In: Statistics and Probability
Give a formal statement of the following models identifying the probability laws of the data and the parameter space.
i.A measuring instrument is being used to obtain n independent determinations of a physical constant µ. Suppose that the measuring instrument is known to be biased to the positive side by 0.1 units. Assume that the errors are otherwise identically distributed normal random variables with known variance.
ii.suppose that the amount of bias is positive but unknown. Can you perceive any difficulties in making statements about µ for this model?