## Fitting mixtures of Erlangs to censored and truncated data using the EM algorithm.(English)Zbl 1390.62227

Summary: We discuss how to fit mixtures of Erlangs to censored and truncated data by iteratively using the EM algorithm. Mixtures of Erlangs form a very versatile, yet analytically tractable, class of distributions making them suitable for loss modeling purposes. The effectiveness of the proposed algorithm is demonstrated on simulated data as well as real data sets.

### MSC:

 62P05 Applications of statistics to actuarial sciences and financial mathematics 62N01 Censored data models 91B30 Risk theory, insurance (MSC2010)

### Software:

ElemStatLearn; plfit
Full Text:

### References:

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