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Journal : EIGEN MATHEMATICS JOURNAL

Estimasi Parameter Regresi Linear Menggunakan Regresi Kuantil Baiq Devi Rachmawati; Qurratul Aini
Eigen Mathematics Journal In Press Desember 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (279.006 KB) | DOI: 10.29303/emj.v2i2.15

Abstract

Regression analysis is a statistical analysis method for estimating the relationship between dependent variables (Y) and one or more independent variables (X) . As the purpose of this study is to theoretically examine the quantile regression method in estimating linear regression parameters. In regression analysis usually the method used to estimate parameters is the least square method with assumptions that must be met that normal assumption, homoskedasticity, no autocorrelation and non multicollinearity. Basically the least square method is sensitive to the assumptions of deviations in the data, so that the estimations results will be lees good if the assumptions are not fulfilled. Therefore, to overcome the limitations of the least square method developed a quantile regression method for estimating linear regression parameters. Based on the result of research that has been done shows that the estimation of linear regression parameters using the quantile regression method is obtained by minimazing the absolute number of errors through the simplex algorithm.
Model Dinamika Penyebaran Penyakit Campak dengan Pengaruh Vaksinasi dan Penerapannya di Provinsi Nusa Tenggara Barat Mutmainnah Mutmainnah; Lailia Awalushaumi; Qurratul Aini
Eigen Mathematics Journal Vol. 2 No. 1 Juni 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (498.901 KB) | DOI: 10.29303/emj.v1i1.34

Abstract

Campak adalah suatu penyakit akut yang sangat menular yang disebabkan oleh Measles virus. Penyakit ini ditularkan melalui droplet ataupun kontak dengan penderita. Selain menimbulkan berbagai macam komplikasi, penyakit ini juga dapat menyebabkan kematian. Dalam tulisan ini akan dirumuskan model dinamika penyebaran penyakit campak dengan pengaruh vaksinasi, yang digunakan untuk melihat pengaruh vaksinasi terhadap penyebaran penyakit campak di Provinsi NTB. Model dinamika penyebaran penyakit oleh pengaruh vaksinasi campak, diperoleh sebagai berikut :dS/dt=(1-θ)Π-αSI/N-μS ; dI/dt=αSI/N-μI-μ I-βI ; dV/dt=θΠ+βI-μVBerdasarkan simulasi dari model di atas, diperoleh kesimpulan bahwa semakin besar cakupan vaksinasi yang dilakukan di Provinsi NTB maka semakin sedikit individu yang rentan saat keadaan stabil dan semakin cepat menghilangnya penyakit campak
Mengatasi Error Berkorelasi Menggunakan Metode Transformasi Prewhitening pada Regresi Nonparametrik Kernel Bivariat Nurasiah Amini; Mustika Hadijati; Qurratul Aini
Eigen Mathematics Journal Vol. 2 No. 2 Desember 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v1i2.42

Abstract

Suppose that given ???? data {(????1????, ????2????, ????????)}???? with nonparametric regression model :????=1????????  = ????(????1????, ????2????) + ???????? ; ???? = 1,2, ⋯ , ????with ????(????????) is a regression function and ???????? is a random errors. In nonparametric regression often found correlated errors, i.e. the error value does not meet the identical and independent assumptions. Correlated errors will adversely affect the estimation model. Correlated errors can be resolved by prewhitening transformation method, a method where the error is assumed to follow the model ARMA (????, ????). Applied on data is shown that regression model was obtained with correlated errors. The error obtained from the conventional Kernel regression model follows the AR(1) model with the value ∅1= 0.932. After the prewhitening transformation, the kernel regression model results from the prewhitening transformation with uncorrelated errors. The MSE value of the conventional Kernel estimation modal is 639203.308 smaller than the MSE value of the estimated Kernel prewhitening transformation model that is 290303.832, so the Kernel estimator resulting from prewhitening transformation is more efficient than conventional Kernel estimator.
Pengaruh Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga Terhadap Indeks Harga Saham Gabungan Dengan Vector Error Correction Ni Luh Putu Dewi Wikayanti; Qurratul Aini; Nurul Fitriyani
Eigen Mathematics Journal Vol. 3 No. 1 Juni 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i1.58

