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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Matematika Sains dan Teknologi BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Pengabdian Sumber Daya Manusia Jurnal Pengabdian Pada Masyarakat RAGAM: Journal of Statistics and Its Application
Lestia, Aprida Siska
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
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PELUANG TRANSISI PADA PENENTUAN PREMI TUNGGAL BERSIH ASURANSI JIWA BERJANGKA Muhammad Meidy Maulana; Dewi Sri Susanti; Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(1), 2022
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (366.124 KB) | DOI: 10.20527/epsilon.v16i1.5174

Abstract

A life insurance contract contains the amount of funds that must be paid by insured as a responsibility for a received compensation. There funds are called as premium. Payment of the premium which paid with one payment at the beginning of the contract time called as net single premium. One factor that influenced the calculation of life insurance premiums is a life probability. In general, a life probability constructed by the assumption that death only involves two conditions, life and death. Yet, there are another condition for the insured that also affect a person’s death condition which is sick. The objecktive of this research is to determine net single premium of term life insurance formula using transition probability as a life probability. The first will constructed transition from three condition which are health, sick, and death as stochastic process. Transition probability will be determined by solving Chapman Kolmogorov system differential equation. Then the probability transition that determined will be used for calculate net single premium from term life insurance. Net single premium will be determined by using expectation value of present value of benefit random variables. From this research get formula of net single premium of term life insurance contains discount function, transition probability, and force of mortality of someone.
UKURAN RISIKO BERDASARKAN PRINSIP PENENTUAN PREMI : PROPORTIONAL HAZARD TRANSFORM Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (311.576 KB) | DOI: 10.20527/epsilon.v8i2.109

Abstract

The problem that will be discussed in this paper is an analysis of one type of risk measure that determines it based on the principle of premium determination (premium-based risk measures), namely Proportional Hazard (PH) transform, both in the form of basic concepts and their properties. It will then assess the size of the risk for some of the total data distribution models of insurance claims that are generally heavy tailed. Where the assessment process is done simulated using Monte Carlo method and recursive method. The discussions made for the distribution of total claims will only be limited to the claims of distributed gamma, Weibull, Pareto, lognormal, and loglogistic and distribution of many claims used in the form of binomial, binomial negative and Poisson.
KARAKTERISTIK UKURAN RISIKO DISTORSI Rusidawati Rusidawati; Aprida Siska Lestia; Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(1), 2022
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (364.513 KB) | DOI: 10.20527/epsilon.v16i1.5175

Abstract

Insurance is a risk transfer from the insured to the insurer. In general insurance companies are grouped into two types that life insurance and general insurance. For measure risk in general insurance the method used is using a measure of risk. In the study of risk management, there is one method forming risk measure known a distortion function. The purpose of this study is prove theorems of properties a measure of coherent and consistent risk of distortion. In this study explain the formation of a measure of risk distortion using a distortion function, indicates that if the distortion function is a concave function and shows the consistency of risk distortion measures preserve second order stochastic dominance and show coherence and consistency several of distortion risk measures. The results of this study concave distortion function is a necessary condition and sufficient condition for coherence and a strictly concave distortion function is a necessary condition and sufficient condition for strict ordering consistent with preserve second order stochastic dominance.
ASURANSI JIWA BERJANGKA LAST SURIVOR Yogi Apriyanto; Yuni Yulida; Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 12, No 2 (2018): JURNAL EPSILON VOLUME 12 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (206.859 KB) | DOI: 10.20527/epsilon.v12i2.316

