قانون الأعداد الكبيرة للدوال العشوائية بمتحولين
Abstract
نقوم في هذا البحث بإيجاد قانون الأعداد الكبيرة للدوال العشوائية المحدبة – المقعرة المغلقة و نعمِّم بعض النتائج المتعلقة بالدوال نصف المستمرة من الأدنى ذات المتحول الواحد إلى نتائج مشابهة تخص دوال محدبة – مقعرة بمتحولين وذلك باستخدام الدوال القرينة المحدبة لدالة محدبة – مقعرة وتقارب موسكو فوق /تحت البياني .
In this research we will find a law of the large numbers for random convex – concave closed functions , and generalize some results related to lower semi- continuous functions to similar results concerning the convex– concave functions , and that will be done with using the parent convex functions and the Mosco-epi \ hypo-convergence .
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