Data for the final question 2:


   -4.43669852   0.24939291  -0.31054821  -1.31223250  -0.35324299  10.59608647  -0.53258126   0.64844945  -4.62197892
   -0.73932382  -2.07474343  -1.97418791  -2.79979883  -4.87552293  -0.18661366  -5.99426652  -0.19850883  -1.63613454
    1.24334681   2.09824300  -0.62614507  -1.37286590  -3.30310093  -0.66557480   0.83674960  -1.84370334   2.21945376
   -1.41108164   1.01596302  -1.62124698  -0.96379160  -5.35825555  -2.70080672  -3.80673575   1.00427240   3.44466296
   -0.92937501   2.36677153   1.84810574  -2.56347539  -2.11688012  -1.55144456  -1.92451680  -0.81009092  -2.38173159
   -5.17716512  -3.53806074   5.19325850   2.25771287  -1.19253913   3.22889747   2.31633754  -2.79227591  -2.64745090
   -4.07537869  10.45854648   0.62137419   1.21401180   0.60363900  -4.29469292  -2.54596834  -1.41629315   2.36199489
   -6.39308797 -10.91446051   1.23664186   8.80665462  -6.41525263  -2.36483864  -4.35876399   1.67881004  -1.90468286
   -0.41583573  -2.68182130   1.46639426  -5.90760034   0.38049403  -3.22286844  -3.81503106   3.34252070  -1.45098644
   -1.08739791  -1.59636187   1.01333963  -5.21605164  -8.72173187   0.06963863   0.71533222  -1.09755844  -6.97139104
   -2.87180735   2.67788042  -4.87682513  -0.46799215   0.09755169  -2.83115001  -5.35663164   0.97432624   3.74796851
   10.74323109


Notice we do not know if this data are from a Cauchy distribution or not.



Use the function cauchy.mle from the Package MLEcauchy
we can get two estimates:  mu and gamma

We want to find the 


(1) 90 % confidence interval of mu/gamma  using Jackknife

(2) same as above but using bootstrap percentile method.

(3) discuss (at least one but may be two) other possible ways of getting 90% confidence 
    intervals of mu/gamma,
    including any other additional assumptions etc.