Abstract

Dalam asuransi jiwa untuk mendapatkan uang pertanggungan seperti yang dijanjikan dalam polis asuransi, tertanggung haruslah membayar premi kepada penanggung dan penanggung akan memberikan santunan kepada ahli waris jika tertanggung meninggal dunia. Pembayaran premi dapat dilakukan secara sekaligus dalam satu kali pembayaran di awal perjanjian (premi tunggal) atau secara berkala (premi tahunan). Asuransi jiwa menyediakan perlindungan untuk satu orang (single life) maupun dua orang atau lebih (multiple life). Pada asuransi multiple life terdapat dua istilah berdasarkan status kematian dari kumpulan tertanggung yaitu joint life dan last survivor. Asuransi last survivor yaitu asuransi jiwa dimana uang pertanggungan dibayarkan pada ahli waris apabila orang terakhir dari sekelompok tertanggung telah meninggal dunia. Jika tertanggung mengikuti asuransi selama n tahun dan semua tertanggung meninggal dunia dalam jangka waktu tersebut untuk menerima uang pertanggungan, maka jenis asuransi yang digunakan adalah asuransi jiwa berjangka last survivor. Tujuan dari penelitian ini adalah untuk membentuk rumusan premi tahunan pada asuransi jiwa berjangka last survivor untuk tiga tertanggung. Penelitian ini bersifat studi literatur. Hasil dari penelitian ini terbentuknya suatu rumusan premi tahunan asuransi jiwa berjangka last survivor untuk dua orang tertanggung dan untuk tiga orang tertanggung.Kata kunci : Asuransi Jiwa Berjangka, Premi Tahunan, Last Survivor.
MODEL EPIDEMIK PENYAKIT DIARE DENGAN FUNGSI INSIDENSI HOLLING TIPE DUA Yuni Yulida; Aprida Siska Lestia; Riska Fitria; Azkia Khairal Jamil
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(2), 2022
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v16i2.6642

Abstract

Model epidemik merupakan salah satu bentuk model matematika di bidang epidemologi. Penyakit diare adalah salah satu penyakit menular yang dapat dicegah melalui treatment. Tujuan penelitian ini adalah untuk menjelaskan terbentuknya model epidemik penyebaran penyakit diare,  menganalisis kestabilan model, dan membuat simulasi numerik. Penelitian ini menggunakan metode linierisasi untuk melinierkan model nonlinier. Metode matriks next generation  untuk menentukan Basic reproduction number  dan metode runge kutta orde empat untuk melakukan simulasi model. Hasil dari penelitian ini, diperoleh model epidemik penyakit diare berbentuk Model SIRT (Susceptible, Infected, Treatment, Recovered) dengan fungsi insidensi Holling Tipe 2. Selanjutnya, diperoleh dua titik ekulibrium dan diperlihatkan bahwa  berperan penting dalam proses penyebaran penyakit. Jika   maka titik ekuilibrium bebas penyakit stabil asimtotik sehingga populasi akan terbebas dari wabah penyakit. Sebaliknya jika  maka titik ekuilibrium endemik stabil asimtotik sehingga penyakit akan selalu ada dalam populasi. Berdasarkan nilai indeks sensitivitas menunjukkan bahwa parameter laju kontak efektif dan laju kelahiran  adalah parameter yang paling sensitif (berbanding lurus) terhadap perubahan nilai . Selanjutnya, simulasi model diberikan untuk memperlihatkan ilustrasi terhadap analisa kestabilan model
REGRESI PANEL DALAM ANALISIS NILAI TUKAR PETANI TANAMAN PANGAN (NTTP) LIMA PROVINSI PENGHASIL BERAS TERBESAR DI INDONESIA Maria Ulfah; Aprida Siska Lestia; Fuad Muhajirin Farid
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(2), 2022
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v16i2.7168

Abstract

To assess the success of development in agriculture can be done by looking at the level of welfare of farmers, which can be measured from the Farmer Exchange Rate (NTP). NTP is the ratio between the price index value received by farmers and the price index value paid by farmers. NTP is suspected to have a relationship with various factors, where to determine the influence of these factors can be done through modeling both as response variables and predictor variables. NTP values in several sectors can be observed from an object of research in a certain period of time. Therefore, panel data regression can be used in modeling the relationship between NTP and the factors that influence it. The purpose of this research is to analyze the factors that are thought to influence the Food Crop Farmer Exchange Rate (NTTP) by using panel data regression. The factors referred to are land area, harvested area, production, productivity, GRDP of the agricultural sector, inflation, and the consumer price index.. The data used comes from the five largest rice-producing provinces in Indonesia according to data from the Ministry of Agriculture in 2020. This research data is sourced from the website of the Badan Pusat Statistik (BPS) and the Indonesian Ministry of Agriculture for the 2008-2017 time period. The independent variabels in the study were land area, harvested area, production, productivity, agricultural sector GDP, inflation, and the consumer price index, while the dependent variabel was NTTP. The results of the regression analysis, it can be concluded that the Common Effect Model is the best model of the NTTP panel regression in 5 provinces of Indonesia with an R-Squared value of 53.25% and an error value of 7.55% accuracy of the estimation results using MAPE. This shows that the factors that are thought to affect NTTP such as Productivity, Inflation, and CPI have a significant influence, while the variabels of Land Area, Harvest Area, Production, GRDP of the Agricultural Sector are not significant in the regression model and the rest is influenced by other factors. outside of this research. The value of the MAPE accuracy error rate shows a percentage below 10% which means the forecast value is very accurate.
MODEL EPIDEMIK CAMPAK DENGAN ADANYA VAKSIN PADA POPULASI RENTAN DAN SUPPORT PADA POPULASI TEREKSPOSE Tri Puspa Lestari; Yuni Yulida; Aprida Siska Lestia
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.4062.2023

