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All Journal Jurnal Matematika E-Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Innovative: Journal Of Social Science Research Jurnal Yudistira
Ketut Jayanegara
Mathematics Department, Faculty Of Mathematics And Natural Sciences , Universitas Udayana
Humanities Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Public Health Transportation Other

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PERHITUNGAN PREMI ASURANSI JOINT LIFE DENGAN MODEL VASICEK DAN CIR I MADE WAHYU WIGUNA; KETUT JAYANEGARA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 8 No 3 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i03.p260

Abstract

Premium is a sum of money that must be paid by insurance participants to insurance company, based on insurance contract. Premium payment are affected by interest rates. The interest rates change according to stochastic process. The purpose of this work is to calculate the price of joint life insurance premiums with Vasicek and CIR models. The price of a joint life insurance premium with Vasicek and CIR models, at the age of the insured 35 and 30 years has increased until the last year of the contract. The price of a joint life insurance premium with Vasicek model is more expensive than the premium price using CIR model.
PENERAPAN ALGORITMA GLOWWORM SWARM OPTIMIZATION PADA MODEL GEOGRAPHICALLY WEIGHTED REGRESSION DENGAN KERNEL ADAPTIF I GEDE HARDI KARMANA; LUH PUTU IDA HARINI; KETUT JAYANEGARA; I PUTU EKA NILA KENCANA
E-Jurnal Matematika Vol 9 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i01.p282

Abstract

This study aimed to apply glowworm swarm optimization (GSO) algorithm as an alternate way to obtain optimal bandwidth in geographically weighted regression (GWR) model with adaptive kernel function. The result showed that GSO was able to obtain optimal bandwidth with lower cross validation (CV) value than the traditional way that was using k-nearest neighbor (KNN) algorithm. Unfortunately, the running time of GSO was far slower than KNN was.
IDENTIFIKASI FAKTOR-FAKTOR PEMICU KEKERASAN DALAM RUMAH TANGGA DI KOTA DENPASAR LAILY A.A. ARIFIANTI; KETUT JAYANEGARA; G.K. GANDHIADI; EKA N. KENCANA
E-Jurnal Matematika Vol 6 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2017.v06.i01.p151

Abstract

Family or domestic violence is meant as a pattern of someone behavior that abuse his/or her power against another member(s) in a family or domestic setting. Knowing the underlying factors that trigger family violence are important to keep family members form a harmonious relationship. This work is aimed to elaborate those factors. By analyzing primary data from 120 respondents whom witness and well informed about family violence in their neighborhoods, factor analyzes is applied. Data are collected by using tested questionnaires. The results showed they were six underlying factors for family violence with total accounted for all factors were 65.19 percent.  Those factors are (a) social relationship, (b) job description, (c) past experience, (d) supporting factor, (e) economics’ status, and (f) harmonious relationship level. From these factors, social relationship dominates the others with variance explained for family violence as much as 21.39 percent.
PENERAPAN HUKUM DE MOIVRE PADA PENENTUAN NILAI CADANGAN PREMI ASURANSI JIWA JOINT LIFE RIZKA AULIA NOVALINDA; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 11 No 1 (2022)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2022.v11.i01.p355

Abstract

Joint life insurance is a single policy that covers two lives. The benefit is paid out when the first person dies. Insurance companies need to calculate and assign premiums and a policy value in order to know. the expected value of the future loss. The study used the quantitative data of mortality for men and women obtained from the Indonesian Mortality Table (TMI) 2011. Data analysis techniques use the New Jersey method of prospects and a legal approach of mortality that is De Moivre’s law. The purpose of this study is to determine policy value on joint life insurance that applies to De Moivre's laws and compare policy value on joint life insurance that applies De Moivre's laws and without the application of De Moivre's laws. Research shows that joint life insurance policy value with New Jersey methods of prospective and application of De Moivre's law always come into value smaller than those without an application of De Moivre's law, but at the end of period both are worth the same according to the value of their benefits.
PREDIKSI PENGGUNA BUS TRANS SARBAGITA DENGAN METODE ADAPTIVE NEURO FUZZY INFERENCE SYSTEM SLAMET SAMSUL HIDAYAT; I PUTU EKA NILA KENCANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 2 No 3 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2013.v02.i03.p048

