Mathematical Statistics 2018/2019, Problem set 15 Introduction to Bayesian Statistics

moments and quantiles of the empirical distribution, so they are estimators of the corresponding theoretical values. sample mean = estimator of the expected

Assume that the amount (in USD) a random consumer is willing to spend yearly on water consump- tion follows a uniform distribution on the interval [0, θ], where θ > 0 is an

(b) What is the size of a test performed by a different researcher, who tests the same hypotheses but rejecting the null when all seedlings sprout?. (c) A third researcher tests

Verify if this sample allows to assume that the mean price for this type of vehicle is equal to 3 (thousand USD), or rather more, for a 0.05 significance level.. A producer of

In a group of 180 random workers of the first factory, the mean absence in work during the analyzed year was equal to 16 days, with a standard deviation of 62. In a group of 200

A shop assistant believes that orange juice is bought three times more frequently than apple juice, while the latter is bought twice as frequently as tomato juice.. The consequences

Prior to the experiment, one employee of the company was hesitant to make any predictions about the probability θ that the drug administered to a single individual will alleviate

Later, when we consider Bayesian parameter estimation, we will use this distribution as a conjugate prior for a scale parameter (such as the variance of a Gaussian);.. increasing