First Course in Probability and Statistics

- the notion of probability and its basic arithmetic rules

- the most important discrete and continuous distributions

- expectation, sample mean, and the law of large numbers

- variance, sample variances, and normal approximation

- stochastic dependence and correlation

- description of data using statistics and histograms

- parameter estimation of statistical models

- the concept of a confidence interval

- prior distribution, likelihood function, and posterior distribution

- testing of
Image for course subject

Ajankohta:

Opetusajankohdat:

Päivällä

Paikka:

Espoo

Aihealue:

Matematiikka

Opintojen muoto:

Lähiopetus

Palveluntarjoaja:

Aalto-yliopiston avoin yliopisto

Taso:

Perustaso

Opintopisteet:

5 Aalto-yliopiston opintopisteet (ECTS)

Hinta:

75,00 €

Kurssin kuvaus

After course the student

- can compute probabilities of composite events by applying operations of set theory
- is familiar with the most important discrete and continuous probability distributions and recognizes situations that can modeled with them
- can apply joint distributions to compute statistics of random vectors and to recognize when two random variables are stochastically independent
- knows methods for estimating the parameters of a statistical model
- can compute posterior distributions and make conclusions based on them
- can explain what can and what cannot be concluded from a p-value of chosen statistical test

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