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On a ‘Replicating Character String’ Model
| Content Provider | Scilit |
|---|---|
| Author | Bradley, Richard C. |
| Copyright Year | 2014 |
| Description | 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0ADC45EAFEAA46D887ED4B2A2FC3F154/S0021900200011396a.pdf/div-class-title-on-a-replicating-character-string-model-div.pdf |
| Ending Page | 527 |
| Page Count | 16 |
| Starting Page | 512 |
| ISSN | 00219002 |
| e-ISSN | 14756072 |
| DOI | 10.1017/s0021900200011396 |
| Journal | Journal of applied probability |
| Issue Number | 02 |
| Volume Number | 51 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2014-06-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of applied probability Mathematical Physics Replicating Character String Absolute Regularity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
