BME

22. Exercise Book to "Probability Theory with Simulations"
Téma:	Matematika
Pályázat:	TÁMOP 0064 - BME
Ismertető:	This exercise-book follows the structure of my text-book entitled http://www.math.bme.hu/~vetier/df/index.html Probability Theory with Simulations, containing the usual material taught at probability theory and statistics courses at most universities of the world. The same way, as in the text-book, there are five parts: Probability of events Discrete distributions Continuous distributions in one-dimension Two-dimensional continuous distributions Statistics

Szerzők:	András Vetier

Kulcsszavak:	Poly-hyper-geometrical distribution Polynomial distribution Hyper-geometrical distribution Geometrical problems, uniform distributions Generating a random variable with a given continuous distribution Expected value of discrete distributions Exponential distribution Uniform distribution (discrete) Infinite sequences of events U-tests Generating a random variable with a given discrete distribution Uniform distributions Chi-square-test for fitness Properties of the expected value, variance and standard deviation Median Distribution function Linear regression Poisson-processes The RAND function Higher dimensional discrete random variables and distributions Normal distributions Normal distributions in two-dimensions Moments of a discrete random variable Outcomes and events Beta distributions in two-dimensions Cauchy distribution Beta distributions Distributions derived from normal Independence of events Distributions of some functions of random numbers Conditional relative frequency and conditional probability Density function The table structure of Excel Transformation of discrete distributions Expected value of a function of a continuous random variable Transformation from line to line Discrete random variables and distributions The RANDBETWEEN function Standard deviation, T-tests Independence of random variables Random numbers EN Limit theorems to normal distributions Classical problems Arc-sine distribution Generating a two-dimensional random variable Relative frequency and probability Projections and conditional distributions for discrete distributions Basic properties of probability Simulating an event with the IF function Expected value of continuous distributions F-test for equality of variances (of standard deviations) Binomial distribution Drawing with or without replacement. Permutations Poisson-distribution Continuous random variables Confidence intervals Empirical distribution function Test with ANOVA Two-dimensional random variables and distributions Negative binomial distribution Gamma distribution Combinatorial exercises Sums of random variables. Convolution Regression Mode of a distribution

Szakok:	BSC mérnököknek -> Villamosmérnöki kar -> Informatikus szak BSC mérnököknek -> Villamosmérnöki kar -> Villamosmérnöki szak