Recent content by lamsung

Thanks for sharing. I used a day to understand the document. It almost solves my question, except, I am quite unsure about the first equation. The equation states that the probability of one event occurs in a short interval (delta t) equals to lambda times delta t. Intuitively, I agree. But I...

So, can I say the following? 1. Poisson distribution is actually a (extreme case of) Binomial distribution. 2. If X ~ Po(lambda), then X ~ B(n, lambda/n) for a large n. 3. Using Poisson distribution but not Binomial distribution is due to efficiency of calculation. In other words, Poisson...

Can anyone derive the p.m.f. of Poisson distribution without mentioning the binomial distribution? The binomial deriving method put lambda = np and finally the binomial p.m.f. become the Poisson one as n goes to infinity. It seems that this is only proving that binomial distribution will...

I saw the below statement which is intuitively correct: If a set has cardinality m then none of its subsets has cardinality greater than m. Is it necessarily true for a infinite set case?

Every equation has a meaning. For example, the area of a square with side x is given by A=x2. Then dA/dx can be computed and is equal to 2x. The expression dA/dx=2x means the instantaneous change of A when x increases from a is 2a. However, what is the meaning of dA=2xdx? dA/dx is not a...