Markov binomial distribution of order \(k\) and its applications

DOI10.1007/s00362-015-0728-5zbMath1384.60036OpenAlexW2466099444MaRDI QIDQ1685221

Publication date: 13 December 2017

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-015-0728-5

zbMATH Keywords

matrix polynomials circular systems Markov binomial distribution of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Reliability, availability, maintenance, inspection in operations research (90B25) Combinatorial probability (60C05) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On success runs of length exceeded a threshold
Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences
On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)
Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
On the conditional and unconditional distributions of the number of success runs on a circle with applications
On binomial distributions of order k
Waiting time problems for a sequence of discrete random variables
Reliabilities for \((n,f,k)\) systems
Explicit distributional results in pattern formation
Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials
Circular success and failure runs in a sequence of exchangeable binary trials
Shortest and longest length of success runs in binary sequences
On the dual reliability systems of \((n,f,k)\) and \(\langle n,f,k \rangle\)
Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs
On the estimation of serial correlation in Markov-dependent production processes
Exact Reliability Formulas for Linear & Circular Consecutive-k-out-of-n:F Systems
Fast Recursive Algorithm to Evaluate the Reliability of a Circular Consecutive-k-out-of-n:F System
Fast Solutions for Consecutive-k-out-of-n: F System
Distribution Theory of Runs: A Markov Chain Approach
Success runs in a two-state Markov chain
Runs on a circle
A simple derivation of exact reliability formulas for linear and circular consecutive-k-of-n: F systems
On the Reliability of (n,f,k) and 〈n,f,k〉 Systems
The Distribution Theory of Runs
Runs in a ring
Successes, runs and longest runs
Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order \(k\)

This page was built for publication: Markov binomial distribution of order \(k\) and its applications