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Generalizations of PPPs are useful in a large variety of applications. A few of the better known of these point processes are presented here, with emphasis on the processes themselves, not the applications. Marked processes are relatively simple extensions of PPPs that model auxiliary phenomena related to the point distribution. Other processes model the point-to-point correlation that may exist between the otherwise random occurrences of points. These processes include hard core processes and cluster processes. Cox processes are briefly reviewed, along with two stochastic processes, namely, Markov modulated Poisson processes and filtered processes. Gibbs (or Markov) point processes are not straightforward generalizations of PPPs. Generating realizations of Gibbs processes is typically done using MCMC methods. [ABSTRACT FROM AUTHOR]