Joy on Echidnater follows distribution C: Please f(x|a,y) = a exp[-] fo for x > 0;...

Transcribed Image Text:

Joy on Echidnater follows distribution C: Please f(x|a,y) = a exp[-] fo for x > 0; a, y >0 (a) Find maximum likelihood estimator for the parameter a, assuming y is a constant and not a parameter. (3.5 marks) (b) Assuming y =1 and using our sample of drop bear joy S, given above find the MLE estimate in this case and obtain the plug-in distribution. (0.5 marks) (c) If you are going to use a small sample pf data to calculate an estimate of a to specify a single plug-in distribution, explain whether you can do it using the form you got in (a), (3.5 marks) Joy on Echidnater follows distribution C: Please f(x|a,y) = a exp[-] fo for x > 0; a, y >0 (a) Find maximum likelihood estimator for the parameter a, assuming y is a constant and not a parameter. (3.5 marks) (b) Assuming y =1 and using our sample of drop bear joy S, given above find the MLE estimate in this case and obtain the plug-in distribution. (0.5 marks) (c) If you are going to use a small sample pf data to calculate an estimate of a to specify a single plug-in distribution, explain whether you can do it using the form you got in (a), (3.5 marks)