How to estimate a parameter in R- sample with replace

[john3]

I have a txt file with numbers that looks like this - (with 100 numbers)

  [1]   7.1652348   5.6665965   4.4757553   4.8497086  15.2276296  -0.5730937
  [7]   4.9798067   2.7396933   5.1468304  10.1221489   9.0165661  65.7118194
 [13]   5.5205704   6.3067488   8.6777177   5.2528503   3.5039562   4.2477401
 [19]  11.4137624 -48.1722034  -0.3764006   5.7647536 -27.3533138   4.0968204

I need to estimate theta MLE parameter from this distrubution -

and I need to estimate theta from a sample of 1000 observations with replace, and save the sample.

How can I estimate theta like this? I have no information about normal distrubation

[StatSteph]

Take a look at this: FAQ: Homework Policy

I'll give you a hint - you need to calculate the MLE on paper first. You're given a distribution and will need to do a bit of calculus to find the MLE. Then plug in your numbers into what you end up with on paper in R.

[john3]

@StatSteph

and will need to do a bit of calculus to find the MLE. Then plug in your numbers into what you end up with on paper in R

Hi, thank's for your answer.

I have a somewhat related question here

find MLE od theta from cauchi distrubtion with Newton Rapson method

I have this sample data - > dput(my_vec) c(7.16523478153752, 5.66659652818595, 4.47575534893755, 4.84970857977856, 15.2276296414708, -0.573093658844655, 4.97980673868322, 2.73969325233614, 5.14683035133365, 10.1221488713611, 9.01656611721311, 65.711819422978, 5.52057043354834, 6.30674880627702, 8.67771771267678, 5.2528503049587, 3.50395623925858, 4.24774012371174, 11.4137624410312, -48.1722033880239, -0.376400642113356, 5.76475359419462, -27.353313803102, 4.09682042042852, 5.03373747558625, 3.8261660769812, 4.43580895525249, 4.22242932760446, 4.44905425775097, 4.98475525084258, 3.6416524979406, 3.81767927422987, -93.2141354888589, 5.01103555428068, 5.38206564752185, 3.0296536606134,…