Saturday, February 17, 2024
Spaces in Math
3:38 AM mayuravaani
Probability Space
Probability Space = Sample Space + Events + Probabilities of events
Metric Space
Vector Space
Eculdien Space
Hilbert Space
Distance Measures
3:07 AM mayuravaani
X = (1,6,2,5,3)
Y = (3,5,2,6,6)
Euclidian distance
distance = 3.87
Manhattan distance
Chebychev distance
Expectation vs average
2:02 AM mayuravaani
Let
Suppose that in a sequence of ten rolls of the die, if the outcomes are 5, 2, 6, 2, 2, 1, 2, 3, 6, 1, then the average (arithmetic mean) of the results is given by
We say that the average value is 3.0, with the distance of 0.5 from the expectation value of 3.5. If we roll the die
Resource: stackoverflow