@article {10.3844/jmssp.2009.283.286, article_type = {journal}, title = {An Extension of Yoshida, Imoto, Higuchi and Miyano Result}, author = {Onoghojobi, B.}, volume = {5}, year = {2009}, month = {Dec}, pages = {283-286}, doi = {10.3844/jmssp.2009.283.286}, url = {https://thescipub.com/abstract/jmssp.2009.283.286}, abstract = {Problem statement: Different approaches to deal with dynamic model when it is studentized are presented. Approach: In this respect, the recursive formula for calculating state space in the canonical form. Results: The asymptotic distribution of their test under the linear system for the gene network and a studentized-dynamic linear model with Markov denoising switching for estimating time-dependent gene network structure were presented. A resultant studentized version for gene network state space model was obtained, as an improvement on the original model. Conclusion/Recommendations: The dynamic model with Markov switching for estimating time-dependent gene regulatory networks handled the problem of modeling change in an evolving time series. The studentized version incorporated the modeling change and test for heteroscedasticity.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }