A maximum likelihood oddity

Event status:

Join us for this seminar as we discuss the maximum likelihood estimator.

Date:
Friday 13 July 2018 12:00 pm until Friday 13 July 2018 01:00 pm (Add to calendar)
Contact:
Andriy Olenko
A.Olenko@latrobe.edu.au
Presented by:
Dr Hien Nguyen, La Trobe University
Type of Event:
Seminar/Workshop/Training

Ever since its popularisation by R.A. Fisher in the early nineteen hundreds, the method of maximum likelihood estimation has grown to become among the most useful and most used point estimation techniques in statistics and allied fields. Under generous regularity conditions, the maximum likelihood estimator for any particular probability model is easy to obtain and has numerous desirable properties such as consistency and efficiency.

Unfortunately, there are some very simple probability models for which the maximum likelihood estimator is not so well behaved and where it is not so simple to state. One such model is the single parameter triangular distribution over the unit interval. We shall discuss some curiosities that arise from the maximum likelihood estimation problem for data arising from such distributions and present some recent results and an open question that is left unknown under such scenarios.

Map:

Room 310, Physical Sciences 2

La Trobe University, Melbourne Campus

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