数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 201-214.

• 论文 • 上一篇    下一篇

ON THE SPH-DISTRIBUTION CLASS

史定华,郭进利,刘黎明   

  1. Department of Mathematics, Shanghai University,College of Management, University of Shanghai for Science and Technology,Department of Industrial Engineering and Engineering Management The Hong Kong University of Science and Technology
  • 出版日期:2005-04-20 发布日期:2005-04-20
  • 基金资助:

    Supported by the National Natural Science Foundation of China (70171059)

ON THE SPH-DISTRIBUTION CLASS

 SHI Ding-Hua, GUO Jin-Li, LIU Li-Meng   

  • Online:2005-04-20 Published:2005-04-20
  • Supported by:

    Supported by the National Natural Science Foundation of China (70171059)

摘要:

Following up Neuts’ idea, the SPH-distribution class associated with bounded
Q matrices for infinite Markov chains is defined. The main result in this paper is to
characterize the SPH class through the derivatives of the distribution functions. Based on
the characterization theorem, closure properties, the expansion, uniform approximation,
and the matrix representations of the SPH class are also discussed by the derivatives of
the distribution functions at origin.

Abstract:

Following up Neuts’ idea, the SPH-distribution class associated with bounded
Q matrices for infinite Markov chains is defined. The main result in this paper is to
characterize the SPH class through the derivatives of the distribution functions. Based on
the characterization theorem, closure properties, the expansion, uniform approximation,
and the matrix representations of the SPH class are also discussed by the derivatives of
the distribution functions at origin.

Key words: Phase type distribution;absorbing Markov chain; operator theory,;SPH-
distribution; properties

中图分类号: 

  • 60E05