کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5130199 | 1378665 | 2017 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Time inhomogeneity in longest gap and longest run problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Consider an inhomogeneous Poisson process and let D be the first of its epochs which is followed by a gap of size â>0. We establish a criterion for D<â a.s., as well as for D being long-tailed and short-tailed, and obtain logarithmic tail asymptotics in various cases. These results are translated into the discrete time framework of independent non-stationary Bernoulli trials where the analogue of D is the waiting time for the first run of ones of length â. A main motivation comes from computer reliability, where D+â represents the actual execution time of a program or transfer of a file of size â in presence of failures (epochs of the process) which necessitate restart.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 127, Issue 2, February 2017, Pages 574-589
Journal: Stochastic Processes and their Applications - Volume 127, Issue 2, February 2017, Pages 574-589
نویسندگان
Søren Asmussen, Jevgenijs Ivanovs, Anders Rønn Nielsen,