Sooner and later waiting time problems for Markovian Bernoulli trials

DOI10.1016/0167-7152(93)90184-KzbMath0783.60012MaRDI QIDQ689497

R. Viveros, K. Balasubramanian, Narayanaswamy Balakrishnan

Publication date: 12 December 1993

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Bernoulli trialsfrequencies of successes and failuresmodel for individual learning

Mathematics Subject Classification ID

Combinatorial probability (60C05)

Related Items (22)

Generalized waiting time distributions associated with runs ⋮ Generalized sooner waiting time problems in a sequence of trinary trials ⋮ Run and frequency quotas in a multi-state markov chain ⋮ Quotas on runs of successes and failures in a multi-state markov chain ⋮ Success runs of length \(k\) in Markov dependent trials ⋮ Derivation of the probability distribution functions for succession quota random variables ⋮ Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials ⋮ On a waiting time distribution in a sequence of Bernoulli trials ⋮ Consecutive dual failure mode shock systems ⋮ The analysis and comparison of start-up demonstration tests ⋮ Exact and asymptotic results for pattern waiting times ⋮ Order statistics and the length of the best-n-of-(2n − 1) competition ⋮ Statistical inference for start-up demonstration tests with rejection of units upon observingdfailures ⋮ On the joint distribution of success runs of several lengths in the sequence of MBT and its applications ⋮ Waiting time distributions of runs in higher order Markov chains ⋮ Waiting time distributions of competing patterns in higher-order Markovian sequences ⋮ On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials ⋮ Sooner waiting time problems in a sequence of multi-state trials with random rewards ⋮ Waiting Times and Number of Appearances of Runs: A Unified Approach ⋮ Distribution of waiting time until the \(r\)th occurrence of a compound pattern ⋮ Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis ⋮ Discrete distributions related to success runs of lengthk in aulti-state markov chain

Cites Work

• The occurrence of sequence patterns in ergodic Markov chains
• Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
• The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain
• Quota sampling for multinomial via Dirichlet
• Application of dirichlet integrals for curtailment problems in sampling inspection
• Success runs in a two-state Markov chain
• Run Probabilities in Sequences of Markov-Dependent Trials
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