## Bayesian Inference in Random Coefficient Linear Models |

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### Contents

Problems with LindleySmith Procedure | 5 |

Multiple Linear Regression | 15 |

Examples | 64 |

4 other sections not shown

### Common terms and phrases

algorithm Amount issued apoui Bayesian Inference bimodal Box and Tiao calculate canonical variables Chapter CM CM CM rH coefficients computation correlations covariance matrix Daniel and Wood Dickey double-t distribution equations example formulas function group annuities H H H hierarchical model hyperparameters improper prior incurred commission integrands integration with respect inverse iterative joint mode k=g+l least squares estimates LIMRA data Lindley and Smith Lindley-Smith marginal density marginal distribution marginal mode marginal posterior density marginal posterior distribution matrix matrix inversion method modal estimates modal-type estimates multivariate normally distributed Number Number Number Number of policies numerical integration O'Hagan estimates obtain ordinary individual annuities policies terminated posterior mean prior distribution procedure puooas random variables reason of death rH CM rH rH second stage Simpson's rule simultaneous diagonalization terminated for reason transformation TTT0 variances vector Wishart distribution zero