Centered Isotonic Regression: Point and Interval Estimation for Dose–Response Studies

Improved point and interval estimation for a beta regression model

In this paper we consider the beta regression model recently proposed by Ferrari and Cribari-Neto [2004. Beta regression for modeling rates and proportions. J. Appl. Statist. 31, 799–815], which is tailored to situations where the response is restricted to the standard unit interval and the regression structure involves regressors and unknown parameters. We derive the second order biases of the...

Point and Interval Estimation for the Burr Type III Distribution

In this paper, we study the estimation problems for the Burr type III distribution based on a complete sample. The maximum likelihood method is used to derive the point estimators of the parameter. An exact confidence interval and an exact joint confidence region for the parameters are constructed. Two numerical examples with real data set and simulated data, are presented to illustrate the met...

Multidimensional isotonic regression and estimation of the threshold value

Algorithms for L∞ Isotonic Regression

This paper gives algorithms for determining L∞ weighted isotonic regressions satisfying order constraints given by a DAG with n vertices and m edges. Throughout, topological sorting plays an important role. A modification to an algorithm of Kaufman and Tamir gives an algorithm taking Θ(m log n) time for the general case, improving upon theirs when the graph is sparse. When the regression values...

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...