Judul: Aproksimasi total kerkugian model risiko individu dengan poisson majemuk
Abstrak: Salah satu cara yang bisa ditempuh oleh setiap orang untuk meminimumkan risiko ketidakpastian dalam hidupnya adalah dengan asuransi. Dengan mengikuti asuransi kerugian yang mungkin terjadi akan ditampung oleh pihak perusahaan asuransi. Dalam menentukan suatu kebijakan, perusahaan asuransi dipengaruhi oleh banyaknya klaim dan total kerugian yang tejadi. Oieh karena itu berbagai macam model matematika dibuat untuk melihat pen'laku kIaim sehingga dapat mernperhitungkan risiko dan meminimumkannya. Salah satu di antaranya adalah model risiko individu. Dalam model risiko individu, total kerugian didefinisikan sebagai jumIah seluruh risiko yang terjadi dari suatu portofolio asuransi. Sekumpdan risiko yang mempunyai peIuang tejadinya sama atau hampir sama digolongkan kepada model risiko individu homogen. Gabungan dari kelornpok risiko individu homogen disebut dengan model risiko individu tidak sejenis. Aproksimasi totaf kerugian dan banyaknya klaim merupakan peubah acak Poisson dm saling bebas. Error aproksimasi total kerugian dipengaruhi oleh parameter Poisson. Dengan memberikan beberapa kasus yang berbeda, maka dapat dilihat tingkat ketelitian aproksimasi oleh parameter Poisson tersebut.
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Judul: Pemodelan Peluang Risiko dengan Menggunakan Sebaran Compound Generalized Poisson
Abstrak: Insurace is a form of risk management that is used for protection against loss. In insurance companies, the pricing of insurance premium should be based on fair principles, i.e. in accordance with the value of class of risk. The higher the risk, the higher amount of insurance premium will be. The class of risk can be estimated by insurance claim. Modelling the claim frequency is one of the most important areas in risk theory. Generally, insurance claims can be modelled with Poisson or negative binomial distribution. Gossiaux and Lemaire (1981) and Willmot (1987) have considered generalized Poisson distribution as an alternative to Poisson or negative binomial disribution. Generalized Poisson distribution will be applied if there is overdispersion in data. Generalized Poisson distribution can be viewed as a compound Poisson (𝜃) and sum of Borel (𝜆) distribution. If a random variable N (the number of claims) has a generalized Poisson distribution, then the total number of claims has a compound generalized Poisson distribution. A recursive algorithm is needed to model the risk probability of this distribution. First step of this algorithm is to compute the coefficients of the moment generating function, which sum to the probability function of the compound Borel (𝜆) distribution. The next step of this algorithm is to compute the probabilities by using Panjer’s recursion formula for the Poisson (𝜃) distribution.
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Judul: Separation of Neodymium from U3Si2/Al Fuel Plate for Burn-Up Determination
Abstrak: Neodymium is a common fission product produced in nuclear fission reactions. Neodymium in this study was chosen as a burn-up indicator for U3Si2/Al fuel element plates because the neodymium isotope is a stable fission product with a fairly high yield. Some procedures were carried out to separate neodymium, starting with the separation of cesium isotopes (137Cs, 134Cs) through the precipitation method, then separation of uranium isotopes (235U, 238U) and plutonium isotopes (239Pu, 238Pu) with Dowex 1x8 ion exchange resin, and separation of neodymium (Nd), samarium (Sm), as well as cerium (Ce) with Dowex 1x4 ion exchange resin. The Cs recovery reached 99.95%. The U and Pu isotopes resulting from the separation are subjected to an electrodeposition process and the weight of each isotope can be measured with an alpha spectrometer. The separation results of Nd from Sm and Ce have been proven using an XRF spectrometer. The neodymium isotopes separation was corrected using the standard addition method, and an average total Nd content of 2.4 ppm was obtained in the PEB U3Si2/Al bottom solution. It is hoped that this separation method can be applied in determining burn-up of nuclear fuel.
Keyword: neodymium, burn-up indicator, U3Si2/Al fuel plate