Homework Answers
> ## install "rmutil" R package
>
> library(rmutil)
>
> data=rlaplace(n=50, m=0, s=1)
> data
[1] -1.30236491 1.44954964 0.14647383 -0.19840311 -1.58270860
3.01498590
[7] -0.03368618 -0.01649112 1.63712209 1.87807825 -0.19292235
-1.25757044
[13] 1.65227739 1.63162978 -0.20379632 -1.36775629 1.97616613
0.54970665
[19] -1.99288684 0.88957333 0.37725789 -0.42262610 -1.95727814
0.98419761
[25] 3.13923809 1.83653814 -0.20401601 -0.13804444 -1.69516214
0.09733094
[31] -2.30680813 0.19693882 -1.13176007 0.49130645 -0.11651602
-1.49790769
[37] -0.50380373 0.57563257 0.29256264 -0.85044427 -0.27626054
2.14790177
[43] 0.20260942 -0.06807347 0.59691364 -2.03365779 -0.53093729
0.36291089
[49] -0.35579759 -0.87894641
>
> # Arguments
>
> # n number of values to generate
> # m vector of location parameters.
> # s vector of dispersion parameters.
Add Answer to:
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3 a) Suppose that we wish to generate observations from the discrete distribution with probability mass function 2)+1 20 x=1,2, 3, 4, 5 Clearly describe the algorithm to do this and give the random numbers corresponding to the following uniform(0,1) sample. 0.5197 0.1790 0.9994 0.6873 0.7294 0.5791 0.0361 0.2581 0.0026 0.8213 NB: Do not use R for this part of the question. two numbers rolled. Write an R function which will generate n random rolls of a pair b) Consider...
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Let X1 Xn be a random sample from a distribution with the pdf f(x(9) = θ(1 +0)-r(0-1) (1-2), 0 < x < 1, θ > 0. the estimator T-4 is a method of moments estimator for θ. It can be shown that the asymptotic distribution of T is Normal with ETT θ and Var(T) 0042)2 Apply the integral transform method (provide an equation that should be solved to obtain random observations from the distribution) to generate a sam ple of...
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