Weak runs in sequences of binary trials

Spiros D. Dafnis () and Frosso S. Makri
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Spiros D. Dafnis: Agricultural University of Athens
Frosso S. Makri: University of Patras

Metrika: International Journal for Theoretical and Applied Statistics, 2022, vol. 85, issue 5, No 3, 573-603

Abstract: 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.

Keywords: Experimental trials; Distance; Exact distribution; Markov chain; Heat unit model; Personalized investing strategy; Consecutive systems; Primary 62E15; 60E05; Secondary 60J10 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-021-00842-1

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