Abstract

Measles is a highly contagious disease and often occurs in children due to malnutrition, especially children with vitamin A deficiency and a weakened immune system. In addition to vaccination, the role of parents is needed in the form of support to control the development of the virus in the body. This measles disease can be modeled through a mathematical model, especially epidemic model. This study aims to explain the formation of a mathematical model of measles, determine the equilibrium point, basic reproduction number, stability analysis, and to perform numerical simulations on the model. The research procedure begins with construct a model using a system of nonlinear differential equations. The basic reproduction number can be determined using the next generation matrix method and analysis of model stability using the linearization method. While numerical simulation has been carried out using the fourth order Runge Kutta method. The result of this study is the formation of a mathematical model of measles with a population consisting of four compartments, namely Susceptible, Exposed, Infected and Recovered. Disease control is carried out in the model, namely vaccines in the Susceptible population and support measures in the Exposed population. From the model formed, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point. Furthermore, the basic reproduction number formula and analysis of the stability of the model at the disease-free equilibrium point and endemic equilibrium point are also obtained. Finally, a simulation model is presented to support stability analysis and comparison of solutions for the Infected population before being given control support and after being given control support with variations in vaccine percentages.
APLIKASI MODEL TREND UNTUK MEMPREDIKSI PRODUKSI KELAPA SAWIT PROVINSI KALIMANTAN SELATAN Salam, Nur; Lestia, Aprida Siska; Jannah, Noor; Firdaus, Muhammad
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN (EPSILON: JOURNAL OF PURE AND APPLIED MATHEMATICS) Vol 18, No 1 (2024)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v18i1.10780

Abstract

The plantation sector has a large and extensive reach, one type of plantation crop that is widely cultivated in Indonesia is oil palm. Business in the oil palm plantation sector is also one of the leading potential areas in South Kalimantan Province. One of the provinces producing the most palm oil in Indonesia is South Kalimantan Province. This research is a literature study regarding predictions of palm oil production. The aim of this research is to determine the appropriate prediction model for data on the amount of palm oil (CPO) production in the South Kalimantan Province Region and to explain the results of palm oil predictions in the South Kalimantan Province Region using a trend model. The application of the trend model used in this research takes into account the error value obtained with the smallest MAPE (Mean Absolute Percentage Error). The nature of the data regarding the amount of palm oil production in the South Kalimantan Province Region from 2001 to 2021 tends to continue to increase so that the data can be predicted using trend methods, namely linear, quadratic and exponential. For the prediction results of palm oil production using the best trend model with the smallest MAPE value, namely 16% with the linear trend model: ... The predicted amounts of palm oil production from 2022 to 2027 which tend to continue to increase are: 1.336.359, 1.397.196, 1.458.032, 1.518.869, 1.579.705 and 1.640.542 tons.
METODE BLACK-SCHOLES DALAM PENENTUAN HARGA OPSI Taufik, Ahmad; Idris, Mochammad; Lestia, Aprida Siska
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN (EPSILON: JOURNAL OF PURE AND APPLIED MATHEMATICS) Vol 18, No 1 (2024)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v18i1.12604

Abstract

The Black-Scholes Method is one of the option pricing method that introduced by Fischer Black and Myron Scholes in 1973. This study aim to review the determination of the price of an option with stocks as the underlying assets and based on  Black and Scholes assumptions. These assumptions lead to construct an equation named Black-Scholes differential equations, which is the equation that must be satisfied for option as the derivative instrument and non-dividend giving stocks as the underlying assets. After the Black-Scholes differential equations formed successfully, the next step is to find the solution of that equation. Consider the option is call option, the solution that will be obtained from solving the equation is the price of call option. Then substitute it to the put-call parity equation, which is the equation that shows the relationship between call and put option prices, so the price of put option can be obtained too. The estimation that obtained from the Black-Scholes method is the highest price for a contract is said to be fair and worth to buy for the holder.
Pendampingan Pembuatan Suplemen Bahan Ajar Matematika dan Penelitian Tindakan Kelas di MGMP Matematika SMA/MA Kabupaten Tanah Laut Idris, Mochammad; Lestia, Aprida Siska; Abdurrahman, Saman; Hijriati, Na’ímah; Lissa, Hermei; Gunawan, I Wayan Ari; Amalia, Zharfa Rizqi; Andriani, Asfia
Jurnal Pengabdian Pada Masyarakat Vol 9 No 2 (2024): Jurnal Pengabdian Pada Masyarakat
Publisher : Universitas Mathla'ul Anwar Banten

