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What is IID error?
Assumption 4 of the four assumption required by the Gauss-Markov theorem states that the error terms of the population are independent and identically distributed (iid) with an expected value of zero and a constant variance . Formally, Note, the error terms refers to the error term of a single observation.
How many sandwiches should you make so that you are 95% sure that there is no shortage?
74 sandwiches
Therefore, if you make 74 sandwiches, you are 95% sure that there is no shortage. Note that you can find the numerical value of Φ−1(0.95) by running the norminv(0.95) command in MATLAB.
What exactly is an uniformly distributed random variable?
An uniformly distributed random variable in a real interval is a variable such that, for any subinterval included in the interval, the probability to find the variable there is proportional to the lenth of the subinterval.
How do I test if two random variables are independent?
You can tell if two random variables are independent by looking at their individual probabilities. If those probabilities don’t change when the events meet, then those variables are independent. Another way of saying this is that if the two variables are correlated, then they are not independent.
How do you calculate the expected value of a random?
For most simple events, you’ll use either the Expected Value formula of a Binomial Random Variable or the Expected Value formula for Multiple Events. The formula for the Expected Value for a binomial random variable is: P(x) * X. X is the number of trials and P(x) is the probability of success.
What is identically distributed (ID)?
In probability theory and statistics, a collection of random variables is independent and identically distributed if each random variable has the same probability distribution as the others and all are mutually independent. This property is usually abbreviated as i.i.d. or iid or IID.
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