Evaluation of evidence for dynamic systems based on Bayes factors with an application

‎‎This paper deals with the computation of Bayes factors (BFs) based on sequential order‎ ‎statistics arising from homogeneous exponential populations‎. ‎Explicit expressions for the BFs are‎ ‎derived from the chi-square and the Poisson distribution functions‎. ‎Some approximations for the‎ ‎derived BFs are also proposed‎. ‎A simulated data set is analyzed using the obtained results‎. ‎Open problems are also mentioned‎. ‎The findings of this paper may be used for assessing evidence  ‎in the available data in various fields such as reliability analyses of engineering systems and‎ ‎life testing experiments‎.

Keywords:

Bayes factor , Exponential model , Hypotheses testing , Likelihood ratio , Sequential order statistics