@article{f174f42e90f047c4a66c37e0bf50ba8c,

title = "Noninformative Bayesian estimation for the optimum in a single factor quadratic response model",

abstract = "The estimation of the location and magnitude of the optimum has long been considered as an important problem in the realm of response surface methodology. In this paper, we consider the Bayes estimates in a single factor quadratic response function, after a reparametrization from the linear model, using noninformative priors. The usual constant noninformative prior for the reparametrized model does not yield a proper posterior, thus it is desirable to consider other noninformative priors such as the Jeffreys prior and reference priors. Comparisons will be made based on the resulting posterior means, variances and credible intervals by examples and simulations.",

keywords = "Credible interval, Jeffreys prior, Noninformative prior, Posterior mean, Posterior variance, Reference prior, Response surface",

author = "Fan, {Tsai Hung}",

note = "Funding Information: where 51, 52 and 53 are unknown parameters, and tile random error c is normally distributed with mean 0 and unknown variance cr 2. In tile linear :':Correspondence to: Tsai Hung Fan. Email: thfan(C_l,s tat.ncu.edu.tw This work has been supported by the National Science Council, Grants NSCSS-2118-M008-009, in Taiwan. Received: May 2000; Accepted: January 2001",

year = "2001",

month = dec,

doi = "10.1007/BF02595694",

language = "???core.languages.en_GB???",

volume = "10",

pages = "225--240",

journal = "Test",

issn = "1133-0686",

number = "2",

}