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J. Aitchison, “On the Distribution of a Positive Random Variable Having a Discrete Probability Mass at the Origin,” Journal of American Statistical Association, Vol. 50, No. 271, 1995, pp. 901-908.

has been cited by the following article:

• TITLE: The Permutation Test as an Ancillary Procedure for Comparing Zero-Inflated Continuous Distributions

  AUTHORS: Jixiang Jixiang, Lei Zhang, William D Johnson

  KEYWORDS: Central Limit Theorem; Likelihood Ratio Test; Modified Central Limit Theorem; Permutation Test; Wald Test; Zero-Inflated Distribution

  JOURNAL NAME: Open Journal of Statistics, Vol.2 No.3, June 28, 2012

  ABSTRACT: Empirical estimates of power and Type I error can be misleading if a statistical test does not perform at the stated rejection level under the null hypothesis. We employed the permutation test to control the empirical type I errors for zero-inflated exponential distributions. The simulation results indicated that the permutation test can be used effectively to control the type I errors near the nominal level even the sample sizes are small based on four statistical tests. Our results attest to the permutation test being a valuable adjunct to the current statistical methods for comparing distributions with underlying zero-inflated data structures.