Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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The Counting Process of Which the Intensity Function Depends on States

  • Park, Jeong-Hyun (Department of Computer Science and Statistics, Kwandong University)
  • Published : 1997.04.01
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Abstract

In this paper we are concered with the counting processes with intersity function $g_n(t)$, where $g_n(t)$ not only depends on t but n. It is shown that under certain conditions the number of events in [0, t] follows a generalizes Poisson distribution. A counting process is also provided such that $g_i(t)$$\neq$$g_i(t)$ for i$\neq$j and the number of events in [0, t] has a transformed geometric distribution.

Keywords

References

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