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30653/jppm.v9i2.664

Abstract

Pasca pandemi Covid-19, institusi pendidikan berbenah kembali dengan mengatur ulang pelaksanaan kurikulumnya. Hal ini menuntut guru berinovasi dalam mengembangkan keterampilannya. Guru sebagai salah satu sumber belajar menjadi tumpuan peserta didiknya dalam mencari informasi dan penjelasan, terutama mengenai kesulitan dalam memahami materi pelajaran, khususnya pelajaran matematika di tingkat SLTA. Tim Pengabdian Kepada Masyarakat (PKM) dari Program Studi Matematika FMIPA Universitas Lambung Mangkurat (ULM) berinisiatif mengajak mitra yaitu forum Musyawarah Guru Mata Pelajaran (MGMP) Matematika SMA/MA Kabupaten Tanah Laut Kalimantan Selatan dalam kegiatan PKM dengan peserta guru anggota MGMP tersebut. Tujuannya untuk meningkatkan inovasi guru dalam pembelajaran siswa dan dapat menerbitkan artikel ilmiah pada jurnal nasional. Metode yang digunakan dalam kegiatan ini berupa diskusi dan sharing dengan materi tentang pembuatan suplemen pelajaran matematika, teknis dalam Penelitian Tindakan Kelas (PTK), dan pengenalan metode statistika untuk analisis data. Pelaksanaan kegiatan berlangsung dengan lancar dan sesuai harapan. Para peserta memberikan apresiasi yang baik dan bersemangat untuk membuat PTK serta menyusun materi tambahan dalam pelajaran matematika. Harapan selanjutnya, peserta didik dari anggota MGMP dapat bertambah wawasan dan semakin meningkat kualitas hasil belajarnya. After the Covid-19 pandemic, educational institutions have reorganized their curriculum implementation. This requires teachers to innovate in developing their skills. Teachers as one of the sources of learning become the focus of their students in seeking information and explanations, especially regarding difficulties in understanding subject matter, especially mathematics lessons at the high school level. The Community Service Team (PKM) from the Mathematics Study Program FMIPA Lambung Mangkurat University (ULM) took the initiative to invite partners, namely the forum for the High School Mathematics Teacher Consultation (MGMP) in Tanah Laut Regency, South Kalimantan, in PKM activities with teacher participants from the MGMP. The goal is to increase teacher innovation in student learning and be able to publish scientific articles in national journals. The method used in this activity is in the form of discussion and sharing with material on making math lesson supplements, techniques in Classroom Action Research (PTK), and introduction to statistical methods for data analysis. The implementation of the activity went smoothly and as expected. The participants gave good appreciation and were eager to make PTK and compile additional materials in math lessons. The next hope is that students from MGMP members can gain more insight and improve the quality of their learning outcomes.
Co-Authors Ahmad Taufik Amalia, Zharfa Rizqi Andriani, Asfia Ariandy Hermawan Azkia Azkia Azkia Khairal Jamil Balya, Muhammad Afief Dewi Anggraini Dewi Sri Susanti Faisal Faisal Fitriani Fitriani Fuad Muhajirin Farid Fuad Muhajirin Farid Gunawan, I Wayan Ari Hijriati, Naimah Idris, Mochammad Kasim Alfarisi Lissa, Hermei Maria Ulfah Muhammad Firdaus Muhammad Meidy Maulana Nabila Septiani Nadya Pratiwi Noor Baitirahmah Noor Jannah, Noor Nur Salam Nur Salam Pardi Affandi Putri Norhikmah Riska Fitria Rusidawati Rusidawati Saman Abdurrahman Sekar Wahyuningtias Siti Jubaidah Syifa Ajeria Thaibatun Nissa Thresye Thresye Tri Puspa Lestari Winda Adinda Tanjung Wuri Setyana Sari Yogi Apriyanto Yuana Sukmawaty Yuni Yulida