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: Photosensor producing based on ferroelectric material of Ba0,5Sr0,5TiO3 doped by Ferrium Oxide (Fe2O3) on a P-Type Silicon Substate Si (100) applied as a digital camera with a single pixel image sensor
Abstrak: Thin film Ba0,5Sr0,5TiO3 (BST) doped with Fe2O3 was grown on p-type silicon substrate (100) using chemical solution deposition (CSD). It used the solvent 2-methoxyethanol with annealing temperature of 850°C and the doping treatment Fe2O3 of 2.5, 5, 7.5, 10 % of the mass formed BST. Pure BST had the highest absorption of 600 nm of light wavelength. Additions Fe2O3 moves highest absorption in the range of 560 nm. Fe2O3 addition was strengthening thin film sensitivity to the effects of light. In general, doping Fe2O3 10% was result the best absorbance and current-voltage of BST thin film. Electrical properties of thin films BST include dielectric, photoconductivity, and dissipation energy. Based on the current-voltage (I-V) analysis, pure BST and doped BST showed photodiode properties. Dielectric values obtained in the range from 23.32 to 243. Based on electrical conductivity data and energy dissipation, BST thin films have shown photodiode characteristics and are therefore suitable as light sensors. The image sensor in a digital camera is also a light sensor. This BST thin film has been scientifically proven to be a light sensor and also it can be applied as an image sensor. This is a novelty image sensor based on thin film Ba0.5Sr0.5TiO3.
Keyword: barium strontium titanate, thin film, photodiode, image sensor, digital camera