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Please use this identifier to cite or link to this item:
http://krishi.icar.gov.in/jspui/handle/123456789/42741
Title: | Richards Stochastic Differential Equation Growth model and its Application |
Other Titles: | Not Available |
Authors: | Himadri Ghosh Prajneshu |
ICAR Data Use Licennce: | http://krishi.icar.gov.in/PDF/ICAR_Data_Use_Licence.pdf |
Author's Affiliated institute: | ICAR::Indian Agricultural Statistics Research Institute |
Published/ Complete Date: | 2017-03-27 |
Project Code: | Not Available |
Keywords: | Richards nonlinear growth model Stochastic differential equation Interval estimation Out-of-sample forecasting |
Publisher: | Not Available |
Citation: | Not Available |
Series/Report no.: | Not Available; |
Abstract/Description: | Richards four-parameter nonlinear growth model, which is a generalization of the well-known logistic and Gompertz models, is a very versatile model for describing many growth processes. However, one limitation of the corresponding Richards nonlinear statistical model is that it is applicable only when the data are available at equidistant epochs, which is not always possible. The other limitation is that it is not able to describe the underlying fluctuations of the system satisfactorily particularly for longitudinal data, as merely an error term is added to the deterministic model to obtain it. Accordingly, in this article, the general approach of ‘Stochastic differential equations’ is considered. Specifically, the methodology for Richards growth model in random environment is developed. The optimal predictor of untransformed data along with prediction error variance is also derived. Relevant computer programs for its application are written and the same are included as an Appendix. Finally, as an illustration, pig growth data are considered and superiority of our proposed model is shown over the Richards nonlinear statistical model for given data. |
Description: | Not Available |
ISSN: | Not Available |
Type(s) of content: | Research Paper |
Sponsors: | Not Available |
Language: | English |
Name of Journal: | Journal of Indian Society of Agricultural Statistics |
NAAS Rating: | 5.51 |
Volume No.: | 71(2) |
Page Number: | 127-137 |
Name of the Division/Regional Station: | Statistical Genetics |
Source, DOI or any other URL: | Not Available |
URI: | http://krishi.icar.gov.in/jspui/handle/123456789/42741 |
Appears in Collections: | AEdu-IASRI-Publication |
Files in This Item:
File | Description | Size | Format | |
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ISAS_RichardsSDE.pdf | 625.97 kB | Adobe PDF | View/Open |
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