Finding interval estimates involving nuisance parameters

  • Authors

    • Nadezhda Chiganova
    2018-04-20
    https://doi.org/10.14419/ijet.v7i2.23.11935
  • Distribution Function, Interval Estimation, Random Variables, Reliability Indices.

  • The work establishes the assertions which, in a number of cases, allow to effectively determine the possibility of applying the method suggested in the work of L.N. Bolshev and E.A. Loginov “Interval estimates in the presence of interfering parameters. Probability theory and its application†for constructing interval estimates of unknown parameters.

     

     

  • References

    1. [1] Bolshev LN & Loginov EA (1966), Interval estimates in the presence of interfering parameters, Probability theory and its application XI, 94-107.

      [2] Shiryaev AN, Ehrlich IG & Oskov PA (2013), Probability in theorems and problems (with proofs and solutions), MCCME, 648.

      [3] Chiganova NM (2015), Logarithmic convexity with respect to the parameter of some distributions, Journal of Natural and Technical Sciences 6, 49-52.

      [4] Bolshev LN & Smirnov EV (2012), Tables of Mathematical Statistics, Nauka, 416.

      [5] Gnedenko BV, Belyaev YuK, Soloviev AD & Kashtanov VA (2013), Mathematical Methods in Reliability Theory, Book House "LIBROKOM", 550.

      [6] Ushakov IA (2007), Reliability: Theory & Applications, Journal of International Group on Reliability 1 (1), 6–19

      [7] Chiganova NM (2016), Reliability theory application for building structures reliability determination, MATEC Web of Conferences 86, 02009, https://doi.org/10.1051/matecconf/20168602009

      [8] Gnedenko BV (1983), Aspects of Mathematical Theory of Reliability (Russian), Radio I Svyaz, 376.

      [9] Medvedev VV & Chiganova NM (2015), Evaluation of the reliability of products based on the results of software tests, Scientific Review (Russia) 14, 232-236.

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  • How to Cite

    Chiganova, N. (2018). Finding interval estimates involving nuisance parameters. International Journal of Engineering & Technology, 7(2.23), 292-294. https://doi.org/10.14419/ijet.v7i2.23.11935