Claim Missing Document
Check
Articles

PEMBUKTIAN TEOREMA HUKUM LEMAH BILANGAN BESAR DENGAN MENGGUNAKAN FUNGSI KARAKTERISTIK Suci Sari Wahyuni; Dodi Devianto; Hazmira Yozza
Jurnal Matematika UNAND Vol 2, No 2 (2013)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.2.2.71-75.2013

Abstract

Let Xn be a sequence of random variables which have limited mean andvariance and also Sn = ni=1Xi, then the weak law of large number stated thatSn????E[Sn]n! 0 in probability, other variation of the weak law of large is; if Xn is asequence of random variables that distributed randomly and identically with mean inlimited variance, then Snn! in probability. Some papers proved the weak law by usinganalysis properties of random variable Sn. In this paper the law is is proved by usingcharacteristic function.
METODE PREMIUM SUFFICIENCY DENGAN ASUMSI BALDUCCI UNTUK MENENTUKAN CADANGAN ASURANSI JIWA GABUNGAN UMMU BUTSAINATUL EL KHAIR; DODI DEVIANTO; HAZMIRA YOZZA
Jurnal Matematika UNAND Vol 8, No 4 (2019)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.8.4.69-76.2019

Abstract

Asuransi jiwa dwiguna gabungan adalah asuransi jiwa yang memberikan perlindungan dalam maupun saat berakhirnya masa pertanggungan kepada dua atau lebih tertangung yang mengikuti polis asuransi. Tertanggung memiliki kewajiban untuk membayarkan premi yang akan disimpan perusahaan asuransi sebagai cadangan yang nantinya digunakan untuk membayarkan klaim ketika terjadi risiko. Cadangan dapat dihitung dengan premi kotor, dengan memasukkan biaya manajemen perusahaan. Salah satu metode perhitungannya, yaitu Metode Premium Sufficiency. Besarnya cadangan dipengaruhi oleh banyak orang yang hidup pada usia tertentu, sehingga penentuan besar cadangan akan menggunakan asumsi mengenai sebaran banyak orang yang hidup pada beberapa tahun kemudian. Salah satu asumsi yang akan digunakan adalah dengan asumsi Balducci. Pada penelitian ini terlihat perhitungan cadangan asuransi jiwa dwiguna gabungan menggunakan metode Premium Sufficiency dengan asumsi Balducci memberikan hasil cenderung lebih besar dibandingkan tanpa asumsi Balducci. Diterima: Direvisi: Dipublikasikan :Kata Kunci: Asuransi Jiwa Dwiguna, Metode Premium Suficiency, Asumsi Balducci
ANALISIS FAKTOR RISIKO ANGKA KEMATIAN IBU DENGAN PENDEKATAN REGRESI POISSON Putri Riza Chaniago; Dodi Devianto; Izzati Rahmi HG
Jurnal Matematika UNAND Vol 7, No 2 (2018)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.7.2.126-131.2018

Abstract

Abstrak. Kasus kematian ibu adalah kasus kematian perempuan pada saat hamil ataukematian perempuan dalam kurun waktu 42 hari sejak terminasi kehamilan. Pada tahun2014 Indonesia belum mampu mencapai target MDGs yaitu penurunan kematian ibu.Kasus jumlah kematian ibu termasuk peristiwa yang dikategorikan kedalam variabeldiskrit dan berdistribusi poisson oleh karena itu penelitian tentang jumlah kematianibu dapat dilakukan dengan pendekatan regenerasi Poisson. Pada penelitian ini vari-abel prediktor yang signikan pada model regresi poisson untuk variabel respon angkakematian ibu adalah rasio jumlah puskesmas.Kata Kunci: Angka Kematian Ibu, MGDs, Poisson, Regresi Poisson
Analisis Daya Tekan dan Daya Serap Pada Batako Menggunakan Pendekatan Grey Relational Analysis dan Principal Component Analysis Shinta Yuliana; Ferra Yanuar; Dodi Devianto
Jurnal Elektro dan Mesin Terapan Vol. 8 No. 2 (2022): Jurnal Elektro dan Mesin Terapan (ELEMENTER)
Publisher : Politeknik Caltex Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.291 KB)

