Weak runs in sequences of binary trials

被引：8

作者：

Dafnis, Spiros D. ^{[1
]}

Makri, Frosso S. ^{[2
]}

机构：

[1] Agr Univ Athens, Dept Crop Sci, Athens, Greece

[2] Univ Patras, Dept Math, Patras, Greece

来源：

METRIKA | 2022年 / 85卷 / 05期

关键词：

Experimental trials; Distance; Exact distribution; Markov chain; Heat unit model; Personalized investing strategy; Consecutive systems; NEGATIVE BINOMIAL DISTRIBUTIONS; SUCCESS-RUNS; ORDER-K; JOINT DISTRIBUTIONS; TEMPERATURE; RELIABILITY; EXTENSION; PATTERNS; FAILURES; QUALITY;

D O I：

10.1007/s00184-021-00842-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：573 / 603

页数：31

共 80 条

[1] Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order k [J].