Abstract <p>In this paper, it is shown that an arbitrary scale mixture of normal laws can be a stationary distribution of the stochastic random difference equation (first order autoregressive scheme).</p> <p>An example is presented of what the (random) diffusion coefficient should look like in order for a specific mixture to be a stationary distribution.</p>

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On Stationary Distributions of a Stochastic Random Difference Equation

  • V. Yu. Korolev,
  • N. R. Romanyuk

摘要

Abstract

In this paper, it is shown that an arbitrary scale mixture of normal laws can be a stationary distribution of the stochastic random difference equation (first order autoregressive scheme).

An example is presented of what the (random) diffusion coefficient should look like in order for a specific mixture to be a stationary distribution.