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  1. 6 dni temu · In mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one or more variables onto a real number intuitively representing some "cost" associated with the event.

  2. 5 dni temu · Making this analogous to our coin toss, we could imagine the payoff for flipping heads as $1, while the payoff for flipping tails is $0.20. Figure 3: Expected Value for Different Payouts. In this scenario the expected value would be: \ (E [x] = 0.5 \times $1 + 0.5 \times $0.2 = $0.60\)

  3. 4 dni temu · In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are often employed for their succinct description of the sequence of probabilities Pr ( X = i) in the ...

  4. 6 dni temu · I’m trying to fit some drift chamber (not perfect cylinder) data value, where I have measurement t_m (drift time measurement), and expectation (\rho_e, \phi_e, \theta_e, Z_e) (4 parameters for a straight line). And I also have a relation that:

  5. 4 dni temu · A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability of seeing that data under different parameter values of the model.

  6. 3 dni temu · The central limit theorem says that the distribution of \( \frac{X_1+X_2+\cdots+X_n}{n}\) for large \(n\) is very close to a normal distribution, with expected value \( \frac13\) and variance \( \frac2{9n}.\)

  7. 2 dni temu · The Chi-square test of independence is a statistical hypothesis test used to determine whether two categorical or nominal variables are likely to be related or not. When can I use the test? You can use the test when you have counts of values for two categorical variables. Can I use the test if I have frequency counts in a table? Yes.

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