Publication:
On an asymptotic comparison of maximum likelihood and berkson's modified minimum chi-square estimates in the two parameter dose response models

Issued Date

2011-12-01

Resource Type

Article

ISSN

10675817

Other identifier(s)

2-s2.0-84892466693

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Applied Statistical Science. Vol.19, No.4 (2011), 385-405

Suggested Citation

Wuttichai Srisodaphol, Montip Tiensuwan, Bimal K. Sinha On an asymptotic comparison of maximum likelihood and berkson's modified minimum chi-square estimates in the two parameter dose response models. Journal of Applied Statistical Science. Vol.19, No.4 (2011), 385-405. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/12120

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Title

On an asymptotic comparison of maximum likelihood and berkson's modified minimum chi-square estimates in the two parameter dose response models

Author(s)

Wuttichai Srisodaphol
 Montip Tiensuwan
 Bimal K. Sinha

Other Contributor(s)

Mahidol University
 University of Maryland, Baltimore County

Abstract

This paper focuses on three standard dose response models, namely, the multistage Weibull, logistic and log-logistic models, each involving two unknown parameters. The maximum likelihood and Berkson's modified minimum chi-square methods are employed to estimate the two unknown parameters in each model, and the mean squared errors of these estimates are derived asymptotically to the order of approximation of n- 2 , where n is the sample size.The AIC and deviance criteria are used for model selection. One real data set is used for illustration. The results show that, as expected, the mean squared errors of the estimates behave differently for different dose groups and dose levels. © Nova Science Publishers, Inc.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/12120

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Scopus 2011-2015