Evaluation of an individual's scientific productivity using author rank

There are many measuring tool to evaluate individual's or institutional scientific productivity using scientific articles based on bibliometrics. Especially succeeding discussions are accomplished at an trial for individual's scientific productivity after Hirsch's 2005 proposal using h-index. And there are many succeeding discussions and applications to evaluate journals, articles and qualitative level of researchers using h-index, g-index, y-index. But these indices have a same indices without regard to first author-or other co-author if a article has a same number of citations. This research aims to propose K-index integrated between these indices and author rank.