6.3-7. Let Y₁ Y2 << Y19 be the order statisticsof n = 19 independent observations from the exponentialdistribution with mean 0.(a) What is the pdf of Y₁?(b) Using integration, find the value of E[F(Y₁)], whereF is the cdf of the exponential distribution.

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Answered: 6.3-7. Let Y₁ Y2 << Y19 be the order…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Lorenz 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 1983
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6.3-7. Let Y₁ Y2 << Y19 be the order statistics of n 19 independent observations from the exponential distribution with mean 0. = (a) What is the pdf of Y₁? (b) Using integration, find the value of E[F(Y₁)], where F is the cdf of the exponential distribution.