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

Table 1

Grouped data: 𝜏₁=2, 𝜏₂=2.5, 𝜏₃=3, 𝜏₄=3.5, 𝜏₅=4.

S.S	𝑚			𝜈
𝑛	Average	A.W.	C.R.	Average	A.W.	C.R.
30	21.992	33.374	90.9%	245.490	1517.674	70.7%
35	21.665	31.882	91.7%	229.715	2810.490	78.8%
40	21.441	29.207	92.9%	231.326	2356.412	81.4%
50	21.211	25.697	93.4%	222.684	1632.301	82.9%
100	20.614	17.983	94.5%	199.014	647.065	85.6%