Judul: Modifikasi Model Eksponensial dalam Penyusunan Tabel Hayat Lengkap
Abstrak: Population mortality data of a country is usually given in life tables. Based on the age interval, life tables are divided into two, Abridged life tables and complete life tables. The abridged life table is often used by state with incomplete population mortality data. In life insurance, life tables are used to determining the amount of premium to be paid by the insurance holder. This paper creates the continuous model for the complete life table based on the abridged life table. By comparing the coefficient of determination of the Kostaki method (2000), exponential model (Rachmadani 2006), and continuous models, this work concludes that the best life table is produced by the Kostaki meth
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Judul: Modifikasi Metode Interpolasi Kostaki dalam Menduga Tabel Hayat Lengkap Berdasarkan Tabel Hayat Ringkas
Abstrak: Information about a person's chances of survival according to age is needed to predict the amount of claims to be paid by an insurance company in the future. This requires a complete life table. Several methods are available to estimate a complete life table, among others there are Elandt-Johnson, Brass Logit, Heligman-Pollard, and Kostaki methods. The purpose of this paper is to modify the Kostaki method, which then will be compared to the other interpolation methods. This method does not require a standard data in making estimation of a complete life table. Standard data are replaced by results of interpolated probability of dying on the abridged life table. The method of interpolation is a six-point Lagrangian interpolation and Heligman-Pollard (HP) method. This paper provides two alternative models of HP method. Each model has been simplified to make it easier to estimate the values of its parameters. The data are derived from the USA life tables of 2002 and 2007, which are obtained from the Human Mortality Database. The complete USA life table of 2002 is used as the standard data. The first step is to examine each of the interpolation method of abridged life table. Furthermore, a complete USA life table of 2007 is developed based on USA abridged life table 2007 using each of the methods. The last step is comparing the results obtained by each method with the empirical complete USA life table of 2007. Mean absolute error and coefficient of determination are used to test the suitability of the empirical data with the estimated data based on the methods. The results of this research recommend three best interpolation methods, namely Kostaki, modified Kostaki with Lagrangian interpolation, and Elandt-Johnson methods. Among these methods, only Kostaki method requires standard data of complete life table. Therefore, Elandt-Johnson method and modified Kostaki are recommended to be used. Between these methods, Elandt-Johnson is the most recommended, because it is simpler to apply.
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Judul: Natural Pearlescent Pigment Dari Kristal Guanin Sisik Ikan Bandeng (Chanos Chanos)
Abstrak: Pearlescent pigment yang dikenal dengan nama pearl essence atau fish silver merupakan pigmen berwarna keperakan yang memiliki kenampakan seperti mutiara. Natural pearlescent pigment diperoleh dari sisik ikan dengan kandungan guanin 75-97%, dan kini mulai banyak digunakan pada industri personal care dan produk kosmetika. Penelitian ini bertujuan untuk menentukan teknologi ekstraksi natural pearlescent pigment dan karakteristik kualitatif kristal guanin pada sisik ikan bandeng (Chanos chanos). Perlakuan dalam penelitian ini meliputi ekstraksi menggunakan air deionisasi dengan sisik yang dibekukan terlebih dahulu, air deionisasi 10 οC, dimetil sulfoksida 15%, dan 25% (v/v). Hasil spektrum absorbansi UV-Vis menunjukkan kristal guanin merupakan pigmen berwarna putih berdasarkan serapan pada panjang gelombang 200-800 nm. Hasil terbaik diperoleh pada ekstraksi menggunakan air deionisasi dengan sisik beku nilai kristalinitas 68,4%, serapan gugus amina pada 3410 cm-1 dan gugus amida pada1681 cm-1, puncak intensitas 2θ pada sudut 27,7° yang menunjukan identitas dari kristal guanin anhidrat. Tingkat kandungan guanin sebesar 0,0455 ± 0,0033 g (0,46%).
Keyword: Dimetil sulfoksida, guanin, kosmetik, kristalinitas, pearlescent pigment