Judul Artikel |
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Estimating the Mean Function of a Compound Cyclic Poisson Process in the Presence of Power Function Trend |
Penulis |
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Intan Fitria Sari, I. Wayan Mangku and Hadi Sumarno (2016) |
Judul Publikasi |
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Far East Journal of Mathematical Sciences (FJMS) Vol.100 No.11 hal. 1825-1840 |
Nama Penerbit |
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Pushpa Publishing House |
Kota |
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Allahabad 211 002, INDIA |
Jenis |
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jurnal internasional |
Bahasa |
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Inggris |
Abstrak |
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An estimator of the mean function of a compound cyclic Poisson process with power function trend is constructed and investigated. We do not assume any parametric form for the cyclic component of the intensity function except that it is periodic. Moreover, we consider the case when only a single realization of the Poisson process is observed in a bounded interval The proposed estimator is proved to be consistent when the size of the interval indefinitely expands. In addition, asymptotic approximations to the bias and variance of the proposed estimator are computed. |
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