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
MRL ordering of largest order statistics from heterogeneous scale variables
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Mean residual life order; scale model; reciprocal majorization order; harmonic mean; generalized gamma distribution; generalized beta distribution of the second kind; power-generalized Weibull distribution; half-normal distribution
پژوهشگران عابدین حیدری (نفر اول)، مصطی ستاری (نفر دوم)، قباد سعادت کیا (نفر سوم)، نارایاناسوامی بالاکریشنان (نفر چهارم)

چکیده

For comparing largest order statistics from independent heterogeneous non-negative scale variables in the mean residual life order, a new framework is introduced here. This framework can be viewed as a generalization of the well-known multiple-outlier scale model, and it additionally includes the situation in which all the random variables are heterogeneous. We also find some sufficient conditions for comparing the largest order statistics, one with complete heterogeneous scale parameters and another with homogeneous scale parameters, in the mean residual life order. As examples of the obtained results, generalized gamma, generalized beta of the second kind, powergeneralized Weibull, and half-normal distributions are all presented. The findings of this work generalize and also reinforce some of the existing results in this direction.