How do I get the Euler–Mascheroni constant gamma = 0.57721... in Stata?
| Title |
|
Calculating the Euler–Mascheroni constant |
| Author |
Nicholas J. Cox, Durham University, UK |
| Date |
December 2003; minor revisions January 2006 |
The Euler–Mascheroni constant gamma = 0.57721 ... is one of the most
important constants in mathematics. For some background, see Havil (2003)
and/or Finch (2003, 28–40).
In statistics, gamma arises, for example, in the theory of certain
probability distributions.
In Stata, gamma can be calculated using the function digamma() as
−digamma(1) (note the negative sign). For example,
. di %12.10f −digamma(1)
yields 0.5772156649. See also help
math
functions for details about related functions.
References
- Finch, S. R. 2003. Mathematical Constants.
- Cambridge: Cambridge University Press.
- Havil, J. 2003. Gamma: Exploring Euler's Constant.
- Princeton: Princeton University Press.
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