The file gamma-ray contains a small quantity of data collected from the Compton

Question

The file gamma-ray contains a small quantity of data collected from the Compton Gamma Ray Observatory, a satellite launched by NASA in 1991 (http://cossc.gsfc.nasa.gov/). For each of 100 sequential time intervals of variables lengths (given in seconds), the number of gamma rays originating in a particular area of the sky was recorded. Assuming a model that the arrival times are a Poisson process with constant emission rate (Lambda = events per second), estimate Lambda. What is the estimated standard error? How might you informally check the assumption that the emission rate is constant? What is the posterior distribution of Lambda if an improper gamma prior is used?

Explanation / Answer

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