Dersin Bilgileri

Dersin Adı	Türkçe	Veri Bilimleri için Olasılık ve İstatistik
	İngilizce	Probability and Statistics for Data Science
Dersin Kodu	YZV 231	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	4	4	-	-	-
Dersin Dili		İngilizce
Dersin Koordinatörü		Gözde Ünal Abdullah Akgül
Dersin Amaçları		Olasılık ve İstatistiğin temellerinin kavranması. Olasılık Kuramı, Rastgele değişkenler, Sürekli ve Ayrık Rastgele Değişkenler, Dağılımlar, Limit Teoremleri, İstatistiksel Analiz, Uygulamalar.
Dersin Tanımı		Probability and Statistics.
Dersin Çıktıları		1. Define laws and axioms of probability and be able to work with set theoretical rules of events and probabilities and concept of independence 2. Construct probabilities and conditional probabilities; use them in Bayes law to model simple real life problems 3. Know and utilize random variables (r.v.s), important standard models of probability density functions (pdfs) and cumulative density functions in both continuous and discrete space 4. Express multiple r.v.s with joint pdfs, relating to marginal pdfs and conditional pdfs, as well as to concepts of independence and correlatedness 5. Estimate means, variances, covariances, moments of random variables and random vectors 6. Calculate best predictors in minimum mean squared sense both for linear and nonlinear pre- dictors 7. Know the meaning and implications of limit theorems : Law of large numbers and Central limit theorem 8. Define and Utilize Basic Bayesian Statistical Inference Techniques and Classical Statistical Inference Techniques including Hypothesis Testing, Parameter Estimation, Linear Regression and Significance Testing. 9. Implement the above concepts in a programming environment (PYTHON)
Önkoşullar		Python Programming
Gereken Olanaklar		Bilgisayar
Diğer
Ders Kitabı		Introduction to Probability. 2nd Ed. By D. P. Bertsekas and J.N. Tsitsiklis. Athena Scientific, 2008.
Diğer Referanslar		Intuitive Probability and Random Processes using MATLAB. By Kay, Steven, Springer 2012. (available in the University Library)

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