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)
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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