In this paper, statistical evidences in lifetimes of sequential r-out-of-n systems, which are modelled by the concept of sequential order statistics (SOS), coming from homogeneous exponential populations are considered. Weak and misleading evidences in SOS for hypotheses about the population parameter are derived in explicit expressions and their behaviours with respect to the model parameters are studied in details. Optimal sample sizes given a minimum desired level for the decisive and the correct probabilities are provided. It is shown that the optimal sample size does not depend on some model parameters.
Hashempour, M., & Doostparast, M. (2020). Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination. Journal of Statistical Modelling: Theory and Applications, 1(1), 91-100. doi: 10.22034/jsmta.2020.1710
MLA
Majid Hashempour; Mahdi Doostparast. "Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination", Journal of Statistical Modelling: Theory and Applications, 1, 1, 2020, 91-100. doi: 10.22034/jsmta.2020.1710
HARVARD
Hashempour, M., Doostparast, M. (2020). 'Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination', Journal of Statistical Modelling: Theory and Applications, 1(1), pp. 91-100. doi: 10.22034/jsmta.2020.1710
VANCOUVER
Hashempour, M., Doostparast, M. Mathematics of evidences in dynamic systems with exponential component lifetimes and optimal sample size determination. Journal of Statistical Modelling: Theory and Applications, 2020; 1(1): 91-100. doi: 10.22034/jsmta.2020.1710
)