Abstract

Pembangunan konstruksi gedung dan perumahan di kota-kota besar berkembang sangat pesat. Hal ini mengakibatkan kebutuhan bahan bangunan juga meningkat dengan pesat. Salah satu bahan bangunan yang sering digunakan dalam konstruksi gedung dan perumahan adalah batako. Batako merupakan bahan bagunan berupa bata cetak alternatif pengganti batu bata yang tersusun dari kapur, pasir dan air. Dalam penelitian ini digunakan desain eksperimen metode Taguchi dengan 5 faktor dan masing-masing terdiri dari 2 level. Penelitian ini mempunyai dua variabel respon yaitu daya tekan dan daya serap dan data di analisis menggunakan pendekatan Grey Relational Analysis dan Principal Component Analysis. Hasil penelitian menunjukkan bahwa faktor-faktor yang mempengaruhi karakteristik kualitas batako adalah lama pengeringan. Sedangkan rancangan kombinasi optimal yang diusulkan berdasarkan hasil penelitian dengan faktor dan level terpilih yaitu A1 (Lama adukan 6 Menit), B2 (Tekanan 120 Kg/cm2), C2 (Air 0.14 Liter), D1 (Lama pengeringan 4 hari), dan E2 (Komposisi antara kapur dan pasir yaitu 0.25:1.85).
PENGGUNAAN METODE SIMULASI QUASI MONTE CARLO DENGAN BARISAN QUASI ACAK VAN DER COURPUT DALAM MENENTUKAN HARGA OPSI EROPA Lita Wulandari Aeli; Dodi Devianto; Hazmira Yozza
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 3, No 2 (2022): July
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v3i22022p33-40

Abstract

An option is a right by a person or institution to sell or buy an investment instrument at a certain price for a certain period. The point of view for way an option is exercised, there are two types of options known today, namely European options and American options. European options are characterized by option contracts that can only be exercised at the expiration date of the option. American options are indicated by option contracts that can be exercised at any time within the validity of the option contract. There are several methods that can be used in determining option prices, including the Black Scholes method which can be used to calculate the standard price of options. Monte Carlo simulation is a method that gives all possible values of a variable using the average as an estimator of its exact value. Quasi Monte Carlo simulation is an alternative to Monte Carlo simulation which uses quasi-random sequences instead of random numbers. In this article, the quasi-random sequence used is Van der Courput. Calculate option prices with Monte Carlo simulation and Quasi Monte Carlo simulation using MATLAB.
A Hidden Markov Model for Forecasting Rainfall Data Availability at the Weather Station in West Sumatra Rahmawati Ramadhan; Dodi Devianto
Science and Technology Indonesia Vol. 5 No. 2 (2020): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1051.115 KB) | DOI: 10.26554/sti.2020.5.2.34-40

Abstract

Indonesia is a maritime continent in Southeast Asian, laying between Indian Ocean and Pacific Ocean. This position intensely affects the level of rainfall in Indonesia, especially West Sumatra. The availability of rainfall data can form a Markov chain which its state is not able to be observed directly (hidden), is called the Hidden Markov Model (HMM). The purposes of this research are to predict the hidden state of the availability of rainfall data using decoding problems and to find the best state sequence (optimal) by using Viterbi Algorithm, and also to predict probability for the availability of rainfall data in the future by using the Baum Welch Algorithm in the Hidden Markov Model. This research uses secondary data with a period of one day from the availability of rainfall data at the Minangkabau Meteorological Station, Padang Pariaman Climatology Station, and Silaing Bawah Geophysics Station from January 2018 to July 2019. The results of the prediction show that the Hidden Markov Model can be used to predict the probability of rainfall data availability. The results for the availability of the highest rainfall data for one day ahead is at the Padang Pariaman Climatology Station, with a probability of 0.36, followed by Minangkabau Meteorological Station is 0.35, and Silaing Bawah Geophysics station is 0.29. The result has shown for the next one day period the probability of rainfall data available from the three stations will be available following the Viterbi algorithm.
Cement Compressive Strength Control Using CUSUM and MCUSUM Control Chart Surya Puspita Sari; Ferra Yanuar; Dodi Devianto
Science and Technology Indonesia Vol. 5 No. 2 (2020): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1283.865 KB) | DOI: 10.26554/sti.2020.5.2.45-52

Abstract

Compressive strength is one of the test factors used to determine whether cement production is in a controlled state or not. Portland type composite cement or PCC is the cement that is widely used in infrastructure development. The Cement of 3-days compressive strength, 7-days compressive strength, and 28-days compressive strength are the variables that will be controlled in this study. The normal distribution test and correlation test show that the data on each variable is normally distributed, and each variable has a strong correlation. Univariate cement control using the cumulative sum control chart (CUSUM) and multivariate control using a multivariate cumulative sum (MCUSUM) control chart is performed to obtain the best control results. Correlated variables show that control using a multivariate control chart results in fewer outs of control observations compared to a univariate control chart. This explains that the MCUSUM control chart is more sensitive than the CUSUM control chart in controlling observations of data out of control.
The Comparison of WLS and DWLS Estimation Methods in SEM to Construct Health Behavior Model Ferra Yanuar; Fadilla Nisa Uttaqi; Aidinil Zetra; Izzati Rahmi; Dodi Devianto
Science and Technology Indonesia Vol. 7 No. 2 (2022): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (536.173 KB) | DOI: 10.26554/sti.2022.7.2.164-169

