An estimator for a Cumulative distribution function

#1
The salaries in a company distribute in a cumulative distribution function,

λ is a constant.
  1. Am I correct to understand that η represents the minimum salary that is taken into account, and that the probability for every single salary is in relation to it? i.e the bigger the minimum salary, the smaller the probability becomes for every salary in the function.
  2. How can I calculate an estimator for η by moments and with n values?
Thank you
 

fed2

Active Member
#2
for 2. you will have to compute the mean and variance of Y, by taking appropriate integrals, then set them equal to the sample moments Y_bar and variance of Y. You'll probably have to differentiate with respect to y to get the pdf.

see how that goes....