The number of minutes past the scheduled deparshy ture time, Ask an Expert

Statistics

The number of minutes past the scheduled depar ture time that jets with no mechanical problems leave the terminal in an overcrowded airport in the northeast are iid outcomes from a uniform population distribution of the form flz; 8) = e-1I1o,e1(z). A random sample of 1,000 departures is to be used to estimate the parametere and the expected number of minutes past the scheduled departure time that a jet will leave the terminal. Summary statistics from the outcome of the random sample include min(x) = .1, max(x) = 13.8, x = 6.8, s2 = 15.9.

a. Define a MLE for eand for the expected number of minutes past the scheduled departure time that a jet will leave the terminal. Are these MLEs functions of minimal sufficient statistics?

b. Use the MLEs you defined above to generate ML estimates of the respective quantities of interest.

c. Are the estimators in (a) unbiased? consistent? (Hint: E max(X) = G[n/( n + 1)I and E(max(X))2 = 82[n/(n + 2)1.)

d. Are the estimators in (a) MVUES?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91669671

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

It has been a bad day for the stock market and you have

It has been a bad day for the stock market and you have heard that only 30% of all stocks gained value. Suppose you have a portfolio of 10 securities and assume a binomial distribution for the number of your stocks that ...

Toy wooden blocks are packaged in bags of 9 one bag

Toy wooden blocks are packaged in bags of 9. One bag contains 6 maple blocks and 3 birch blocks, while a second bag contains 5 maple blocks and 4 birch blocks. One block is drawn from the first bag and placed into the se ...

We choose a number from the set 1 2 100 uniformly at

We choose a number from the set {1, 2, ..., 100} uniformly at random and denote this number by X . For each of the following choices, determine whether the events in question are independent or not. A = {X is even}, B = ...

A social psychologist recently developed a childhood

A social psychologist recently developed a childhood memories test that is intended to measure how people recall pleasant and unpleasant memories from childhood. Scores on this test range from 1 (very unpleasant) to 100 ...

A food safety guideline is that the mercury in fish should

A food safety guideline is that the mercury in fish should be below 1 part per million? (ppm). Listed below are the amounts of mercury? (ppm) found in tuna sushi sampled at different stores in a major city. Construct a 9 ...

Twelve different video games showing substance use were

Twelve different video games showing substance use were observed and the duration of times of game play? (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a ...

Kevin knows that the beta of his portfolio is equal to 1

Kevin knows that the beta of his portfolio is equal to 1, but he does not know the risk-free rate of return or the market risk premium. He also knows that the expected return on the market is 8.25 percent. What is the ex ...

The contents of a particular bottle of shampoo marked as

The contents of a particular bottle of shampoo marked as 150 ml are found to be 153 ml at an average, with a standard deviation of 2.5 ml. What proportion of shampoo bottles contain less than the marked quantity? Assume ...

Your environmental science professor designs an experiment

Your environmental science professor designs an experiment to see whether students in her class care about recycling. She places a recycling bin and a trash bin at the front of the class and then hands out a piece of pap ...

What are the uses and value of statistical significance

What are the uses and value of statistical significance testing and the p-value as demonstrated in the various analytical techniques (t-tests, ANOVA, chi-square, etc.). What's the fundamental reason we apply these techni ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert