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Consider the target as the G(α, β) distribution and the candidate as the gamma G([ α], b) distribution (where [a] denotes the integer part of a).
a. Derive the corresponding Accept-Reject method and show that, when β = 1, the optimal choice of b is b = [ α]/α.
b. Generate 5000 G(4, 4 / 4.85) random variables to derive a G(4.85, 1) sample (note that you will get less than 5000 random variables).
c. Use the same sample in the corresponding Metropolis-Hastings algorithm to generate 5000 G(4.85, 1) random variables.
d. Compare the algorithms using (i) their acceptance rates and (ii) the estimates of the mean and variance of the G(4.85, 1) along with their errors. (Hint: Examine the correlation in both samples.)
Use the .05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight times among the three airlines.
Draw the complete decision tree and determine whether the product should be launched or not.
the following data represents the travel time in minutes to school for nine students enrolled in sullivans college
If x is the sample mean time for a random sample of n = 9 students, where is the x distribution centered, and how much does it spread out about the center (as described by its standard deviation)?
the following observations show the number of traffic violations given for speeding on the one interstate highway going
Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample half the size. Indicate the resulting alpha and beta. Present an argument that your study is worth doing with the s..
History of the public health issue or disease
What is the probability of no off-the-job accidents during a one-year period and what is the probability of at least two off-the-job accidents during a one-year period - what is the probability that exactly three workers tali public transportation da..
Write a 500 to 750 word paper in APA format describing the stucture, business model, and culture you selected. Provide justification for why you selected each element and explain how your choice may affect your business.
Suppose that a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1,2) represents the s..
in a study the data you collect is status of disease infection.in a study the data you collect is favorite type of
A manufacturer claims that the mean lifetime, mean, of its light bulbs is 52 months. The standard deviation of these lifetimes is 7 months. Ninety bulbs are selected at random, and their mean lifetime is found to be 55 months.
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