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How do you obtain the moment generating function of a Poisson distribution?
Using the Taylor series expansion of the exponential function. See related links
What is lambda in statistics?
Lamdba (like most Greek letters in statistics) usually denotes a parameter of a distribution (usually of Poisson, gamma or exponential distributions). This will specify the entire distribution and allow for numerical analysis of the probability generating, moment generating, probability density/mass, distribution and/or cumulant functions (along with all moments), as and where these are defined.
IF two variables that have the same mean and standard deviation have the same distribution?
No, a distribution can have infinitely many moments: the first is the mean, the second variance. Then there are skewness (3), kurtosis (4), hyperskewness (5), hyperflatness (6) and so on.If mk represents the kth moment, thenmk = E[(X - m1)k] where E is the expected value.It is, therefore, perfectly possible for m1 and m2 to be the same but for the distribution to differ at the higher moments.
What does instataneous mean?
You mean instantaneous - means happening or completed in a moment, with no delay, immediate
The Pearson product-moment correlation coefficient r requires that variables are measured with?
Either an Interval or an Ordinal Scale
