Example 4.11 Find MLE of parameter(s) in distributions (b) Poisson P(x,x) = e-xxx x! (d) Exponential f(x,x) = Xe-x; = {0, 1, 2,...} x>0
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- 2Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) = x10 Lorenz curve for 1963 g(x) = x'4 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. What is the Gini index for 1963? (Round to three decimal places as needed.) What is the Gini index for 1983? (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 B. Total assets were more equally distributed in 1983Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
- May I know how to prove that the posterior distribution also follows Gamma distribution and so, what's the parameter? Thank you.11 Assume the GPAS of high school students, X, follows a continuous uniform on the domain 1Question 3 Find the average rate of change on the interval specified for real numbers h. g(x) = −5x³ on [−5, −5 + h](1.5,2) 1.5 (0,7, 0.2) f0.7,0.2) O5 ー15 -0.5 0.5 1.5 - 0.57 (-1.2,-1) - 15 -2 what are the values Inthe losed interval (-1.2,1.5) where 'undehned? What are the crithcal valuesof f? at x = %3D Where is f's0? xin theinterval Where is f'Calculate the average rete of change of the given function fover the intervals (a, a ) where h 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h-0.01, 0.001, and 0.0001.) HINT (See Fample 4.) To00'o-I'm working on inflation forecasting with quarterly inflation data for 1960 to 2022 using ARIMA model. The initial data is non-stationary. After the first differencing, based on the results of the p-value, it shows that the data is stationary. Then plot the ACF and PACF after first differencing, as attached pictures.With the graph of ACF and PACF, how can I define p, d, q for my ARIMA (p, d, q) model?ThankyouRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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