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How do you derive the mean deviation about the mean of the pareto type 1 distributions?
Easy. The mean deviation about the mean, for any distribution, MUST be 0.
How do you derive Moment generating function of Pareto distribution?
The moment generating function for any real valued probability distribution is the expected value of e^tX provided that the expectation exists.For the Type I Pareto distribution with tail index a, this isa*[-x(m)t)^a*Gamma[-a, -x(m)t)] for t < 0, where x(m) is the scale parameter and represents the least possible positive value of X.
Derive normal distribution as a limiting case of binomial distribution?
ref veeru
Does mode equal median in a normal distribution?
Yes, mode equals median in a normal distribution.
How you get the mode by applying probability distribution?
The mode is the most probable value. Often, you determine the mode by plotting the experimental probability distribution, and finding the peak value. The mode is not necessarily the same as the mean nor the median, unless the distribution is symmetrical.
