A Classical Approach to Modeling of Coal Mine Data

  • Mehmet YılmazEmail author
  • Nihan Potas
  • Buse Buyum
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)


Data sets such as the occurrence time of random events or the lifetime of a certain product (or a system) are modelled by compound or mixture distributions especially in the last years. This situation is led to encounter proposal of more complex distribution models in the literature. One of the data set made a model proposal by in this way is coal mine data set. In this study, Two Component Mixed Exponential Distribution (2MED) model had more easier interpretation on this data set is used and compared with the other study results. Also, the extended coal mine data set with 191 observations is modelled by 2MED and the results are given.


  1. 1.
    Adamidis K, Loukas S (1998) A lifetime distribution with decreasing failure rate. Stat Probab Lett 39:35–42MathSciNetCrossRefGoogle Scholar
  2. 2.
    Cox DR, Lewis PAW (1966) The statistical analysis of series of events. Chapman and Hall, London/MethuenCrossRefGoogle Scholar
  3. 3.
    Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm (with discussion). J R Stat Soc Ser B 39:1–38MathSciNetGoogle Scholar
  4. 4.
    Everitt ES, Hand DJ (1981) Finite mixture distributions. Chapman and Hall, LondonCrossRefGoogle Scholar
  5. 5.
    Gupta RD, Kundu D (2000) Generalized exponential distribution: different method of estimations. J Stat Comput Simul 00:1–22Google Scholar
  6. 6.
    Jarrett RG (1979) A note on the intervals between coal mining disasters. Biometrika 66:191–193CrossRefGoogle Scholar
  7. 7.
    Kus C (2007) A new lifetime distribution. Comput Stat Data Anal 51:4497–4509MathSciNetCrossRefGoogle Scholar
  8. 8.
    Maguire BA, Pearson ES, Wynn AHA (1952) The time intervals between industrial accidents. Biometrika 39:168–180CrossRefGoogle Scholar
  9. 9.
    McLachlan GJ, Krishnan T (2008) The EM algorithm and extensions. Wiley, HobokenCrossRefGoogle Scholar
  10. 10.
    Mirhossaini SM, Dolati A (2008) On a new generalization of the exponential distribution. J Math Ext 3(1):27–42MathSciNetGoogle Scholar
  11. 11.
    Rodriguesa J, Balakrishnan N, Cordeiro GM (2011) A unified view on lifetime distributions. Comput Stat Data Anal 55(12):3311–3319CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Science, Department of StatisticsAnkara UniversityAnkaraTurkey
  2. 2.Faculty of Economics and Administrative Sciences, Department of Health Care ManagementGazi UniversityAnkaraTurkey
  3. 3.Department of Statistics, Graduate School of Natural and Applied ScienceAnkara UniversityAnkaraTurkey

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