A Pooled Two-Sample Median Test Based on Density Estimation

A Pooled Two-Sample Median Test Based on Density Estimation

Two-Sample Median Test for Vague Data

Classical statistical tests may be sensitive to violations of the fundamental model assumptions inherent in the derivation and construction of these tests. It is obvious that such violations are much more probable in the presence of vague data. Thus nonparametric tests seem to be promising statistical tools. A generalization of the median test for the two-sample problem with vague data is sugge...

Median Estimation in Sample Surveys

In a recent paper Maritz and Jarrett (1978) proposed a small-sample estimate of the variance of sample medians from continuous population. In this paper their methods are adapted to median estimation in s~atified sampling without replacement from finite populations. A weighted sample median for estimating the median of heavy-tailed or skewed populations is proposed. Its asymptotic normal distri...

f-Divergence Estimation and Two-Sample Homogeneity Test Under Semiparametric Density-Ratio Models

A density ratio is defined by the ratio of two probability densities. We study the inference problem of density ratios and apply a semi-parametric density-ratio estimator to the two-sample homogeneity test. In the proposed test procedure, the f -divergence between two probability densities is estimated using a density-ratio estimator. The f -divergence estimator is then exploited for the two-sa...

Test for Exponentiality Based on the Sample Covariance

This paper proposes a simple goodness-of-fit test based on the sample covariance. It is shown that this test is preferable for alternatives of increasing and unimodal failure rate. Critical values for various sample sizes are determined by means of Monte Carlo simulations. We compare the test based on the sample covariance with tests based on Hoeffding's maximum correlation. The usefulness o...