Judul: Pendugaan sebaran lama perawatan nasabah asuransi
Abstrak: Health insurance is an insurance product that guarantees health care costs for customers. One of the products is designed specifically for elderly (over 55 years). The elderly often get health problems, because of them often reduce human organs function. This will affect to the increasing claims of customers. Knowledge about the distribution of claims is very important for insurance companies. Kind of claims in this research is length of treatment. Furthermore to study the behavior of the claims may also be used as a model to predict the cost of insurance in the following years. The main purpose of this research is to estimate the costumers claims distribution of P.T. Asuransi Jiwa Bringin Jiwa Sejahtera, as an insurance company that held a special health insurance elderly. Another purpose is to analyze the relationship between groups of the elderly disease with the distribution length treatment of healthy insurance. The data used in the research is length treatment data which collected from 2002 until April 2010 by P.T. Asuransi Jiwa Bringin Jiwa Sejahtera. The length treatment was estimated by discrete, continuous and mixture distribution. The methods that used for test goodness of fit distributions such as quantile-quantile plot, Cramer-van Mises, and chi-square test. The result showed that the fit costumers claims distribution with 8 groups is mixture lognormal distribution.
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Judul: Pemodelan Sebaran Total Klaim pada Asuransi Sosial dengan Metode Compound Dua Peubah Acak Bebas
Abstrak: Salah satu cara untuk menentukan cadangan klaim asuransi adalah dengan menentukan sebaran dari total klaim. Total klaim merupakan total pengeluaran dalam satu periode yang harus ditanggung oleh suatu perusahaan asuransi. Total klaim dibentuk dari sebaran banyak klaim dan sebaran besar klaim. Untuk menghitung total klaim dibutuhkan model sebaran compound. Dalam karya ilmiah ini digunakan metode compound dua peubah acak bebas untuk memodelkan sebaran total klaim dari data BPJS Ketenagakerjaan Kota Pekalongan tahun 2020. Data tersebut terdiri dari data program Jaminan Kecelakaan Kerja, Jaminan Pensiun, dan Jaminan Kematian. Hasil Uji Khi Kuadrat menunjukkan bahwa sebaran binomial negatif merupakan sebaran yang cocok untuk memodelkan sebaran banyak klaim, sedangkan hasil Uji Anderson Darling menunjukkan bahwa dari masing-masing program jaminan memiliki sebaran yang berbeda untuk sebaran besar klaim. Dari hasil sebaran total klaim tersebut dapat ditentukan nilai harapan dan ragam dari sebaran agregat pada masing-masing program jaminan., One way to determine the reserve for insurance claims is to determine the distribution of aggregate claims. Aggregate claims are total losses within one period that must be borne by an insurance company. Aggregate claims are formed from the distribution of the number of claims and amount of claims. To calculate aggregate claims, a compound distribution model is used. In this manuscript, the compound of two independent random variables method is used to model the distribution of aggregate claims from BPJS Ketenagakerjaan participants in Pekalongan City in 2020. The data consists of data on work accident insurance, pension security, and death benefits programs.The Chi-Square Test results show that the negative binomial distribution is a suitable distribution to model the claim frequency distribution. Meanwhile, the results of the Anderson Darling test show that each guarantee program has a different distribution for the distribution of claim severity. From the results of the distribution of the aggregate claims, it can be determined the expected value and the variance of the aggregate distribution in each guarantee program.
Keyword: aggregate claims, amount of claims, compound distribution, number of claims

Judul: Heterologous Expression Of Endo-Β-Xylanase From Bacillus Pumilus Strain Bcrs-01 In Escherichia Coli.
Abstrak: Xylanases are glycoside hydrolase family 11 which depolymerise xylan in the plant cell wall, the most excessive form of hemicellulose. Endo-β-xylanases (EC 3.2.1.8) are most important to breakdown β-1,4-glicoside bond of xylan to produce disaccaride xyloolygosaccaride (XOs) and xylose (monomer). Bovine rumen fluids have potential to obtain endo-β-xylanase produced of bacteria. The objectives of this study were to obtain xylanase producing bacteria and to express xynA gene encoding endo-β-xylanase from bacterium in Escherichia coli. Twenty nine isolate bacteria have been succesfully isolated from bovine rumen fluid in agar medium containing birchwood xylan. Isolate BCRS-01 bacterium was previously screened for the high production of xylanase. Based on 16S rRNA gene sequence analysis, BCRS-01 showed high similarity (99%) to Bacillus pumilus (accession number NR043241). The crude xylanase had optimal activity at 55oC, pH 7.0. Furthermore, the crude xylanase exhibited broad pH stability from 4.0 to 10.0 and remained more than 60% and 40% of its activity after incubation at pH 4.0 until 10.0, respectively for 60 min. It also showed a stability at temperature 25-50oC since it retained 80% and 50% of its activity when incubated at 50oC or 30 and 60 min, respectively. The xylanase activity was strongly inhibited by Ca2+ and Cu2+ at concentration 10 mM, and as little as 1 mM for Mn2+. Therefore, this xylanase has potentially used as additive feeds in animal feed industry. The DNA sequence xynA gene encoded endo-β-xylanase was amplified and cloned into the expression vector pET-15by under the control of T7 promoter. The recombinant protein had succesfully expressed in Escherichia coli BL21 (DE3) pLysS. A protein recombinant of approximately, 26.7 kDa was observed on the SDS-PAGE analysis. Crude extract of recombinant endo-β-xylanase demonstrated activity of enzyme at 56 U mL-1 using birchwood xylan as a substrate at 55oC for 10 min.
Keyword: Bacillus pumilus, bovine rumen fluid, endo-β-xylanase, heterologous expression.