Is this a student exercise? If not, please enlighten us as to the real-world problem from which this is extracted.
Given that 50% of the probability mass lies between 38 and 40, and the median and 3rd quartile are both 40, this cannot be a continuous distribution. I would design a discrete distribution on the integers 1, ..., 99 to meet your requirements: that is `just' a constrained non-linear optimization problem. BTW, a random variable cannot have those characteristics: its distribution could, or a sample could and it is unclear which you mean. The first is easier and so that's what I have assumed. On Wed, 29 Oct 2003, nmi13 wrote: > I am trying to generate a random variable with the following descriptive > statistics, > > min=1, max=99, variance=125, mean=38.32, 1st quartile=38, median=40, 3rd > quartile=40, skewness=-0.274. > > I tried with rgamma and as I cannot use rnorm, can any one please suggest me > what distribution would give me the negative skewness. I need to have the > above mentioned descriptive statistics for the data generated. > > I would be thankful to anyone who can help me with this problem. -- Brian D. Ripley, [EMAIL PROTECTED] Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/ University of Oxford, Tel: +44 1865 272861 (self) 1 South Parks Road, +44 1865 272866 (PA) Oxford OX1 3TG, UK Fax: +44 1865 272595 ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-help
