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pro vyhledávání: '"H. D. Brunk"'
Autor:
H. D. Brunk
Publikováno v:
Ann. Statist. 19, no. 2 (1991), 830-849
In a general setting in which prior distributions that may take on the value $\infty$ are admitted, an inference based on a posterior for a prior, $\mu$, that is "minimally compatible" with the inference is shown to have a strong property of expectat
Autor:
H. D. Brunk, John Shin
Publikováno v:
Communications in Statistics - Theory and Methods. 13:2253-2291
Linear, least squares statistical methods in which the "parameters" are interpreted as random variables were introduced by Whittle, and further developed by Hartigan and others. They are applied here to the problem of estimating the coefficients in a
Autor:
H. D. Brunk
Publikováno v:
Communications in Statistics - Theory and Methods. 9:1101-1136
The regression function R(•) to be estimated is assumed to have an expansion in terms of specified functions, orthogonalized vich respect to values of the explanatory variable. Relative precisions of OBSERVATION are assumed known. The estimate is t
Autor:
Donald A. Pierce, H. D. Brunk
Publikováno v:
Communications in Statistics - Theory and Methods. 6:1-14
For a very wide class of distributions in the multiparameter exponential family it is shown that the posterior distribution of the population mean μ is such that has asymptotically the standard normal distribution. It is suggested that this supports
Autor:
H. D. Brunk
Publikováno v:
Biometrika. 65:521-528
Orthogonal series estimators of univariate densities are proposed that are derived from and motivated by kernel estimators optimal in Whittle's (1958) sense. A preliminary fit of the data from within a one or two parameter class of densities plays th
Autor:
H. D. Brunk
Publikováno v:
Psychometrika. 46:115-128
Bayesian least squares techniques are adapted to estimation of stimulus-response curves, rather broadly conceived. Illustrative examples deal with estimation of person characteristic curves and item characteristic curves in the context of mental test
Autor:
R. Rossi, H. D. Brunk
Publikováno v:
Computational Statistics & Data Analysis. 6:203-227
L1 and L2 cross-validation criteria are studied for a wide class of kernel estimators, estimators that have expansions as linear combinations of prescribed functions. In particular, the L1 and L2 cross-validation objective functions to be minimized a
Autor:
H. D. Brunk
Publikováno v:
Proceedings of the American Mathematical Society. 7:817-824
Autor:
H. D. Brunk
Publikováno v:
Ann. Math. Statist. 26, no. 4 (1955), 607-616
The maximum likelihood estimators of distribution parameters subject to certain order relations are determined for simultaneous sampling from a number of populations, when $(i)$ the order relations may be specified by regarding the distribution param
Autor:
H. D. Brunk
Publikováno v:
Quarterly of Applied Mathematics. 11:285-294