Displaying similar documents to “Proof(s) of the Lamperti representation of continuous-state branching processes.”

A note on the characterization ofsome minification processes

Wiesław Dziubdziela (1997)

Applicationes Mathematicae

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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

On the limit distributions of kth order statistics for semi-pareto processes

Magdalena Chrapek, Jadwiga Dudkiewicz, Wiesław Dziubdziela (1997)

Applicationes Mathematicae

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Asymptotic properties of the kth largest values for semi-Pareto processes are investigated. Conditions for convergence in distribution of the kth largest values are given. The obtained limit laws are represented in terms of a compound Poisson distribution.

An Approach to Wealth Modelling

Stoynov, Pavel (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 60G48, 60G20, 60G15, 60G17. JEL Classification: G10 The change in the wealth of a market agent (an investor, a company, a bank etc.) in an economy is a popular topic in finance. In this paper, we propose a general stochastic model describing the wealth process and give some of its properties and special cases. A result regarding the probability of default within the framework of the model is also offered.