KRYSICKI RACHUNEK PRAWDOPODOBIESTWA I STATYSTYKA MATEMATYCZNA PDF

Distributions and their Characteristics. The law of large numbers. Central limit theorems. Samples and statistical models, Elements of discriptive statistics.

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Distributions and their Characteristics. The law of large numbers. Central limit theorems. Samples and statistical models, Elements of discriptive statistics.

Characteristic and generating functions. Basic statistics and their distributions. Parametric and nonparametric models. Estimators and their properties. Point estimators and the risk function. Interval estimators. The asymptotic properties. Hypothesis testing. Methods of tests constructions Tests in parametric models. Some examples Tests in nonparametric models.

Some examples. Power curve of a statistical test. Likelihood ratio tests. Elements of the Bayesian approach. Egzamin pisemny. Spis zalecanych lektur recommended reading W. Krysicki, J. Bartos, W. Dyczka, K. Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes.

This course is related to the following study programmes:. Additional information registration calendar, class conductors, localization and schedules of classes , might be available in the USOSweb system:. Organized by: Faculty of Mathematics and Natural Sciences. School of Exact Sciences. Related to study programmes: Mathematics - part-time first-cycle studies Mathematics - full-time first-cycle studies. This course is related to the following study programmes: Mathematics - part-time first-cycle studies Mathematics - full-time first-cycle studies Additional information registration calendar, class conductors, localization and schedules of classes , might be available in the USOSweb system: Description of WM-MA-S in USOSweb.

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The module covers issues related to the theory of probability and mathematical statistics. Events and the probability of random events. Probability space. Definitions and properties of probability. The classical definition of probability.

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