a probability distribution function which models a given physical variable is usually defined 0<=x<=infinity.
as an example the exponential , the gamma ,the lognormal, the pareto and Weibull pdfs are defined in such interval, we now briefly review the status of the research on the truncated gamma distribution .
a first attempt to deduce the biased estimate of the reliability function associated with the tg distribution which is right truncation , estimated the parameters of a tg distribution over 0<=x<=t, adopting the maximum likelihood estimator ,studied the properties of tg distribution and derived the simulation algorithms which dominate the standard algorithms foe these distribution , considered a doubly-truncated gamma random variable restricted by both a lower and upper truncation
on adopting an astronomical point of view the left truncation is connected with the minimum mass of the star , ~0.02m and the right truncation with the maximum mass of the star,~60m,this paper first review the gamma pdf ,introduction the right and left truncated gamma pdf and finally analyzes two sample of the star and brown dwarfs
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