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

Table 4

Grouped data: 𝜏₁=−1.5, 𝜏₂=1, 𝜏₃=3.5, 𝜏₄=6, 𝜏₅=8.5.

S.S	𝑚			𝜈
𝑛	Average	A.W.	C.R.	Average	A.W.	C.R.
30	21.752	32.374	92.4%	176.952	610.020	80.1%
35	21.381	29.635	92.5%	169.389	512.877	81.2%
40	21.247	28.552	92.6%	168.496	552.496	85.0%
50	21.179	24.738	93.8%	166.919	373.012	83.3%
100	20.507	17.132	94.3%	156.027	264.165	88.8%