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Solve for parameters of a truncated normal distribution
- To: mathgroup at smc.vnet.net
- Subject: [mg122903] Solve for parameters of a truncated normal distribution
- From: paul <paulvonhippel at yahoo.com>
- Date: Tue, 15 Nov 2011 05:50:44 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
I'm trying to solve the following problem:
X = TruncatedDistribution[{0, \[Infinity]},
NormalDistribution[\[Mu], \[Sigma]]]
Solve[Mean[X] == 1 && Variance[X] == 1, {\[Mu], \[Sigma]}, Reals]
I get an error message: "This system cannot be solved with the methods
available to Solve." It doesn't help if I replace Solve with NSolve.
In case I've made a mistake in defining the problem, I should say that
I'm looking for the parameters of a normal distribution so that, if
the normal is truncated on the left at zero, the result will be a
truncated distribution whose mean and variance are both 1. It seems to
me Mathematica should be able to solve this, at least numerically.
Many thanks for any suggestions.
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