Properties of efficient sequential plans for a birth and death process
Mathematica Applicanda, Tome 9 (1981) no. 17.

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A birth and death process with parameters θ=(λ,μ), λ>0, μ>0, is considered. The absolute continuity of measures generated by this process is proved. The Rao-Cramér inequality for the variance of the unbiased estimator of a function h(θ) is derived. Some properties of the estimator attaining the Rao-Cramér lower bound are asserted.
Mots-clés : Sequential estimation, Markov processes: estimation 
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Roman Różański. Properties of efficient sequential plans for a birth and death process. Mathematica Applicanda, Tome 9 (1981) no. 17. https://geodesic-test.mathdoc.fr/item/MA_1981__9_17_292930/