Journal of Applied Probability
- J. Appl. Probab.
- Volume 51, Number 2 (2014), 512-527.
On a 'replicating character string' model
In Chaudhuri and Dasgupta's 2006 paper a certain stochastic model for 'replicating character strings' (such as in DNA sequences) was studied. In their model, a random 'input' sequence was subjected to random mutations, insertions, and deletions, resulting in a random 'output' sequence. In this paper their model will be set up in a slightly different way, in an effort to facilitate further development of the theory for their model. In their 2006 paper, Chaudhuri and Dasgupta showed that, under certain conditions, strict stationarity of the 'input' sequence would be preserved by the 'output' sequence, and they proved a similar 'preservation' result for the property of strong mixing with exponential mixing rate. In our setup, we will in spirit slightly extend their 'preservation of stationarity' result, and also prove a 'preservation' result for the property of absolute regularity with summable mixing rate.
J. Appl. Probab., Volume 51, Number 2 (2014), 512-527.
First available in Project Euclid: 12 June 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60G10: Stationary processes
Bradley, Richard C. On a 'replicating character string' model. J. Appl. Probab. 51 (2014), no. 2, 512--527. doi:10.1239/jap/1402578640. https://projecteuclid.org/euclid.jap/1402578640