کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1144696 957428 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Current records and record range with some applications
ترجمه فارسی عنوان
سوابق فعلی و دامنه رکورد با برخی از برنامه های کاربردی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
چکیده انگلیسی

In a sequence of independent and identically distributed (iid) random variables, the upper (lower) current records and record range are studied. We derive general recurrence relations between the single and product moments for the upper and lower current records based on Weibull and positive Weibull distributions, as well as Pareto and negative Pareto distributions, respectively. Moreover, some asymptotic results for general current records are established. In addition, a recurrence relation and an explicit formula for the moments of record range based on the exponential distribution are given. Finally, numerical examples are presented to illustrate and corroborate theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Korean Statistical Society - Volume 43, Issue 2, June 2014, Pages 263–273
نویسندگان
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