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2014 | OriginalPaper | Chapter

3. Parameter Estimation in Linear and Quadratic Mixture Models

Authors : B. K. Sinha, N. K. Mandal, Manisha Pal, P. Das

Published in: Optimal Mixture Experiments

Publisher: Springer India

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Abstract

In this chapter, we present standard mixture models and standard mixture designs as generally applied to such models. These mixture models and mixture designs will occur throughout the monograph. Several generalizations of standard mixture designs are also discussed here. Estimability issues involving the model parameters are addressed at length. In the process, information matrices are worked out and their roles are emphasized. The concept of Loewner domination is also brought in.

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Literature
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go back to reference Pal, M., Mandal, N. K., & Aggarwal, M. L. (2011). Optimum designs for parameter estimation in linear mixture model with synergistic effects. Communications in Statistics-Theory and Methods, 40, 2059–2073. Pal, M., Mandal, N. K., & Aggarwal, M. L. (2011). Optimum designs for parameter estimation in linear mixture model with synergistic effects. Communications in Statistics-Theory and Methods, 40, 2059–2073.
go back to reference Pal, M., & Mandal, N. K. (2012). Optimum designs for estimation of parameters in a quadratic mixture-amount model. Communications in Statistics-Theory and Methods, 41, 665–673. Pal, M., & Mandal, N. K. (2012). Optimum designs for estimation of parameters in a quadratic mixture-amount model. Communications in Statistics-Theory and Methods, 41, 665–673.
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go back to reference Sinha, B. K., Das, P., Mandal, N. K., & Pal, M. (2010). Parameter estimation in linear and quadratic mixture models: A review. Pakistan Journal of Statistics, 26, 77–96. Sinha, B. K., Das, P., Mandal, N. K., & Pal, M. (2010). Parameter estimation in linear and quadratic mixture models: A review. Pakistan Journal of Statistics, 26, 77–96.
Metadata
Title
Parameter Estimation in Linear and Quadratic Mixture Models
Authors
B. K. Sinha
N. K. Mandal
Manisha Pal
P. Das
Copyright Year
2014
Publisher
Springer India
DOI
https://doi.org/10.1007/978-81-322-1786-2_3

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