which is a probability distribution commonly used in statistics. The t-distribution can also be used to conduct a hypothesis test of the linear regression, where the hypotheses are as follows: We ...

In this paper, we propose a functional linear regression model in the space of probability density functions. We treat a cross-sectional distribution of individual earnings as an infinite dimensional ...

The course covers the probability, distribution theory and statistical inference ... Most powerful tests. Neyman-Pearson lemma. Linear regression. Least-squares estimation. Generalised linear models.

Statistical inference for linear regression relies heavily ... Figure 2: Q–Q (normal probability) plots compare the differences between two distributions by showing how their quantiles differ.

In generalized linear models, the response is assumed to possess a probability distribution of the exponential form. That is, the probability density of the response Y for continuous response ...