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20202022
most citedBayesian Shrinkage Estimation of Negative Multinomial Parameter Vectors

7 citations · 13 across the 7 of their papers we have counts for

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7 papers

math.ST2022

Bayesian Estimation for the Multivariate Hypergeometric Distribution Incorporating Information from Aggregated Observations

Yasuyuki Hamura

In this short note, we consider the problem of estimating multivariate hypergeometric parameters under squared error loss when side information in aggregated data is available. We…

math.ST2022

Bayesian Estimation of Multinomial Cell Probabilities Incorporating Information from Aggregated Observations

Yasuyuki Hamura

In this note, we consider the problem of estimating multinomial cell probabilities under the entropy loss when side information in aggregated data is available. We use the Jeffreys…

math.ST2021

Bayesian Shrinkage Estimation for Stratified Count Data

Yasuyuki Hamura

In this paper, we consider simultaneous estimation of Poisson parameters in situations where we can use side information in aggregated data. We use standardized squared error and e…

math.ST2021★ 2 cited

Bayesian Point Estimation and Predictive Density Estimation for the Binomial Distribution with a Restricted Probability Parameter

Yasuyuki Hamura

In this paper, we consider Bayesian point estimation and predictive density estimation in the binomial case. After presenting preliminary results on these problems, we compare the…

math.ST2020

Bayesian Shrinkage Approaches to Unbalanced Problems of Estimation and Prediction on the Basis of Negative Multinomial Samples

Yasuyuki Hamura

In this paper, we treat estimation and prediction problems where negative multinomial variables are observed and in particular consider unbalanced settings. First, the problem of e…

math.ST2020★ 4 cited

Bayesian Predictive Density Estimation for a Chi-squared Model Using Information from a Normal Observation with Unknown Mean and Variance

Yasuyuki Hamura, Tatsuya Kubokawa

In this paper, we consider the problem of estimating the density function of a Chi-squared variable on the basis of observations of another Chi-squared variable and a normal variab…

math.ST2020★ 7 cited

Bayesian Shrinkage Estimation of Negative Multinomial Parameter Vectors

Yasuyuki Hamura, Tatsuya Kubokawa

The negative multinomial distribution is a multivariate generalization of the negative binomial distribution. In this paper, we consider the problem of estimating an unknown matrix…