An Alternative Conjugate Prior Distribution for Positive Parameters
Marcelo Bourguignon ()
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Marcelo Bourguignon: Universidade Federal do Rio Grande do Norte
Annals of Data Science, 2019, vol. 6, issue 2, No 4, 237-243
Abstract:
Abstract In this paper, we propose a new conjugate prior probability distribution to many likelihoods distributions. In particular, we use the weighted Lindley distribution as a conjugate prior distribution. The weighted Lindley distribution can be viewed as a mixture of two gamma distributions with know weights. The weighted Lindley distribution of conjugate priors offers a more flexible class of priors than the class of gamma prior distributions. The results are illustrated for the problem of inference for Poisson and normal parameters.
Keywords: Bayesian analysis; Conjugate prior; Gamma distribution; Weighted Lindley distribution (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s40745-018-0174-z
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