| contributor author | Jian-Qiao Sun | |
| contributor author | C. S. Hsu | |
| date accessioned | 2017-05-08T23:26:32Z | |
| date available | 2017-05-08T23:26:32Z | |
| date copyright | September, 1988 | |
| date issued | 1988 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26297#694_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103506 | |
| description abstract | In this paper a statistical error analysis of the generalized cell mapping method for both deterministic and stochastic dynamical systems is examined, based upon the statistical analogy of the generalized cell mapping method to the density estimation. The convergence of the mean square error of the one step transition probability matrix of generalized cell mapping for deterministic and stochastic systems is studied. For stochastic systems, a well-known trade-off feature of the density estimation exists in the mean square error of the one step transition probability matrix, which leads to an optimal design of generalized cell mapping for stochastic systems. The conclusions of the study are illustrated with some examples. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Statistical Study of Generalized Cell Mapping | |
| type | Journal Paper | |
| journal volume | 55 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3125851 | |
| journal fristpage | 694 | |
| journal lastpage | 701 | |
| identifier eissn | 1528-9036 | |
| keywords | Density | |
| keywords | Design | |
| keywords | Dynamic systems | |
| keywords | Error analysis | |
| keywords | Errors | |
| keywords | Probability AND Stochastic systems | |
| tree | Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003 | |
| contenttype | Fulltext | |
