Does a given vector-matrix pair correspond to a PH distribution?

Philipp Reinecke, Miklós Telek. Does a given vector-matrix pair correspond to a PH distribution?. Perform. Eval., 81:40-51, 2014. [doi]

@article{ReineckeT14-0,
  title = {Does a given vector-matrix pair correspond to a PH distribution?},
  author = {Philipp Reinecke and Miklós Telek},
  year = {2014},
  doi = {10.1016/j.peva.2014.08.001},
  url = {http://dx.doi.org/10.1016/j.peva.2014.08.001},
  researchr = {https://researchr.org/publication/ReineckeT14-0},
  cites = {0},
  citedby = {0},
  journal = {Perform. Eval.},
  volume = {81},
  pages = {40-51},
}