Uniform
Spreading mass uniformly over an interval [a,b]. f(x | a,b) = 1/(a-b) if x is in [a,b]. 0 o.w
EX = (b+a)/2
VARX = (b-a)^2 / 12
Gamma
In gamma function, the parameter a is known as the shape paramter since it most influences the peakedness of the distribution while B is called the scale parameter since most of its influence is on the spread of the distribution.
EX = aB
VarX = aB^2
Gamma and Poisson relationship
X~Gamma (a,b) where a is an integer; Y~ Poisson(x/b), then
P(X <= x) = P (Y >= a)
Gamma and Chi Squared relationship
X ~ Gamma (p/2, 2) and Y ~ Chi (p)
pdf of X = pdf of Y and the mean, variance and mgf of the chi squared distribution can be calculated by using the gamma formulas.
Gamma and Exponential relationship
X~ Gamma (1, b) and Y ~ Exp (b)
pdf of X = pdf of Y
Exponential distribution can be used to model lifetimes and it’s analogous to the use of Geometric distribution in the discrete dist.
Weibull and Exponential
X ~ Exp (b) , then Y = X ^ (1/gam) ~ Weibull (gam, b)
Useful in the analysis of failure time data or for modeling hazard function
Normal (or Gaussian)
X ~ N(mu, sigma ^2), (X-mu)/sigma ~ N(0, 1) <- Standard Normal

사랑하는 사람들을 보며 아 저것이 사랑이란걸 느낀다. 져스틴이 나에게 하는것을 보고 난 그것이 사랑이구나라 느낀다. 사랑은 사람들이 갖는 너무나 많은 감정을 한단어로 generalized 하는것같아, 사실 난 사랑이란 단어를 별로 좋아하지안는다. 하지만 너무 desperately 내맘을 표현하고싶을때 그만큼의 intensity를 표현할수있는 단어는 사랑 밖에 없는것같다. desperate 하게 표현하고싶단말.. 사랑을 해본사람은 알것이다.