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Observed Data Techniques - Approximations Based on Numerical Integration, Laplace Expansions, Monte Carlo and Importance Sampling

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Tools for Statistical Inference

Part of the book series: Lecture Notes in Statistics ((LNS,volume 67))

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Abstract

For a specific data set, how do we know that the normal approximation is justified? To obtain the marginal density of (θ1,…, where l < d, we integrate over…, to obtain (θ1,…,θ1\Y) = ʃ p(θ1…,θd\Y)dθ1+1…dθd.

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© 1991 Springer-Verlag Berlin Heidelberg

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Tanner, M.A. (1991). Observed Data Techniques - Approximations Based on Numerical Integration, Laplace Expansions, Monte Carlo and Importance Sampling. In: Tools for Statistical Inference. Lecture Notes in Statistics, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0510-1_3

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  • DOI: https://doi.org/10.1007/978-1-4684-0510-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97525-2

  • Online ISBN: 978-1-4684-0510-1

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