# An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

@article{Baum1967AnIW, title={An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology}, author={L. Baum and J. Eagon}, journal={Bulletin of the American Mathematical Society}, year={1967}, volume={73}, pages={360-363} }

1. Summary. The object of this note is to prove the theorem below and sketch two applications, one to statistical estimation for (proba-bilistic) functions of Markov processes [l] and one to Blakley's model for ecology [4]. 2. Result. THEOREM. Let P(x)=P({xij}) be a polynomial with nonnegative coefficients homogeneous of degree d in its variables {##}. Let x= {##} be any point of the domain D: ## §:(), ]pLi ## = 1, i = l, • • • , p, j=l, • • • , q%. For x= {xij} ££> let 3(#) = 3{##} denote the… Expand

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