Judging which mixtures fits better from Loglikelihood

From: gundalav <gundalav@xxxxxxxxx>
Date: Thu, 7 Aug 2008 06:54:06 -0700 (PDT)

Hi,

Below are the average loglikelihood of mixture model
over 5 components (k=5). The loglikelihood are learnt
using EM over three kinds of distribution: Lognormal, Gamma,
and Normal.

Since the average loglikelihood for Lognormal is the highest
over Gamma and Normal.

Is it safe to infer that Lognormal is the best distribution
to fit the data?
..
LOGNORMAL
k,loglik
1,-212.8506847
2,-205.5816305
3,-204.5489356
4,-203.0542678
5,-201.7842441

GAMMA
1,-968.587694
2,-955.1132214
3,-963.1998383
4,-967.1973333
5,-968.5640199

NORMAL
1,-1063.016157
2,-979.1302761
3,-952.2856567
4,-913.6550025
5,-881.6734428

Regards,
Gundala Viswanath
Jakarta-Indonesia
.

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