Abstract

Trans Sarbagita is a public transportation services people at Denpasar, Badung, Gianyar and Tabanan. Trans Sarbagita is aimed to resolve a problems caused by accretion volume of vehicles in Bali. This study conducted to forecast the number of Trans Sarbagita passengers in 2013 using ANFIS. The ANFIS system composed by five layers where each layers has a different function and its divide in two phases, i.e. forward and backward phases. The ANFIS uses a hybrid learning algorithm which is a combination of Least Squares Estimator (LSE) on forwards phases and Error Backpropagation (EBP) on the backward phases. The results show, ANFIS with six inputs with M.F of  Pi  produces smallest error, compared to seven and eight input and M.F gauss and generalizedbell. Forecast of Trans Sarbagita passenger numbers in 2013 have to fluctuated every day and the average of passenger’s Trans Sarbagita for a day is 1627 passengers with MSE equal to 10210 and MAPE is 4.01%.
ANALISIS PREFERENSI MASYARAKAT TERHADAP KUALITAS PELAYANAN RUMAH SAKIT DINI AMALIA PUTRI; I KOMANG GDE SUKARSA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 8 No 3 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i03.p256

Abstract

Conjoined analysis is a multivariate technique specifically developed to get people's preferences. The purpose of this study is to determine people's preferences for the quality of hospital services based on attributes to determine the combination of these attributes that are most desired by customers. This study uses primary data taken through surveys using a questionnaire. The survey conducted at Udayana Denpasar Hospital was applied with non-probability sampling techniques, namely accidental sampling with the number of samples needed was 100 respondents. The attributes used in this study were (a) physician services, (b) number of patients, (c) facilities, (d) location of the bathroom, and (e) price. The results showed that the most valued attribute by respondents was Facility. The combination of the level of each attribute that most influences the respondents in determining the room when doing hospitalization at the Level II Hospital of Udayana Denpasar is handled by a Specialist, consisting of 1 patient, bathroom, with facilities consisting of tv, air conditioning, refrigerator, cupboard , buffet, sofa, table, living room and bed for the patient's family, with a price of> 1,000,000.
CADANGAN PREMI ASURANSI JOINT-LIFE DENGAN SUKU BUNGA TETAP DAN BERUBAH SECARA STOKASTIK NI KOMANG SUKANASIH; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p188

Abstract

Joint life is an insurance that covered two or more individuals in one policy. This research aims to determine the value and comparison of fixed deposit rate premium and stochastic rate with Vasicek model. It used prospective calculation method. The mortality table in the research used TMI-2011, for participant were couple age 40 and 35 years old with 10 year premium payment. Under this condition the value of constant rate premium and Vasicek rate premium is and . Besed of this research showed the value of the Vasicek rate premium is smaller than constant rate premium.
POLICY VALUES ASURANSI JOINT LIFE SUAMI ISTRI DENGAN METODE PROSPEKTIF I WAYAN SANDY BAYU NUGRAHA; KETUT JAYANEGARA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 8 No 2 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i02.p243

Abstract

Policy values are funds be held by insurance company that will be used for unexpected claims from insurance participants. The purpose of this work is to calculate constant annual premiums with and without pure endowment on joint life couple insurance, then determine and calculate formula policy values with prospective method. The policy values ??in joint life couple insurance, are affected by premium payments. Policy values ??benefit at the end of the 1st year until the end of the 11th year will increase, because the money received by insurance company from premium payments is more than the sum insured to be paid. Policy values ??benefit at the end of the 11th year until the end of the 66th year will decrease because there are no more premium payments.
PENENTUAN CADANGAN PREMI ASURANSI DWIGUNA MENGGUNAKAN METODE ILLINOIS BERDASARKAN HUKUM MORTALITAS WEIBULL AYU EKA FANNY DEVI; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 10 No 4 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2021.v10.i04.p347

