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Zero-truncated Poisson-Lindley distribution and its application. (English) Zbl 1153.62308
Summary: The zero-truncated Poisson-Lindley distribution [see D. V. Lindley, J. R. Stat. Soc., Ser. B 20, 102–107 (1958; Zbl 0085.35503)] is introduced and investigated. In particular, the method of moments and maximum likelihood estimators of the distribution’s parameter are compared in small and large samples. Application of the model to real data is given.

MSC:
62E15 Exact distribution theory in statistics
62F12 Asymptotic properties of parametric estimators
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