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All Journal Mathematics and Applications (MAp) Journal Jurnal Hasi Penelitian Dan Pengkajian Ilmiah Eksakta - JPPIE
Syahrul, Maya Sari
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Journal : Mathematics and Applications (MAp) Journal

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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.
Co-Authors Agusta, Vira Putri, Nurweni Rina, Iswan Rosi Ramayanti