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Suppose that X1,X2,...,Xn are i.i.d random variables on the interval [0,1] with density function: F(x|alpha) = [gamme(2alpha)/[gamma(alpha)]^2] * [x(1-x)]^(alpha -1) where alpha > 0 is a parameter to be estimated from the sample. It can be shown that E[X] = 1/2 and Var[X] = 1/ [4(2alpha+1)] a. How does the shape of the density depend on alpha? b. How can the method of moments be used to estimate alpha?c. What equation does the m.l.e. of alpha satisfy? d. What is the asymptotic variance of the m.l.e.?
your father has 88 feet of garden fencing so your garden has to have a perimeter of 88 feet. How big an area would you set aside for your garden?
Convert the data from your chosen source into an index.
Sketch a scale diagram of both radar contacts, a and b, how far is b from a and ct what heading relative to north is contact a from contact b?
What is the probability that Cass answers all of the questions correctly? What the probability that he answers 3 questions correctly?
five people arnie beth chas dave and ed weigh themselves. you are given the following information about their weights.
Similarly, one additional unit will be occupied for each 1 dollar decrease in rent. What rent should the manager charge to maximize revenue?
two truck drivers leave a cafe at the same time, traveling in different directions. one truck goes 8 mph faster thaan the other one. after 4 hr they are 408 miles apart. how fast is each truck going?
The region under the curve y = 3 tan2x from 0 to π/4 is rotated about the x-axis. Find the volume of the resulting solid. (in fraction form)
Describe the state space of this process. Explain why Xn forms a Markov chain and its transition probabilities.
plot the following parabolic functions in excel and then answer the discussion question below . use at least 8 points
do students at various universities differ in how sociable they are? twenty-five students were randomly selected from
Use a Venn diagram and the given information to estimate the number of elements in the indicated region.
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