Why are the numbers of Logia and Zoan Devil Fruit users lower when compared to Paramecia users? From the wikia:

                    Canon   Non-Canon   SBS
Paramecia -          49*       15        2
Zoan -               17         3        0
Logia -              11         3        0
Unspecified -         0         1        1
Total Devil Fruits - 77*       22        3


It is clear that Paramecia users outnumber both Zoan and Logia users. Is there any specific reason for that?

I think that more Zoan users mean more animals, so it will have less creativity (for attacks) compared to other Devil Fruits. So that may be a reason for less Zoan users till now.

But what about Logia? Most Logia users are big-shots.
I think the answer is pretty simple. Logia Devil Fruits give you the power to become an element, Zoan fruits give you the power to become an animal, Paramecia fruits are those which allow you to do anything else. 

Imagine if you divided all cars you saw into Volvos, Peugeots, and Others. You'd expect far more of the third category because it's definition is broader. So out of all the Devil Fruits in existence, you'd expect more to be Paramecia than others. 

I think Logia should be even more under reported than they are, as they are stated to be the rarest and most powerful of the three types of fruit, but at the Whitebeard War, many of the most powerful men in the world were shown, so the fruits we've seen are skewed towards the more powerful.