01 مرداد 1403
قباد سعادت كيا

قباد سعادت کیا

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / آمار
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Stochastic Comparisons of Largest-Order Statistics and Ranges from Marshall–Olkin Bivariate Exponential and Independent Exponential Variables
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
usual stochastic order; mean residual life order; reversed hazard rate order; parallel systems; sample ranges; majorization orders
پژوهشگران نارایاناسوامی بالاکریشنان (نفر اول)، قباد سعادت کیا (نفر دوم)، محمد مهرپویا (نفر سوم)

چکیده

Sample range and the associated functions such as survival function and mean residual life function have found many important applications in the reliability field. In this work, we establish some results that are in two different directions. In the first part, we establish some conditions for comparing the largest-order statistics (in the sense of mean residual life order) arising from bivariate Marshall–Olkin exponential distribution. Then, in the second part, we present some sufficient conditions for comparing sample ranges (in the sense of usual stochastic order and reversed hazard rate order) arising from independent exponential random variables.