Abstract

Pergerakan Indeks Harga Saham Gabungan (IHSG) dipengaruhi oleh situasi politik dan perekomian global, serta adanya faktor seperti Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga, yang apabila melemah dapat mengakibatkan perekonomian terguncang. Penelitian ini bertujuan mengkonstruksi model Vector Error Correction Model (VECM) yang merupakan pengembangan model Vector Autoregressive pada runtun waktu yang tidak stasioner dan memiliki hubungan kointegrasi. Selain itu, penelitian ini bertujuan untuk menganalisis hubungan jangka panjang maupun jangka pendek antara faktor-faktor yang mempengaruhi IHSG yaitu Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga serta menentukan hasil peramalan IHSG berdasarkan faktor yang mempengaruhinya. Model VECM yang diperoleh yaitu VECM(2), yang menunjukkan bahwa perubahan variabel Kurs Dolar Amerika Serikat memiliki pengaruh positif terhadap IHSG, sedangkan Inflasi dan Tingkat Suku Bunga memberikan pengaruh negatif terhadap perubahan IHSG. Hal ini berlaku untuk pengaruh jangka panjang maupun jangka pendek. Hasil peramalan diperoleh dengan menggunakan VECM(2) pada bulan Juli dan Agustus 2019 yaitu sebesar 6424,68 dan 6488,88 dengan nilai MAPE sebesar 1,534%. Nilai MAPE menunjukkan bahwa hasil peramalan dengan model VECM(2) memberikan hasil yang sangat baik.
Pengembangan Motif Batik Sasambo dengan Sistem Lindenmayer Subaiah Marlina; Qurratul Aini; I Wayan Sudiarta
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.77

Abstract

Batik is an Indonesian intangible cultural heritage that needs to be preserved. Indonesia has a variety of batik patterns such as Sasambo (Sasak, Samawa, and Mbojo) batik patterns from West Nusa Tenggara. This study aims to develop Sasambo batik patterns by using the Lindenmayer System (L-System). The Sasambo batik patterns developed in this study are of two types: Lumbung (rice barn) and Kangkung (water spinach) patterns. By applying the L-System, there are three different ways that can be done, namely (1) making the Sasambo batik patterns as axioms, (2) making the batik patterns as generators, and (3) combining the Sasambo patterns with fractals. Based on the new patterns produced using the L-System, the selection of generators should have the initial and final segments which are both in a single line position, so that the original patterns unchanged.
Fuzzy Metric Space and Its Topological Properties Masriani Masriani; Qurratul Aini; Syamsul Bahri
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.95

Abstract

The fuzzy set theory is mathematics that applies fuzziness characteristics, so that gives the truth value at interval [0,1]. It is different from the crisp set that gives a truth value of 0 if it is not a member and 1 if it is a member. The theory of fuzzy sets has been developed continuously by scientists. One of the developments of the fuzzy set is the fuzzy metric space which the definition was introduced by George and Veeramani. Based on the analysis results, it is found that every metric space X if and only if X is fuzzy metric space. As a result, the topological properties of the metric space still apply to the fuzzy metric space
Pipeline Network Optimization using Hybrid Algorithm between Simulated Annealing and Genetic Algorithms Parizal Hidayatullah; Irwansyah Irwansyah; Qurratul Aini; Bulqis Nebula Syechah
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.100

Abstract

The pipeline network is one of the most complex optimization problems consisting of several elements: reservoirs, pipes, valves, etc. The pipeline network is designed to deliver water to consumers by considering the demand and adequate pressure on the water pipe network. The main problem in designing reliable pipelines is the cost. The amount of cost that most influences the design of pipelines is the diameter of the pipe used. Therefore, this study aims to combine (hybrid) simulated annealing algorithm with genetic algorithm to optimize water pipe networks. The simulated annealing algorithm is the main algorithm in finding the optimal cost.Meanwhile, the genetic algorithm will assist in the pipeline update process using the roulette wheel selection. Simulation data is used to test the hybrid algorithm performance compared to the standard simulated annealing algorithm. The results show that the simulated annealing hybrid algorithm is able to get a more optimal cost in designing a water pipe network compared to the standard simulated annealing algorithm. Keywords: Optimization, Epanet 2.0, Simulated Annealing, and Genetic Algorithm
The Intersection Graph of a Dihedral Group Nurhabibah Nurhabibah; Abdul Gazir Syarifudin; I Gede Adhitya Wisnu Wardhana; Qurratul Aini
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.119

