ArticleOriginal scientific text

Title

A note on the characterization ofsome minification processes

Authors 1

Affiliations

  1. Institute of Mathematics and Computer Science, Częstochowa Technical University, Dąbrowskiego 73, 42-201 Częstochowa, Poland

Abstract

We present a stochastic model which yields a stationary Markov process whose invariant distribution is maximum stable with respect to the geometrically distributed sample size. In particular, we obtain the autoregressive Pareto processes and the autoregressive logistic processes introduced earlier by Yeh et al

Keywords

logistic process, maximum stability with random sample size, Pareto process, minification process

Bibliography

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  4. S. Janjić, Characterizations of some distributions connected with extremal-type distributions, Publ. Inst. Math. Beograd (N.S.) 39 (53) (1986), 179-186.
  5. V. A. Kalamkar, Minification processes with discrete marginals, J. Appl. Probab. 32 (1995), 692-706.
  6. P. A. W. Lewis and E. McKenzie, Minification processes and their transformations, ibid. 28 (1991), 45-57.
  7. R. N. Pillai, Semi-Pareto processes, ibid. 28 (1991), 461-465.
  8. W. J. Voorn, Characterization of the logistic and loglogistic distributions by extreme value related stability with random sample size, ibid. 24 (1987), 838-851.
  9. H. C. Yeh, B. C. Arnold and C. A. Robertson, Pareto processes, ibid. 25 (1988), 291-301.
Pages:
425-428
Main language of publication
English
Received
1996-09-30
Published
1997
Exact and natural sciences