Strong Consistency of Multiple Isotonic Median Estimation

Isotonic Median Regression via Scaling

This paper gives algorithms for determining isotonic median regressions (i.e., isotonic regression using the L1 metric) satisfying order constraints given by various ordered sets. For a rooted tree the regression can be found in Θ(n log n) time, while for a star it can be found in Θ(n) time, where n is the number of vertices. For bivariate data, when the set is a grid the regression can be foun...

Strong consistency of the contraction mapping method for frequency estimation

Isotonic estimation for grouped data

A non-parametric estimator of a non-increasing density is found in a class of piecewise linear functions when the data consist only of counts. An EM-Algorithm for computing the estimator is developed, and the iterates in the algorithm are shown to converge to the maximum likelihood estimator. Potential applications to distance sampling models are described and illustrated with a numerical examp...

Inference for Multiple Isotonic Regression

The isotonic regression for two or more independent variables is a classic problem in data analysis. The classical solution involves enumeration of upper sets, which is computationally prohibitive unless the sample size is small. Here it is shown that the solution may be obtained through a single projection onto a convex polyhedral cone. The cone formulation allows an exact test of the null hyp...

Multiple tail median approach for high reliability estimation

0167-4730/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.strusafe.2009.09.002 * Corresponding author. Tel.: +1 352 870 5972; fax E-mail address: [email protected] (P. Ramu). 1 Formerly Dept of Mechanical and Aerospace Engi Gainesville, FL 32611, USA. Sampling-based reliability estimation with expensive computer models may be computationally prohibitive when the probability of failure is ...