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Let f(x; θ) be a mixture of M univariate distributions; θ = (θ1, . . . , θM);
Assume no prior, M = 2 and f(x; θm) = N(x, µm, σm), m = 1, 2.For M = 2, assume you take the first observation X1 and define the following estimates µ1 = X1, with π1 =1/N, and µ2 =Sum(n=2 to N) of Xn, with π2 =N-1/N.
For M = 2 assume σ1 = σ2.
Write out the MLE equations for the parameters when the Yn's are observed and then derive the iterations of an EM algorithm for the situation in (2d) when the Yn's are not observed.
Can you propose a different solution to this degeneracy without imposing σ1 = σ2? How would the EM iterations change?
We expect to have a positive relationship between Advertising and Demand.
According to a report released by CIBC entitled "Women Entrepreneurs: Leading the Charge," the average age for Canadian businesswomen in 2008 was 41
Injector pump and injectors tested and found OK
Calculate the total tax bill for both low and high income individuals in both countries and fill in the table above with your results and what is the unemployment rate
Determine whether the given value is a statistic or a parameter.
the westhouser paper company in the state of washington currently has an option to purchase a piece of good timber
How many people were polled?
Find the average time a plane must wait in line before itcan land.c.Calculate the average time it takes a plane to clear therunway once it has noti?ed the airport that it is in thevicinity and wants to land.d.The FAA has a rule that an air traf..
a. Express the orginal claim in symbolic form. b. Identify the null and alternative hypothesis
Standard normal distribution: finding the probability that a randomly selected cell phone bill is between 60 and $83?
What test or tests would you use to rule out chance from causing the apparent differences in these data and is there a significant correlation?
Can the company rely on the fact that the strength of the chemical is identical from batch to batch and from barrel to barrel and what is the mean strength of the chemical in these stored barrels? How prccisc is that estimate?
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