From the preface:

We fail to present as many practical worked-out numerical examples as we should. Fortunately, three recent books largely make up this deficiency, and should be considered as adjuncts to the present work: Bayesian Spectrum Analysis and Parameter Estimation (Bretthorst, 1988), Maximum Entropy in Action (Buck and Macaulay, 1991), and Data Analysis – A Bayesian Tutorial (Sivia, 1996)

Which of these (or some other, more current, text) would you recommend?