Poisson approximations for 2-dimensional patterns

DOI10.1007/BF00773602zbMath0806.60010MaRDI QIDQ1336553

Markos V. Koutras, James C. Fu

Publication date: 3 November 1994

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

random matrixBernoulli random variablesconsecutive-\(k\)-out-of-\(n:F\) systemPoisson convergence theorems

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Distribution theory (60E99) Limit theorems in probability theory (60F99)

Related Items (8)

Compound Poisson approximation: A user's guide ⋮ Reliability bounds for coherent structures with independent components ⋮ Two-dimensional discrete scan statistics ⋮ Bounds for coherent reliability structures ⋮ Approximations for a three dimensional scan statistic ⋮ A reliability bound for 2-dimensional consecutive k-out-of-n: F systems ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ Approximations for a conditional two-dimensional scan statistic.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Erdős-Rényi law in distribution, for coin tossing and sequence matching
• Estimation of parameters in the discrete distributions of order k
• Some applications of the Stein-Chen method for proving Poisson convergence
• Poisson approximations for runs and patterns of rare events
• Reliability of 2-dimensional consecutive-k-out-of-n:F systems
• Distribution Theory of Runs: A Markov Chain Approach
• Two-dimensional consecutive-k-out-of-n:F models

This page was built for publication: Poisson approximations for 2-dimensional patterns