Judul: Interval Kepercayaan untuk Fungsi Nilai Harapan dan Fungsi Ragam Proses Poisson Periodik Majemuk
Abstrak: Proses stokastik dapat digunakan untuk memprediksi atau menjelaskan kejadian-kejadian dalam kehidupan sehari-hari di masa mendatang. Salah satu bentuk dari proses stokastik adalah proses Poisson majemuk. Beberapa aplikasi proses Poisson majemuk di antaranya pada bidang fisika, demografi, seismologi, keuangan, asuransi, dan biologi. Pengembangan model proses Poisson majemuk dapat dilakukan dengan memperumum proses Poisson yang digunakan yaitu menggunakan proses Poisson periodik, sehingga modelnya menjadi proses Poisson periodik majemuk. Tujuan dari penelitian ini adalah: (i) merumuskan interval kepercayaan untuk fungsi nilai harapan dan fungsi ragam proses Poisson periodik majemuk, (ii) membuktikan kekonvergenan ke (1-α) peluang parameter tercakup pada interval kepercayaan, dengan α suatu taraf nyata, (iii) menentukan nilai n terkecil sehingga peluang parameter tercakup pada interval kepercayaan sudah mendekati 1-α, dengan simulasi komputer. ...dst, The stochastics process can be used to predict or explain events in everyday life in the future. One form of a stochastic process is the compound Poisson process. Some applications of the compound Poisson process are in physics, demography, seismology, finance, insurance, and biology. The development of a compound Poisson process model can be done by generalizing the Poisson process used by using the periodic Poisson process, so that the model becomes a compound periodic Poisson process. The objectives of this study are: (i) to formulate confidence intervals for the mean (expected value) and variance functions of compound cyclic Poisson process, (ii) to prove convergence to (1-α) for the probability that the parameters contained in the confidence interval, (iii) to determine the smallest n so that the probability that the parameters contained in the confidence intervals already close to 1-α, using computer simulation. ...dst
Keyword: mean function, variance function, periodic function, confidence interval, compound cyclic Poisson periodic

Judul: Confidence Intervals for the Mean Function of a Compound Cyclic Poisson Process in the Present of Power Function Trend
Abstrak: Proses stokastik dapat digunakan untuk memprediksi atau menjelaskan kejadian-kejadian dalam kehidupan sehari-hari di masa mendatang. Salah satu bentuk dari proses stokastik adalah proses Poisson majemuk. Pengembangan model proses Poisson majemuk dapat dilakukan dengan memperumum proses Poisson yang digunakan yaitu menggunakan proses Poisson periodik, sehingga modelnya menjadi proses Poisson periodik majemuk. Tujuan dari penelitian ini adalah (i) merumuskan interval kepercayaan untuk fungsi nilai harapan proses Poisson periodik majemuk dengan tren fungsi pangkat dengan tingkat signifikan 0<α<1, (ii) membuktikan kekonvergenan ke 1-α peluang parameter tercakup pada interval kepercayaan, (iii) menentukan panjang interval pengamatan proses terkecil sehingga peluang parameter tercakup pada interval kepercayaan mendekati 1-α, dengan simulasi komputer. … dst, The stochastic process can be used to predict or explain future events in everyday life. One form of a stochastic process is a compound Poisson process. The development of a compound Poisson process model can be done by generalizing the Poisson process used, namely using the periodic Poisson process, so that the model becomes a compound cyclic (periodic) Poisson process. The objectives of this study are: (i) to construct a confidence interval for the mean function of a compound cyclic Poisson process with significance level 0<α<1, (ii) to prove convergence to 1-α for the probability that parameters contained in the confidence interval (iii) to determine the smallest size of observation interval for the process so that the probability of parameters contained in the confidence intervals already close to 1-α, using computer simulation. … etc
Keyword: compound cyclic Poisson process, confidence intervals, mean function, power function trend

Judul: Posisi Filogenetik Kura-Kura Carettochelys Insculpta  (Reptillia: Testudinata)
Abstrak: Carettochelys insculpta is an endemic freshwater turtle of southern Papua and northern Australia. Phylogenetic position of this turtle is remain unresolved until now. Most of the research conducted show close relationships of C. insculpta and members of Trionychidae family. However, some of the research show distance between C. insculpta and members of Trionychidae family. This research is conducted to analyze phylogenetic relationship between C. insculpta and other members of Testudinata using 12S rRNA, 16S rRNA, and both gene as markers. DNA samples were obtained from three different organisms of C. insculpta. Two species used as outgroups were Alligator mississippiensis and Iguana iguana. Phylogenetic analysis was carried out using Neighbor-Joining method with Felsenstein 1981 (F81) modeltest. A polytomy tree of Testudinata was produced by using 12S rRNA gene. However, analysis using 16S rRNA and both genes as markers confirmed that C. insculpta was located between the Chelonidae and the Trionychidae family.
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