Abstract

Endowment insurance provides protection benefit and saving benefits. In the endowment insurance the insured party (insurance participant) must be paid the premiums. In addition to premiums, there is also policy value, which is sum of money that must be collected by the company in preparation for claim payment. The purpose of this study was to determine calculation of policy value in endowment insurance using Illinois method based on Weibull Mortality Law. In this study used secondary data from United States Life Table in the form of mortality probability data. Calculation value using Weibull mortality law, then the policy value calculated by Illinois method. The result of this study is policy value using Illinois Method based on Weibull Mortality Law is bigger than policy value using Illinois method without Weibull mortality law in the first year until year 20th. After year 20th, the policy value using Illinois method based on Weibull mortality law is smaller than policy value using Illinois method without Weibull mortality law, while at the end of the insurance year which is year 30th, the policy value with or without Weibull mortality law generates the same value.
ASURANSI JIWA ENDOWMENT DENGAN PENGEMBALIAN PREMI MENGGUNAKAN SIMULASI MONTE CARLO MADE EDI HENDRAWAN; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 8 No 2 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i02.p240

Abstract

Premium refunds are a sum of the money returned to the insured. The purpose of this study was to compare the premium of endowment life insurance with premium refund on constant interest rates numerical calculations and using Monte Carlo simulations. Gompertz distribution was used to obtain the mortality rates. The results showed that the premiums generated by Monte Carlo simulations for insurance participants issued under 45 years will be more expensive than the ones which were generated by numerical calculations. However, the premiums generated by Monte Carlo simulations for insurance participants issued above 45 years will be cheaper than the ones which were generated by numerical calculations.
Co-Authors AYU EKA FANNY DEVI Damayanthi, Ni Wayan Rita Darma Arnawa Desak Nyoman Trisnawati DINI AMALIA PUTRI Eka N Kencana EKA N. KENCANA EKA N. KENCANA EKA N. KENCANA G. K. GANDHIADI I GEDE HARDI KARMANA I GEDE PUTU MIKI SUKADANA I Gusti Ayu Made Srinadi I KOMANG GDE SUKARSA I KOMANG GEDE ANTARA I MADE CANDRA SATRIA I MADE WAHYU WIGUNA I Nyoman Widana I Putu Eka Nila Kencana I WAYAN SANDY BAYU NUGRAHA I Wayan Sumarjaya IA KOMANG MERIANI Ida Bagus Kade Puja Arimbawa K. KADEK BUDINIRMALA KADEK DITA SUGIARI Kencana, Eka N. Komang Dharmawan LAILY A.A. ARIFIANTI LUH PUTU IDA HARINI MADE EDI HENDRAWAN MADE PUTRI ARIASIH MADE SANJIWANI Made Susilawati NATALIE NOVENRODUMETASA NATASHA RANI BORU PURBA SIGUMONRONG Nhadya Almar Putri NI KETUT AYU MURNIASIH NI KOMANG SUKANASIH NI LUH DE SISKA SARI DEWI Ni Luh Putu Suciptawati Ni Made Asih NI NYOMAN AYU ARTANADI NI WAYAN ARNI YANITA NI WAYAN EKA SURYA ARTINI Ni Wayan Rita Damayanthi PUTU NOPITA PURNAMA NINGSIH PUTU OKA SURYA ARSANA RIZKA AULIA NOVALINDA SLAMET SAMSUL HIDAYAT ULFA DIANITA VICTOR MALLANG Wijayakusuma, I Gusti Ngurah Lanang ZANUAR SEPTYADI