Abstract

It is unknown how reliable various point estimates, standard errors, and standard several test statistics are for standardized SEM parameters when categorical data used or misspecified models are present. This paper discusses the comparison between WLS and DWLS for examining hypothesized relations among ordinal variables. In SEM, the polychoric correlation is employed either in WLS or DWLS. This study constructs the Health behavior model as an endogenous latent variable in which exogenous latent variables are Perceived susceptibility and Health motivation. All indicators are in categorical types. Thus, data are not multivariate normal, or the model could be misspecified. This study compares the values of standard deviation and coefficient determination to determine a better model. The criteria for the goodness of fit for the overall model are based on RMSEA, CFI, and TLI values. This present study found that the WLS estimator method resulted in better values than DWLS’s.
PEMODELAN MARKOV SWITCHING AUTOREGRESSIVE (MSAR) PADA INFLASI DKI JAKARTA Farhah Anggana; Dodi Devianto; Ferra Yanuar
Jurnal Matematika UNAND Vol 12, No 1 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.1.35-45.2023

Abstract

Inflasi merupakan salah satu indikator penting dalam menganalisisperekonomian sebuah negara. Tingkat inflasi dapat dikendalikan dengan menetapkan target inflasi, namun pada kenyataannya volatilitas di dalam sektor finansial sangat sensitif terhadap perubahan-perubahan, sehingga diperlukan metode yang sesuai dalam menganalisisnya. Pemodelan yang dapat menjelaskan perubahan-perubahan tersebut salah satunya yaitu Model Markov Switching Autoregressive (MSAR). Oleh karena itu, pada penelitian ini dalam menentukan model terbaik untuk data inflasi DKI Jakarta, menentukan besar peluang perpindahan dan bertahannya suatu state, serta besarnya dugaan durasi masing-masing state menggunakan metode MSAR. Pada inflasi DKI Jakarta dimisalkan terjadi 2 state (peningkatan dan penurunan) dan 3 state (peningkatan, stabil, dan penurunan). Diperoleh bahwa model terbaik yaitu MS(2)AR(1) dengan peluang bertahan pada state peningkatan adalah 0,729880, peluang transisi peningkatan ke penurunan adalah 0,270120, sedangkan peluang bertahan pada state penurunan adalah 0,732562, peluang transisi penurunan ke peningkatan adalah 0,267438. Dugaan durasi yang diperoleh pada peningkatan 3,702058 bulan dan durasi pada penurunan 3,200829 bulan.
Peningkatan Minat dan Motivasi Santri Pesantren Al-‘Ashry dalam Pembelajaran Matematika dengan Teka-Teki Matematika Persegi Ajaib Hazmira Yozza; Izzati Rahmi HG; Budi Rudianto; Admi Nazra; Noverina Alfiany; Deswelyyanti Deswelyyanti; Ferra Yanuar; Dodi Devianto
Warta Pengabdian Andalas Vol 30 No 1 (2023)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jwa.30.1.52-59.2023

