کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778741 | 1633878 | 2017 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Statistical properties of an estimator for the mean function of a compound cyclic Poisson process in the presence of linear trend
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
The problem of estimating the mean function of a compound cyclic Poisson process with linear trend is considered. An estimator of this mean function is constructed and investigated. The cyclic component of intensity function of this process is not assumed to have any parametric form, but its period is assumed to be known. The slope of the linear trend is assumed to be positive, but its value is unknown. Moreover, we consider the case when there is only a single realization of the Poisson process is observed in a bounded interval. Asymptotic bias and variance of the proposed estimator are computed, when the size of interval indefinitely expands.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Arab Journal of Mathematical Sciences - Volume 23, Issue 2, July 2017, Pages 173-185
Journal: Arab Journal of Mathematical Sciences - Volume 23, Issue 2, July 2017, Pages 173-185
نویسندگان
Bonno Andri Wibowo, I Wayan Mangku, Siswadi Siswadi,