trees along the back side of their yard. They do not want to have an excessive...
Hello, I have a question about the heat equation with Non-homogeneous Boundary Conditions in Differential Equations....
Hello, I have a question about the heat equation with Non-homogeneous Boundary Conditions in Differential Equations. u_t = 4u_xx u(0, t) = 2 u_x(3, t) = 0 u(x, 0) = x. If available, could you explain the solution in detail? Thank you.
Hello, I am currently taking software design and analysis class and have a question about those...
Hello, I am currently taking software design and analysis class and have a question about those 3 in cpp, can you please help me? thank you - What is the complexity of pop()? push()? top()? size()? isEmpty()? - Write a C++ implementation of push() in a linked-chain implementation of stack - Write a C++ implementation of pop() in a linked-chain implementation of stack
I am not sure how to approach this. You are managing a bake sale for a...
I am not sure how to approach this. You are managing a bake sale for a club at your school. It’s being held each weekend in the fall that the football team has a home game. This year, there will be five home games. The club sells cookies in packages of two dozen. The selling price per package is $8.65. The packaging material costs $.11 (11 cents) per package. You pay the regular kitchen staff a direct labor cost for...
Hello, I have an online discussion assignment due. and I don't have an idea about the...
Hello, I have an online discussion assignment due. and I don't have an idea about the questions. 1. Analyze economic choices and trade-offs 2. Analyze economic models. Would you help me with that? Typed answer is preferred. Thank you very much in advance! -------------------------------------------------------------------------- D1: Should Abortion Be Leagal Discussion Expectations Respond to at least two other peer postings.  Be substantive and follow up on your comments and questions. Do you agree or disagree and why.  Do you have questions based on...
Hello, I have the following question below regarding Audit Assertions. The answer says it is D...
Hello, I have the following question below regarding Audit Assertions. The answer says it is D and I would really appreciate it if you could provide me with an explanation. Thanks in advance! ------------------------------------------------------------------------------------------------------------------- Q: Which of the following would not be considered a relevant assertion when testing transactions and events during a client audit? A. Cutoff B. Valuation, allocation, and accuracy C. Existence and occurrence D. Rights and obligations
Hello, I have been trying to answer this question for the last hour and I am...
Hello, I have been trying to answer this question for the last hour and I am still struggling could someone help me? The deadline is in 1hour! Perform an analysis of variance on the following data set. Do this by answering the questions below. Group 1 Group 2 Group 3 82 87 97 91 90 99 93 91 104 94 99 105 94 101 106 95 115 109 99 118 110 101 114 103 117 105 121 106 121 106...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT