In the last years there are some examples of description of new species without having type material, mostly in birds (e.g. the owl Strix omanensis, at present not accepted as a valid taxon). There is a key paper about this topic, which I attach for a better understanding of the problem. Usually, the main reason for the lack of type material is because there are rare, elusive and/or endangered species and it is not possible or quite difficult to obtain skins for a full and proper description.