Mathematics, 10.12.2019 05:31, plutoaliko99
Suppose that we have n i. i.d. random variables x1, x2, xn, each with the following probability function (as usual, 0 < θ < 1 is unknown): 2 (a) if the prior distribution (pd. f) of θ ls uniform(q 1), what is the posterior pd. f fex(le)? hint: consider a generic set of sample values x - ( , tn) and let ni be the number of the observations in the sample that are equal to i (with i -0,1,2,3). now apply bayes' rule fx(x) "ignoring" the denominator, which is part of the normalizing constant of the posterior density. by inserting the f(x|θ)'s, factoring out the parts that do not depend on θ and merging then into the normalizing constant, you should recognize that the posterior is a beta(a, b) density. what are o and b? (b) if you want a number rather than a p. d.f. as your estimate, there are several options: the conditional expectation is one. compute θ e'(9x-z), and express it in terms of no, , n3. now write the conditional expectation (9 x) as a r. v. and show that, for large n, it is approximately equal to al. (c) finally, assume that we have a sample size of n 10 with sample values æ (3.0, 2, 1,3,2, 1,0,2, 1) compute the expression for the posterior density and roughly plot it. also, compute the mode of the posterior, i. e. the value of θ that maximizes the posterior pdf. felx(81x)
Answers: 2
Mathematics, 21.06.2019 14:30, meandmycousinmagic
Select the correct answer. what is the surface area of the victory podium shown here? include all surfaces of the podium, including the bottom. a. 61.5 square feet b. 61.75 square feet c. 65.25 square feet d. 69 square feet
Answers: 2
Mathematics, 21.06.2019 20:30, psychocatgirl1
Answer asap evaluate 4-0.25g+0.5h4−0.25g+0.5h when g=10g=10 and h=5h=5.
Answers: 3
Mathematics, 21.06.2019 22:00, Thejollyhellhound20
The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.
Answers: 1
Mathematics, 22.06.2019 00:00, berliedecius4051
Answer this question i need as soon as possible
Answers: 1
Suppose that we have n i. i.d. random variables x1, x2, xn, each with the following probability fun...
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