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Suppose we are allowed to observe a random process Z(r) at two points in time, ro and ri .
Based on those observations we would like to estimate Z(t) at time t = t2 where t0 1 2 . We can view this as a prediction problem. Let our estimator be a linear combination of the two observations,
(a) Use the orthogonality principle to find the MMSE estimator.
(b) Suppose that for positive constants b and c. Show that in this case, the sample at time t = to is not useful for predicting the value of the process at time t = t2 (given we have observed the process at time t = t1 > to ). In other words, show that a = 0 .
Does a "follow-up reminder" increase the renewal rate on a magazine subscription? A magazine sent out 760 subscription renewal notices (without a reminder) and got 703 renewals.
a subsample from the current population survey is taken on weekly earnings of individuals their age and their gender.
a hypothesis test for a population proportion p is given below ho p 0.25 vs. ha p ne 0.25 ne means not equal for
you have a box with 3 red 4 white and 2 blue balls in it. suppose you take two balls out of a box without replacement
a statistics professor works tirelessly to catch students cheating on his exams. he has particular routes for his
Can a test of significance show a statistically significant relationship while a measure of association shows a weak relationship between the variables?
Pretend that you are a Finance person in a large dynamic company. Your dream is to become CFO someday, so you want to make good financial decisions.
Let m denote a natural number. Use any properties of the natural numbers to argue that m x m is not equal to m + m.
Choose the appropriate statistical procedure: an analysis examining how cholesterol (mg/dL) varies with weight (lbs), annual income ($), and height (inches).
suppose the lifetime of a particular appliance follows an exponential distribution with a mean of 10 years. what is the
Explain and show exactly how you are getting the correct information from your data set and how you are computing the probabilty.
what are binary variables and when would it be necessary to use binary variables in an optimization problem? give a
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