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All Journal Journal of Science and Technology Mathematics and Applications (MAp) Journal
Putri, Nurweni
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Computer Science & IT Mathematics

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KETERKAITAN ANTARA KONVERGEN ALMOST SURELY, KONVERGEN DALAM PROBABILITAS, KONVERGEN DALAM MEAN, DAN KONVERGEN DALAM DISTRIBUSI Agusta, Vira; Putri, Nurweni; Syahrul, Maya Sari
MAp (Mathematics and Applications) Journal Vol 1, No 2 (2019)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (470.116 KB) | DOI: 10.15548/map.v1i2.1177

Abstract

Pada penelitian ini mengkaji keterkaitan antara konvergen almost surely, konvergen dalam probabilitas, konvergen dalam mean, dan konvergen dalam distribusi. Jika barisan variabel random  konvergen almost surely ke suatu variabel random X, maka konvergen dalam probabilitas ke variabel random ke X. Jika barisan variabel random  konvergen dalam probabilitas ke variabel random X maka konvergen dalam mean ke  X. Jika barisan variabel random  konvergen dalam probabilitas ke variabel random X maka konvergen dalam distribusi ke X.AbstractIn this research the relations between convergence almost surely, convergence in probability, convergence in mean, and convergence in distribution. If the sequence of random variables  converges almost surely to a random variable X, then it converges in probability to the random variable to X. If the sequence of random variables  converges in probability to a random variable X, then it converges in mean to the random variable to X. If the sequence of random variables  converges in probability to a random variable X, then it converges in the distribution to the random variable to X.
Menentukan Panjang Pipa Terpendek Untuk Pemasangan Jaringan Pipa PDAM Di Kecamatan Padang Timur Kota Padang Rina, Iswan; Putri, Nurweni
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3790

Abstract

This paper will show the completion of PDAM data by determining the shortest pipe length from PDAM data, in other words finding the shortest pipe length from the tree model that is formed. In this PDAM pipe network problem, the distance from each pipe is determined from one area to another. In this study, each PDAM pipe has a different distance between one pipe and another. So with this problem we need a way to determine the shortest pipe length from each PDAM pipe between regions. By determining the length of the shortest pipe so that the shortest distance can be obtained from the use of the pipe. After obtaining the shortest distance, this research will be able to obtain a model in the form of a graph, namely Tree and will look for the shortest pipe length between one area and another for the PDAM pipeline network in the city of Padang. In this case, Padang Timur was chosen as the object of research because of the ineffective use of the PDAM pipe network. The region using the Graph method is expected to be able to determine the shortest pipe length using a pipe network so that it will be more economical and practical to implement.
Co-Authors Agusta, Vira Rina, Iswan Syahrul, Maya Sari