homework8 - Homework 8 36-325/725 due Friday Nov 2 NOTE:...

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Unformatted text preview: Homework 8 36-325/725 due Friday Nov 2 NOTE: Because of the test, this will be a short assignment. (1) Let and let be the empirical distribution function. Find the mean and variance of and show that, for each , . (2) In R type: data(quakes) help(quakes) names(quakes) x <- quakes$mag The data are magnitudes of earthquakes near Fiji. Estimate the cdf Compute a 95 per cent confidence envelope for . Note: If you are interested in the data, try this: pairs(quakes, main = "Fiji Earthquakes, N = 1000", cex.main=1.2, pch=".") ) (3) Let and be two distinct points. Find . 1 ! " ( % !"'& #$!" ! ! 31 ! ) 65 7"'65 420 ! " !" . ...
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