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Suppose that p(x) is some fixed distribution and that we wish to approximate it using a Gaussian distribution q(x) = N (x|μ, Σ). By writing down the form of the KL divergence KL(p q) for a Gaussian q(x) and then differentiating, show that minimization of KL(p q) with respect to μ and Σ leads to the result that μ is given by the expectation of x under p(x) and that Σ is given by the covariance.
A year ago, Melissa purchased 50 shares of common stock for $20 per share. during the year, the value of her stock decreased to $18 per share. If the stock did not pay a dividend during the year, what yield did Melissa earn on her investment?
What incentives might the management of Lambert have to classify the issuance as equity instead of debt? Do you think that the issuance should be classified as debt or equity?What might Lambert's external auditors think?
You plan to work on a master's and perhaps a PhD. If graduate school costs $24,580 per year, approximately how long will you be able to stay in school based on these funds?
a 1000 bond with a coupon rate of 5.4 paid semiannually has five years to maturity and a yield to maturity of 7.5. if
9.on january 1 2010 kinney inc. an electing s corporation has 4000 of aep and a balance of 10000 in aaa. kinney has two
Presented below is summarized information for Johnston Co., which sells merchandise on the installment basis. 2014 2015 2016 Sales (on installment plan) $250,000 $260,000 $280,000 Cost of sales 155,000 163,800 182,000 Gross profit $ 95,000 $ 96,20..
A local finance company quotes a 15 percent interest rate on one-year loans. So, if you borrow $20,000, the interest for the year will be $3,000. Because you must repay a total of $23,000 in one year, the finance company requires you to pay $23,000/1..
Construct a 95% confidence interval for the difference in the mean scores. What assumptions are necessary?
elk county telephone has paid the dividends shown in the following table over the past 6 years.year dividend per
Taxes influence dividends, firms manage dividends, and most firms do not pay dividends
capital co. has a capital structure based on current market values that consists of 27 percent debt 19 percent
Fill the following table for cookies sold in a bakery. Indicate by a checkmark which customer requirements and which technical requirements are related. Use "√" to show the relation and "x" to indicate that there is no relation.
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