scientific article; zbMATH DE number 7306664

zbMath1454.11036MaRDI QIDQ5148809

Petros Hadjicostas

Publication date: 5 February 2021

Full work available at URL: http://math.colgate.edu/~integers/v11/v11.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(k\)-step Fibonacci numbersBernoulli-Fibonacci distribution

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Combinatorial probability (60C05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Success runs in symmetric Bernoulli process
• Generalized Fibonacci numbers and Blackwell's renewal theorem
• Improved bounds for the average run length of control charts based on finite weighted sums
• On a waiting time distribution in a sequence of Bernoulli trials
• Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials
• Control charts based on weighted sums
• Combinatorial theory.
• AVERAGE RUN LENGTHS FOR MOVING AVERAGE CONTROL CHARTS
• Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers
• A Note on Average Run Lengths of Moving Average Control Charts
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