@article { ISI:000183261400003,
	title = {A new type of discrete self-decomposability and its application to continuous-time Markov processes for modeling count data time series},
	journal = {Stochastic Models},
	volume = {19},
	number = {2},
	year = {2003},
	pages = {235-254},
	abstract = {We propose a family of extended thinning operators, indexed by a parameter gamma in [0, 1), with the boundary case of gamma = 0 corresponding to the well-known binomial thinning operator. The extended thinning operators can be used to construct a class of continuous-time Markov processes for modeling count time series data. The class of stationary distributions of these processes is called generalized discrete self-decomposable, denoted by DSD (gamma). We obtain characterization results for the DSD (gamma) class and investigate relationships among the classes for different gamma{\textquoteright}s.},
	issn = {1532-6349},
	doi = {10.1081/STM-120020388},
	author = {Zhu, R and Joe, H}
}
