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Goodness of fit tests for weighted histograms

Data Analysis, Statistics and Probability 2008-11-28 v2 Statistics Theory Statistics Theory

Abstract

Weighted histogram in Monte-Carlo simulations is often used for the estimation of a probability density function. It is obtained as a result of random experiment with random events that have weights. In this paper the bin contents of weighted histogram are considered as a sum of random variables with random number of terms. Goodness of fit tests for weighted histograms and for weighted histograms with unknown normalization are proposed. Sizes and powers of the tests are investigated numerically.

Keywords

Cite

@article{arxiv.0712.4250,
  title  = {Goodness of fit tests for weighted histograms},
  author = {N. D. Gagunashvili},
  journal= {arXiv preprint arXiv:0712.4250},
  year   = {2008}
}

Comments

15 pages, 5 figures, changed content

R2 v1 2026-06-21T09:57:50.808Z