On the Existence and Uniqueness of the Maximum Likelihood Estimators of Normal and Lognormal Population Parameters with Grouped Data

Table 5

Grouped data: 𝜏₁=−2, 𝜏₂=0, 𝜏₃=2, 𝜏₄=4, 𝜏₅=6.

S.S	𝑚			𝜈
𝑛	Average	A.W.	C.R.	Average	A.W.	C.R.
30	21.688	32.743	93.1%	183.834	659.789	79.8%
35	21.496	29.564	92.3%	180.633	569.356	82.7%
40	21.141	27.514	92.5%	175.077	554.142	84.1%
50	21.093	24.082	93.1%	170.522	360.508	82.7%
100	20.562	16.932	94.3%	158.738	266.687	89.1%