The inclusion-exclusion principle is a well-known property of set cardinality and probability measures, that is instrumental to solve some problems such as the evaluation of systems reliability or of uncertainty over Boolean formulas. However, when using sets and probabilities conjointly, this principle no longer holds in general. It is therefore useful to know in which cases it is still valid....

Most probabilistic methods of the system reliability analysis assume that the component lifetime distributions are known precisely and the system components are independent. The paper considers reliability analysis of typical systems when the above assumptions are violated and there is only some partial information about the component lifetime distributions. The analysis is based on considering...

background: with regard to large number of mobile users especially among college students in iran, addiction to mobile phone is attracting increasing concern. there is an urgent need for reliable and valid instrument to measure this phenomenon. this study examines validity and reliability of the persian version of mobile phone addiction scale (mpais) in college students. materials and methods: ...