  Proton-proton collisions at new high energies ($\sqrt {s} =$ 2.36 and 7 TeV)
at LHC resulted into greater mean multiplicities ($<n>$) of charged particles
in the mid-rapidity region than estimated ones by different models and event
generators. Another significant observation in multiplicity data is the change
in slope in the distribution of primary charged hadrons in symmetric
pseudorapidity interval $|\eta|<$2.4. The change is most prominent with data at
$\sqrt{s} = 7$ TeV. These new observations merit further studies. We consider a
two-component model of particle production to analyze multiplicity
distributions of charged hadrons from proton-proton collisions at
centre-of-mass energies $\sqrt{s} = $ 0.9, 2.36 and 7 TeV in symmetric
pseudorapidity intervals $|\eta|$ of increasing width around the centre-of-mass
pseudorapidity $\eta_{cm} = 0$. The model, based on quantum statistical (QS)
formalism, describes multiplicity distribution by convolution of a Negative
Binomial Distribution (NBD), representing a chaotic component, and a Poisson
Distribution (PD), representing a coherent component of particle productions.
The behaviour of characteristic parameters of the model is followed by the LHC
data, while a scaling law, involving information entropy in quantum statistical
viewpoint and derived as a function of chaotic multiplicity obtained from the
two-component model, is not obeyed by the data, satisfactorily. An attempt to
match the measured multiplicity distributions and suggested convolutions with
values of characteristic parameters extracted from the data confirms
disagreement between the data and the model.
