Judul Artikel |
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Estimating the intensity in the form of a power function of an inhomogeneous Poisson process |
Penulis |
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I Wayan Mangku, Indri Widiyastuti, I Gusti Putu Purnaba (2005) |
Judul Publikasi |
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Journal of Mathematics and Its Applications Vol.4 No.1 hal. 51-57 |
Nama Penerbit |
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Departemen of Matematics IPB |
Kota |
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Bogor |
Jenis |
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Jurnal Nasional |
Bahasa |
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English |
Abstrak |
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An estimator of the intensity in the form of a power function of an inhomogeneous Poisson process is constructed and investigated. It is assumed that only a single realization of the Poisson process is observed in a bounded window. We prove that the proposed estimator is consistent when the size of the window indefinitely expands. The asymptotic bias, variance and the mean-squared error of the proposed estimator are computed. Asymptotic normality of the estimator is also established. |
Full Text |
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journal_32.pdf |