Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Richard L. Dykstra"'
Autor:
Chris Carolan, Richard L. Dykstra
Publikováno v:
Annals of the Institute of Statistical Mathematics. 55:487-497
The characterization of the least concave majorant of brownian motion by Pitman (1983,Seminar on Stochastic Processes, 1982 (eds. E. Cinlar, K. L. Chung and R. K. Getoor), 219–228, Birkhauser, Boston) is tweaked, conditional on a vertex point. The
Publikováno v:
Journal of Statistical Planning and Inference. 107:249-265
We discuss likelihood-based order restricted inference for hypotheses concerning the qualitative dispersion associated with a probability vector; levels of dispersion are compared using the concept of Schur majorization. In particular, we show how to
Autor:
Hsun-Chih Kuo, Richard L. Dykstra
Publikováno v:
Encyclopedia of Environmetrics
A wide variety of statistical techniques have proven useful in biological and environmental studies. Frequently, these techniques can be improved upon and/or made more powerful if the prior knowledge that certain parameters satisfy an order restricti
Autor:
Yeh-Fong Chen, Richard L. Dykstra
Publikováno v:
Statistics & Probability Letters. 53:339-346
The level sets obtained from an equal weights isotonic regression are often of interest. Here we derive the joint distribution of the sizes of the level sets ordered from largest to smallest and show they have the same distribution as three other pro
Autor:
Chris Carolan, Richard L. Dykstra
Publikováno v:
Canadian Journal of Statistics. 27:557-566
Over forty years ago, Grenander derived the MLE of a monotone decreasing density f with known mode. Prakasa Rao obtained the asymptotic distribution of this estimator at a fixed point x where f' (x) < 0. Here, we obtain the asymptotic distribution of
Publikováno v:
Biometrika. 86:429-438
In many situations it is desirable that prediction/discriminant rules should satisfy ordering properties with respect to the explanatory variables. Here, optimal rules under both L 1 and L 2 type loss functions are characterised under the restriction
Autor:
Richard L. Dykstra, Hammou El Barmi
Publikováno v:
Journal of Nonparametric Statistics. 11:233-250
The first part of this article investigates the joint behaviour of the maximum likelihood estimators and lagrange multipliers corresponding to a null and alternative hypotheses defined by equality constraints. The results are then used to test agains
Publikováno v:
Canadian Journal of Statistics. 26:57-68
We consider the competing-risks problem without making any assumption concerning the independence of the risks. Maximum-likelihood estimates of the cause-specific hazard rates are obtained under the condition that their ratio is monotone. We also con
Publikováno v:
Journal of Statistical Planning and Inference. 65:203-211
Let X1, …, Xn be independent exponential random variables with Xi having hazard rate λi, i = 1, …, n. Let λ = (λ1, …, λn). Let Y1, …, Yn be a random sample of size n from an exponential distribution with common hazard rate λ = Σ n i = 1
Publikováno v:
Annals of the Institute of Statistical Mathematics. 49:435-446
In this paper we interpret Dykstra's iterative procedure for finding anI-projection onto the intersection of closed, convex sets in terms of itsFenchel dual. Seen in terms of its dual formulation, Dykstra's algorithm isintuitive and can be shown to c