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A practical method to calculate probabilities: illustrative example from the electronic industry business

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  • Douglas Moura Miranda
  • Samuel Vieira Conceição

Abstract

The real-life environment is made of probabilistic data by nature and the ability to make decisions based on probabilities is crucial in the business world. It is common to have a set of data and the need of calculating the probability of taking a value greater or less than a specific value. It is also common in many companies the unavailability of a statistical software or a specialized professional in statistics. The purpose of this paper is to present a practical and simple method to calculate probabilities from normal or non-normal distributed data set and illustrate it with an application from the electronic industry. The method does not demand statistical knowledge from the user; there is no need of normality assumptions, goodness test or transformations. The proposed method is easy to implement, robust and the experiments have evidenced its quality. The technique is validated with a large variety of instances and compared with the well-known Johnson system of distributions.

Suggested Citation

  • Douglas Moura Miranda & Samuel Vieira Conceição, 2017. "A practical method to calculate probabilities: illustrative example from the electronic industry business," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(5), pages 882-896, April.
    • Handle: RePEc:taf:japsta:v:44:y:2017:i:5:p:882-896
    DOI: 10.1080/02664763.2016.1189517
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    References listed on IDEAS

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    1. Alexopoulos, Christos & Goldsman, David & Fontanesi, John & Kopald, David & Wilson, James R., 2008. "Modeling patient arrivals in community clinics," Omega, Elsevier, vol. 36(1), pages 33-43, February.
    2. Abbasi, B. & Hosseinifard, S.Z. & Coit, D.W., 2010. "A neural network applied to estimate Burr XII distribution parameters," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 647-654.
    3. I. D. Hill & R. Hill & R. L. Holder, 1976. "Fitting Johnson Curves by Moments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 25(2), pages 180-189, June.
    4. Paranaíba, Patrícia F. & Ortega, Edwin M.M. & Cordeiro, Gauss M. & Pescim, Rodrigo R., 2011. "The beta Burr XII distribution with application to lifetime data," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1118-1136, February.
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