Abstract
For a one-sided truncated exponential family (oTEF) of distributions with a truncation parameter \(\gamma \) and a natural parameter \(\theta \) as a nuisance parameter, the maximum likelihood estimation on \(\gamma \) is discussed together with a bias-adjustment.
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References
Akahira, M., & Ohyauchi, N. (2017). Second-order asymptotic loss of the MLE of a truncation parameter for a truncated exponential family of distributions. Communication in Statistics: Theory and Methods, 46, 6085–6097.
Voinov, V. G. and Nikulin, M. S. (1993). Unbiased estimators and their applications (Vol. 1) Univariate Case. Dordrecht: Kluwer Academic Publishers.
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Akahira, M. (2017). Estimation of a Truncation Parameter for a One-Sided TEF. In: Statistical Estimation for Truncated Exponential Families. SpringerBriefs in Statistics(). Springer, Singapore. https://doi.org/10.1007/978-981-10-5296-5_4
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DOI: https://doi.org/10.1007/978-981-10-5296-5_4
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-5295-8
Online ISBN: 978-981-10-5296-5
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