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0651-1005-01 | Statistics for PPEL | ||||||||||||||||||||||||||||||||||||||||
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FACULTY OF HUMANITIES | |||||||||||||||||||||||||||||||||||||||||
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Probability and statistics as models for the description of random phenomena. Basic concepts in probability: Sample space, events, probability function, combinatorial analysis, conditional probability, total probabilities formulae, Bayes theorem, and independence. Random variables: Discrete random variable and probability function, continuous random variable and density function, cumulative distribution function, expectation and variance. Two-dimensional random variables. Central limit theorem, normal approximation to binomial. Statistical inference: Sampling. Estimation, maximum likelihood estimation. Confidence intervals for the mean, proportion, and mead difference. Tests of hypothesis, Neyman–Pearson lemma, errors in inference and power. Correlation and regression