13 citations · 29 across the 4 of their papers we have counts for
4 papers
The Volume-of-Tubes Formula: Computational Methods and Statistical Applications
Catherine Loader
The volume-of-tube formula was first introduced by Hotelling (1939), to solve significance of terms in nonlinear regression models. Since this pioneering paper, there has been sign…
Inference in Perturbation Models, Finite Mixtures and Scan Statistics: The Volume-of-Tube Formula
Ramani S. Pilla, Catherine Loader
This research creates a general class of "perturbation models" which are described by an underlying "null" model that accounts for most of the structure in data and a perturbation…
A New Technique for Finding Needles in Haystacks: A Geometric Approach to Distinguishing Between a New Source and Random Fluctuations
Ramani S. Pilla, Catherine Loader, Cyrus Taylor
We propose a new test statistic based on a score process for determining the statistical significance of a putative signal that may be a small perturbation to a noisy experimental…
On large-sample estimation and testing via quadratic inference functions for correlated data
Ramani S. Pilla, Catherine Loader
Hansen (1982) proposed a class of "generalized method of moments" (GMMs) for estimating a vector of regression parameters from a set of score functions. Hansen established that, un…