Differentially Private Nonparametric Hypothesis Testing [PDF]
Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we study differentially private tests of independence between a categorical and a continuous variable.
Simon Couch +4 more
semanticscholar +6 more sources
Two-sample Bayesian Nonparametric Hypothesis Testing [PDF]
In this article we describe Bayesian nonparametric procedures for two-sample hypothesis testing. Namely, given two sets of samples y^{(1)} iid F^{(1)} and y^{(2)} iid F^{(2)}, with F^{(1)}, F^{(2)} unknown, we wish to evaluate the evidence for the null ...
Chris C. Holmes +3 more
semanticscholar +8 more sources
A method for parameter hypothesis testing in nonparametric regression with Fourier series approach [PDF]
Nonparametric regression model with the Fourier series approach was first introduced by Bilodeau in 1994. In the later years, several researchers developed a nonparametric regression model with the Fourier series approach.
Mustain Ramli +2 more
doaj +3 more sources
Modeling Various Survival Distributions using a Nonparametric Hypothesis Testing Based on Laplace Transform Approach with Some Real Applications. [PDF]
We hope to assess the different processing methodologies or the effectiveness of the devices or systems applied in this nonparametric statistical test by observing the failure behavior of the recorded survival data.
Gadallah AM +6 more
europepmc +4 more sources
Adaptive, Rate-Optimal Hypothesis Testing in Nonparametric IV Models [PDF]
We propose a new adaptive hypothesis test for inequality (e.g., monotonicity, convexity) and equality (e.g., parametric, semiparametric) restrictions on a structural function in a nonparametric instrumental variables (NPIV) model.
Christoph Breunig, Xiaohong Chen
semanticscholar +4 more sources
Nonparametric performance hypothesis testing with the information ratio [PDF]
This study proposes a nonparametric bootstrap-based test to compare performances between two portfolios in terms of their information ratio. This serves as an extension to the literature that tests performance between two portfolio investment strategies ...
Jacque Bon-Isaac Aboy, Joselito Magadia
doaj +4 more sources
Nonparametric Hypothesis Testing Report
This report is the brief survey of nonparametric hypothesis testing. It includes four main sections about hypothesis testing, one additional section discussing goodness-of-fit and conclusion section.Sign test section gives an overview of nonparametric testing, which begins with the test on sample median without assumption of normal distribution.Signed ...
Loc Nguyen
semanticscholar +6 more sources
Statistical inference on nonparametric regression model with approximation of Fourier series function: Estimation and hypothesis testing [PDF]
Nonparametric regression is an approximation method in regression analysis that is not constrained by the assumption of knowing the regression curve. One of the functions to approximate the curve is a Fourier series function. The nonparametric regression
Mustain Ramli +2 more
doaj +3 more sources
Nonparametric Composite Hypothesis Testing in an Asymptotic Regime [PDF]
We investigate the nonparametric, composite hypothesis testing problem for arbitrary unknown distributions in the asymptotic regime where both the sample size and the number of hypothesis grow exponentially large. Such asymptotic analysis is important in
Qunwei Li +5 more
semanticscholar +5 more sources
Nonparametric Bayes classification and hypothesis testing on manifolds
Our first focus is prediction of a categorical response variable using features that lie on a general manifold. For example, the manifold may correspond to the surface of a hypersphere. We propose a general kernel mixture model for the joint distribution of the response and predictors, with the kernel expressed in product form and dependence induced ...
Abhishek Bhattacharya, David B. Dunson
semanticscholar +5 more sources

