Abstract
In the present paper the metric of distance is adapted to a sequence of binary trials and the concept of r-weak runs is introduced and defined. The new structure gives rise to new families of binomial-type distributions, which are studied in the case of independent but not necessarily identically distributed binary trials. It is highlighted how the new theoretical results can be profitably applied to various fields, such as Agriculture, Finance and Reliability Engineering.
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Dafnis, S.D., Makri, F.S. Weak runs in sequences of binary trials. Metrika 85, 573–603 (2022). https://doi.org/10.1007/s00184-021-00842-1
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DOI: https://doi.org/10.1007/s00184-021-00842-1
Keywords
- Experimental trials
- Distance
- Exact distribution
- Markov chain
- Heat unit model
- Personalized investing strategy
- Consecutive systems