Abstract

Mathematics is one of the most essential basic sciences because it closely relates to everyday life and the development of other disciplines. It should be taught at every education level, likewise for Islamic boarding school students. In addition to having extensive religious knowledge, students must also have increased thinking, logic and reasoning. In addition, mathematics is also an essential tool in studying several topics of Islamic law, such as inheritance law and zakat. Therefore, mathematics must be taught in the education and teaching curriculum at the Islamic boarding school, including the As-'Ashry Islamic Boarding School. One of the obstacles the Al-'Ashry Islamic boarding school faces in teaching mathematics is that students need more interest and motivation in learning mathematics. Therefore, this community service activity was carried out to increase the interest and motivation of students to learn mathematics. The activity was held on December 7, 2022. The activity was carried out in two forms: a motivational lecture and a math puzzle called Magic Square. Based on the evaluation carried out by the community service team, it was evident that the students were interested in the activities carried out. Students were fully involved in every activity carried out.
Co-Authors Abdi Mulya Acnesya, Vivin Admi Nazra Afnanda, Afridho Afrimayani Afrimayani Ainul Mardhiyah, Ainul Almuhayar, Mawanda Amalia Dwi Putri AMALIA DWI PUTRI ANNISA RAHMADIAH Arfarani Rosalindari ARNEZDA PUTRI Arrival Rince Putri Asdi, Yudiantri Astari Rahmadita Aulia Safitri Bahri, Susila Baqi, Ahmad Iqbal Boby Canigia Bukti Ginting Cesa Febri Desti Cichi Chelchillya Candra Cichi Chelchillya Candra Cindyana Aldrifisia Cintya Mukti Citra Ariadini Chairunnisa Claudia Putri Zoelanda Darvi Mailisa Putri Defriman Djafri Delvia Alhusna Des Welyyanti Desi Susanti Dina Monica DIRAMADHONA MUTIASALISA Efendi Efendi Eka Rahmi Kahar Elfa Rafulta Elfindri, Elfindri Elisa Sri Hastuti Elsa Wahyuni Elvi Yati Ermanely Ermanely Fadila Aulia Fadila Rasyid Fadilla Nisa Uttaqi Fajriyah, Rahmatika Faldo Aditya Farhah Anggana Fery Murtiningrum Fery Murtiningrum, Fery Finti Warni FITARI RESMALANI FITRI SABRINA Fitria Sarah Ginting, Yanti Mayasari Gusmanely Z Hafiz Rahman HANDIKA WAHYU VIKRANTHA Hasibuan, Lilis Harianti Hazmira Yozza Herliani Evinda Husnul Fikri Ihsan Kamal Ikhlas Pratama Sandi Irfan Suliansyah Istiqamah . Iswahyuli . Izzati Rahmi HG Jatu Visitasari Jayanti Herli Kamarni, Neng Khatimah, Havifah Husnatul Kiki Ramadani Lana Fauziah Lathifah Yulyanisa Lily Zuhrat Lita Wulandari Aeli Livia Amanda LOLANDA SYAMDENA M. Pio Hidayatullah M. Rizki Oktavian Maisan Nusa Putri Maiyastri Maiyastri, Maiyastri Majbur, Ridha Fauza maMaiyastri Maiyastri Mardha Tillah Maulini Septya Mawanda Almuhayar Mayastri Mayastri Melinda Noer Melisa Febriyana MUHAMMAD HAFANDRY Muhammad Iqbal Muhammad Qolbi Shobri Muhammad Ridho Muharisa, Catrin Mutia Yollanda Nadia Husna Nadya Risna Putri Narwen Narwen NASTHASYA, NOVALISA Nisa, Alvi Khairin Nova Noliza Bakar NOVALISA NASTHASYA Noverina Alfiany Nursyirwan Effendi, Nursyirwan NURUL AISHAH Nurwijayanti Olivia Prima Dini Partini Partini Partini Partini, Partini Puteri Bulqis Azhari Putri Permathasari Putri Permathasari Putri Putri Putri Riza Chaniago Radhiatul Husna Rahma Diana Safitri Rahmawati Ramadhan RAHMI HG, IZZATI Ramadhani, Eza Syafri Ramadhani, Nia Rasyid, Fadila Religea Reza Putri Riau, Ninda Permata Ridhatul Ilahi Ridho Pascal Willmar Ridho Saputra, Ridho Rini Elvira Riri Lestari Risma Yulia Rosi Ramayanti Rudiyanto Rudiyanto, Rudiyanto SAIDAH . Sani, Ridha Fadhila Saputri, Ovi Delviyanti SARAH SARAH Sarmada Sarmada Sarmada, Sarmada Selfinia, Selfinia SHINTA YULIANA Siska Dwi Kumala Sri Meiyenti Sri Wahyuni Sri Wahyuni Suci Sari Wahyuni SUMINDANG YUZAN Surya Puspita Sari Surya Puspita Sari, Surya Puspita Syauqi, Irfan Tasya Abrari Tessy Oktavia Mukhti Tiara Shofi Edriani Tomi Desra Yuliandi ULLYA IZZATY UMMU BUTSAINATUL EL KHAIR Uqwatul Alma Wisza Uswatul Hasanah Vira Agusta Wikasanti Dwi Rahayu William Huda Willmar, Ridho Pascal WULANDARI, FRILIANDA Yanuar, Ferra Yaswirman, Yaswirman Yosika Putri Yurinanda, Sherli Zetra, Aidinil Zuardin, Aulia Zul Ahmad Ersyad Zulakmal, Zulakmal