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Journal : Mathematics and Applications (MAp) Journal

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.
CLUSTERING LQ45 INDEXED COMPANIES BASED ON FINANCIAL PERFORMANCE INDICATORS USING THE TWO-STEP CLUSTER METHOD Putri, Nurweni; Wulandari, Wahyuni
MAp (Mathematics and Applications) Journal Vol 5, No 2 (2023)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v5i2.7119

Abstract

The company's financial performance is one of the bases for assessing the company's financial condition which is carried out based on analysis of the company's financial ratios. Financial performance has an influence on the number of investors in a company. Indicators for measuring the company's financial performance include return on assets, return on equity, net profit margin, gross profit margin, operating profit margin, yield, payout, asset growth and company stability. Based on the company's financial performance indicators, company clustering will be carried out. One of the mathematical analysis approaches used to cluster companies based on financial performance indexed by LQ45 is to use the two-step cluster method. This method is the method used because the data variables to be processed are numerical data variables and categorical variables. The company's optimal cluster solution obtained is in the form of 3 optimal clusters. In cluster 1 a cluster of companies was formed which had the largest payout and yield values, in cluster 2 a cluster of companies was formed which had the largest net profit margin, gross profit margin, operating profit margin and cluster 3 was formed a cluster which had return on assets values, largest return on equity. Thus, it can be seen that each cluster has different characteristics.