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The sample monomode and an associated test for discrete monomodality

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Abstract
The notions of (sample) mean, median and mode are common tools for describing the central tendency of a given probability distribution. In this article, we propose a new measure of central tendency, the sample monomode, which is related to the notion of sample mode. We also illustrate the computation of the sample monomode and propose a statistical test for discrete monomodality based on the likelihood ratio statistic.
Keywords
Discrete unimodality, discrete monomodality, likelihood ratio, multinomial distribution, monomode, LINEAR INEQUALITY CONSTRAINTS, SET

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Citation

Please use this url to cite or link to this publication:

MLA
Perez Fernandez, Raul, and Bernard De Baets. “The Sample Monomode and an Associated Test for Discrete Monomodality.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol. 48, no. 21, 2019, pp. 5419–26.
APA
Perez Fernandez, R., & De Baets, B. (2019). The sample monomode and an associated test for discrete monomodality. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 48(21), 5419–5426.
Chicago author-date
Perez Fernandez, Raul, and Bernard De Baets. 2019. “The Sample Monomode and an Associated Test for Discrete Monomodality.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 48 (21): 5419–26.
Chicago author-date (all authors)
Perez Fernandez, Raul, and Bernard De Baets. 2019. “The Sample Monomode and an Associated Test for Discrete Monomodality.” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 48 (21): 5419–5426.
Vancouver
1.
Perez Fernandez R, De Baets B. The sample monomode and an associated test for discrete monomodality. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 2019;48(21):5419–26.
IEEE
[1]
R. Perez Fernandez and B. De Baets, “The sample monomode and an associated test for discrete monomodality,” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol. 48, no. 21, pp. 5419–5426, 2019.
@article{8630758,
  abstract     = {The notions of (sample) mean, median and mode are common tools for describing the central tendency of a given probability distribution. In this article, we propose a new measure of central tendency, the sample monomode, which is related to the notion of sample mode. We also illustrate the computation of the sample monomode and propose a statistical test for discrete monomodality based on the likelihood ratio statistic.},
  author       = {Perez Fernandez, Raul and De Baets, Bernard},
  issn         = {0361-0926},
  journal      = {COMMUNICATIONS IN STATISTICS-THEORY AND METHODS},
  keywords     = {Discrete unimodality,discrete monomodality,likelihood ratio,multinomial distribution,monomode,LINEAR INEQUALITY CONSTRAINTS,SET},
  language     = {eng},
  number       = {21},
  pages        = {5419--5426},
  title        = {The sample monomode and an associated test for discrete monomodality},
  url          = {http://dx.doi.org/10.1080/03610926.2018.1513148},
  volume       = {48},
  year         = {2019},
}

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