Finding interval estimates involving nuisance parameters
About this article
Keywords:
Distribution Function, Interval Estimation, Random Variables, Reliability Indices.Abstract
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
Bolshev LN & Loginov EA (1966), Interval estimates in the pres-ence of interfering parameters, Probability theory and its application XI, 94-107.
Shiryaev AN, Ehrlich IG & Oskov PA (2013), Probability in theo-rems and problems (with proofs and solutions), MCCME, 648.
Chiganova NM (2015), Logarithmic convexity with respect to the parameter of some distributions, Journal of Natural and Technical Sciences 6, 49-52.
Bolshev LN & Smirnov EV (2012), Tables of Mathematical Statis-tics, Nauka, 416.
Gnedenko BV, Belyaev YuK, Soloviev AD & Kashtanov VA (2013), Mathematical Methods in Reliability Theory, Book House "LIBROKOM", 550.
View more references (4)
Ushakov IA (2007), Reliability: Theory & Applications, Journal of International Group on Reliability 1 (1), 6–19
Chiganova NM (2016), Reliability theory application for building structures reliability determination, MATEC Web of Conferences 86, 02009, https://doi.org/10.1051/matecconf/20168602009
Gnedenko BV (1983), Aspects of Mathematical Theory of Reliability (Russian), Radio I Svyaz, 376.
Medvedev VV & Chiganova NM (2015), Evaluation of the reliabil-ity of products based on the results of software tests, Scientific Re-view (Russia) 14, 232-236.