In this question part (iii) a What is the reason to use degree of freedom 5-1-1=3 instead of using 5-1=4 since parameter value is given we didn't estimate. However I found similar question in Ch 12 page 63. Also a note given why DF 4-1=3 is used here since the parameter value is given already in question Please clarify
(iii) The following table gives the numbers of occupants in 2,423 cars observed on a road junction during a certain time period on a weekday morning. Number of occupants 1 2 3 4 5 6 Frequency of cars 1,486 694 195 37 10 1 The above data were modelled by a zero-truncated Poisson distribution as given in (i). The maximum likelihood estimate of θ is 0.8925 and the Cramer-Rao lower bound on variance is 5.711574 * 10^ -4 (you do not need to verify these results.)
So the estimate wording is identification as in Ch 12 question only a parameter value is given. So whenever this estimate wording present...we can subtract 1 degree of freedom by assumption that parameter is estimated... Correct?