Abstract

The intersection graph of a finite group G is a graph (V,E) where V is a set of all non-trivial subgroups of G and E is a set of edges where two distinct subgroups H_i , H_j  are said to be adjacent if and only if H_i \cap H_j \neq {e} . This study discusses the intersection graph of a dihedral group D_{2n} specifically the subgraph, degree of vertices, radius, diameter, girth, and domination number. From this study, we obtained that if n=p^2 then the intersection graph of D_{2n} is containing complete subgraph K_{p+2} and \gamma(\Gamma_{D_{2n}})=p. 
Prime submodul of an integer over itself Muhammad Rijal Alfian; Fariz Maulana; Ni Wayan Switrayni; Qurratul Aini; Dwi Noorma Putri; I Gede Adhitya Wisnu Wardhana
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.132

Abstract

One of the sciences used in digital security systems is cryptography. Cryptography is closely related to the integer system, especially prime numbers. Prime numbers themselves have been abstracted a lot. One form of abstraction of prime numbers is the prime ideal. Previous studies have proven that an Ideal  is said to be a prime ideal on  if and only if I is constructed by a prime element. Other studies have also shown how the prime ideal develops. One of them is the research result of Dauns, where the prime ideal form is developed in the form of a prime submodule. A prime submodule is one of the objects in the module, which is an abstraction of prime numbers. Based on these things, it is exciting if the properties of the prime submodule are applied to other module forms, one of which is the integer module.
Co-Authors . MUARDI A. Hamdani Abdul Gazir Syarifudin Abdul Hadi ABDURRAHMAN WAHID Adinda Nindia Candra Putri Amirullah Amelia Afitri Ananda Yulia Mayasari Azis Asnaini Asnaini Ayes Malona Siboro Azfa Aenurrohman Baiq Devi Rachmawati cahya Dhany Safandi Dian Herdiana Dina Eka Putri Dwi Noorma Putri Era Pazira Evi Yuniartika Asmarani Faiz Muazirul Haq Febria Ningsih Fitriatul Hanisa Futri Ramadhani Gusman Lesmana Hafidhul Umami Hazanul Fuady Henny Marlina Heri Safriadi Hijrah I Gede Adhitya Wisnu Wardhana I Wayan Sudiarta INDRA YOVI Ira Damayanti Irval Huzairi Irwansyah Irwansyah Junaidi Junaidi Jurnal Pepadu Khanifatul Mardliyah lailia Awalushaumi Lailia Awalushaumi Lalu Hasan Ghoffari Lalu Riski Wirendra Putra Luluk Fauziyah Januarti M.Hasbi Marliadi Susanto Maryam, Ridha Dewi Masriani Masriani Maulana, Fariz Mawardi Moh Ma'ruf Moh. Syafi’i Idrus Muhamad Yahya Muhammad Azka Lababan Muhammad Farhan Muhammad Ibnu Andika Muhammad Maimunun Mubarok Muhammad Naoval Husni Muhammad Rijal Alfian Muhammad Yulis Hamidy Mustawa Mustika Hadijati MUTMAINNAH , Mutmainnah Mutmainnah Naila Dwi Salsabila Nazwa Zahara Ni Luh Putu Dewi Wikayanti Ni Wayan Switrayni Nisrina Fathin Nur Asmita Purnamasari Nur Diana Nurasiah Amini Nurhabibah Nurhabibah Nurul Fitriyani Nurul Mauidhotul Hasanah Nuzla Af'idatur Robbaniyyah Parizal Hidayatullah Qorri Asyifah Quratul A’yun Qurrotul Ainiyah Ridaaul Ummah Ridwal Trisoni Riskan Fauzy Rizal Afandi Rizki Maulana Rusindiyanto Ryan Dwipa S. Fathiyatul Jannah Sahrul Mubarok Salwa Salwa Salwa Salwa Salwa Salwa Salwa Salwa Sri Lestari Subaiah Marlina Syamsul Bahri Syofiarti Tsamratul Jannah Uci Faradilla Zaehol Fatah Zahratul Isnaini Zata Yumni Awanis Zata Yumni Awanis Zata Yumni Awaris Zulhan Widya Baskara