Judul Artikel |
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Estimating the Mean and Variance Functions of a Compound Poisson Process Having Power Function Intensity |
Penulis |
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I Wayan Mangku, Faza Sakinah and Ruhiyat (2016) |
Judul Publikasi |
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Far East Journal of Mathematical Sciences (FJMS) Vol.100 No.9 hal. 1455-1465 |
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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The problem of estimating the mean and variance functions of a compound Poisson process having power function intensity is considered. Estimators of these mean and variance functions are constructed and investigated. We consider the case when there is only a single realization of the Poisson process having power function intensity observed in a bounded interval. The proposed estimators are proved to be weakly and strongly consistent, when the size of the interval indefinitely expands. The expected values and variances of these estimators are also computed. |
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