Judul: Studi Terhadap Sebaran Stasioner Pada Sistem Bonus Malus Swiss
Abstrak: Sistem Bonus-Malus Swiss (BMS) merupakan salah satu sistem pada asuransi mobil. Sistem BMS memiliki jumlah state (x) yang terbatas yaitu 22 state dan premi yang dibayarkan oleh setiap pemegang polis tergantung pada state tersebut. Tiap tahun state dari seorang pemegang polis ditentukan oleh state tahun sebelumnya dan banyaknya kecelakaan yang dilaporkan pada tahun tersebut. Jika tidak ada kecelakaan yang dilaporkan pada jangka waktu satu tahun maka state akan berkurang sebanyak satu dan untuk setiap kecelakaan yang dilaporkan maka state akan mengalami kenaikan sebanyak s. Sebelum tahun 1990 nilai s yang digunakan pada sistem BMS adalah 3, tetapi sejak tahun 1990 berubah menjadi 4. Penetapan state dalam sistem BMS didasarkan pada pencarian sebaran stasioner r F(x) yang menyatakan banyaknya pemegang polis dalam tiap state. Untuk menentukan sebaran stasioner F(x) digunakan metode rekursif.
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Judul: Simulasi Efisiensi Sistem Bonus Malus Hongkong dengan Premi Relatif Bayes pada Asuransi Kendaraan Bermotor
Abstrak: Pada karya ilmiah ini dibahas dugaan frekuensi klaim dan penerapan sistem BonusMalus Hongkong dalam asuransi kendaraan. Sistem ini diaplikasikan pada suatu portofolio untuk menghitung premi relatif Bayes dengan meminimumkan fungsi kerugian kuadratik, sehingga dihasilkan premi yang lebih wajar dibandingkan dengan premi yang sudah ditentukan oleh sistem. Kemudian, dilihat pengaruh frekuensi klaim pada nilai premi relatif terhadap efisiensi sistem Bonus Malus. Data yang digunakan adalah data asuransi kendaraan di New South Wales, Australia dari tahun 2004 sampai 2005. Dari sistem diperoleh besar premi relatif di setiap level. Level premi pertama (state 0) adalah level premi termurah. Level premi terakhir (state 5) adalah level premi termahal. Berdasarkan hasil perhitungan, premi relatif Bayes memberikan premi termurah pada level 0 sebesar 82.89% dan premi termahal pada level 5 sebesar 269.02%, dengan nilai efisiensi sebesar 19.21% pada saat rata-rata frekuensi klaim sebesar 0.07275.
Keyword: frekuensi klaim, premi relatif Bayes, rantai Markov, sistem Bonus-Malus

Judul: Utilization of hydrolized duckweed (Lemna minor) meal as a soybean replacement in Nile tilapia (Oreochromis niloticus) diet,
Abstrak: Tilapia is a fast growing fish widely cultured in many tropical and sub tropical countries. The recent production figures reported our global production estimates for 2015 is 5,576.8 metric tons. In developing countries the major challenges facing aquaculture industry is high cost of production associated with fish feeds. Feed represents 40-70% of operating costs for aquaculture operations, increasing expenses and potential declining supplies soybean meal have led scientists to search for less expensive but compatible alternative protein sources for fish feed; most of which are based on animal or plant protein sources. The objectives of study was to determine the incubation period for hydrolysis of duckweed and to evaluate the use of hydrolized duckweed as aprotein source for the growth performance of Nile tilapia Three experiments were conducted to determine the composition and digestibility of hydrolyzed duckweed meal by sheep rumen liquor as the replacement of soybean meal in the diet of Nile tilapia. The first trial examined the effectivity of sheep rumen liquor enzyme to decrease crude fiber contents of (DWM), the added volume of sheep rumen liquor was 100 ml/kg DWM and then it was incubated for 0, 12, 24 hr . The second trial was to evaluate the apparent digestibility of hydrolyzed DWM for Nile Tilapia, apparent digestibility were determined using chromic oxide indicator added to both reference diet and test diets. The feed ingredients used in the trial were hydrolyzed DWM (HDWM) and unhydrolyzed DWM (DWM). Ten fish with an average weight of 18±0.36g were used in the trial and reared in the aquarium of size 30×40×50cm for 15 days; feces were collected from three replicates using a fecal collection column attached to the aquarium. Third trial was to evaluate the growth performance of Tilapia fed test diet with hydrolyzed Duckweed meal (HDWM). The experimental design was set according to completely randomized design with four treatments and three replicates of HDWM inclusion levels that is 0%, 15%, 30% and 45%. Nile tilapia fish with initial body weight of 18±0.36g was kept in 12 units aquarium size of 30×40×50cm at stocking density of 10fish/aquarium, the fish were fed two times a day at 08:00am and 16:00pm to apparent satiation for a period of 60 days. The results indicated that duckweed meal (DWM) hydrolyzed with 100 mL/kg and incubated for 24 hrs showed the lowest crude fiber contents of 13.68% compared to other treatments. Total digestibility of hydrolyzed duckweed (HDWM) meal was 87.3% compared with unhydrolyzed duckweed (DWM) which was 66.8%. Total final weight (TFW), survival rate (SR), specific growth rate (SGR), feed conversional rate (FCR) and protein retention (PR) shows growth performance at 15% inclusion. The results of this study showed that 100mL/kg sheep rumen liquor at incubation period of 24 hr can be suitable for hydrolysis of duckweed to reduce crude fiber also hydrolyzed duckweed can substitute soybean meal at an incubation rate of 15% in the diet of Nile tilapia and had the same growth and FCR with control diet
Keyword: Digestibility, Duckweed meal, Growth performance, Sheep rumen