Comment:
I need to write a proposal for Ph.D. application in statistics for the below topic: Detecting Change or Identifying Unusual Patterns in Data This project is concerned with models and statistical methods for analysing data that have been collected over time and in which we are interested in identifying whether or not there has been any significant change in their pattern. Data of this kind arise. for example, in hospitals when there is interest to analyse historical (time-series) observations relating to the prevalence or incidence of certain events (eg: infection) and assess the efficacy of interventions. Another example, is when we observe a surprisingly high number of events that occur during some time (eg: deaths of celebrities) and we want to statistically assess whether this is due to chance or not. The methods that will be used will range from simple models which assume independent observations to models for stochastic process (eg: Poisson process).
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