You are working for an airline company that wants to decide on the airplane capacities of different routes for the next 12 months.

Application of ARIMA models.

In this assignment we consider a linear steady state model that describes a simplified energy balance for a building.

Model wind power production using descriptive statistics, simple models and regression models.

Three states Markov Chain.

The mixture Poisson model and the hidden Markov chain model for the number of major earthquakes in the world from 1900 to 2016.

The second data set for this assignment comes from a double-blind, placebo-controlled trial that com- pared a three-drug treatment with a standard two-drug treatment in HIV-infected patients (Hammer et al., 1997). Patients were eligible for the trial if they had no more than 200 CD4 cells per cubic millimeter and at least three months of prior zidovudine therapy. Randomization was stratified by CD4 cell count at the time of screening. The primary outcome measure was time to AIDS or death. Because efficacy results met a pre-specified level of significance at an interim analysis, the trial was stopped early. The data come from Hosmer, D.W. and Lemeshow, S. and May, S. (2008) Applied Survival Analysis: Regression Modeling of Time to Event Data: Second Edition, John Wiley and Sons Inc., New York, NY.

There are two data sets for this assignment both dealing with the treatment of HIV patients. The first data set comes from a randomized study described in the New York Times (1991) looking at the effect of AZT (azidothymidine) on slowing the development of AIDS symptoms. The study included 338 individuals with HIV, who were randomized to either receive AZT immediately (AZT=yes) or only after severe immune weakness (AZT=no). At the end of the study the number of patients, who developed AIDS, was recorded for the two treatment groups. The data from this study are found in the file Logistic.txt.